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efrain |
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<?xml version="1.0" encoding="UTF-8"?>
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<quiz>
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<!-- question: 0 -->
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<question type="category">
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<category>
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<text>$course$/Default for Scratch/input_samples</text>
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</category>
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</question>
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<!-- question: 1 -->
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<question type="stack">
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<name>
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<text>Algebraic input</text>
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</name>
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<questiontext format="html">
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<text><![CDATA[<p>Type in {@ta@}.<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
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</questiontext>
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<generalfeedback format="html">
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<text></text>
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</generalfeedback>
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<defaultgrade>1.0000000</defaultgrade>
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<penalty>0.1000000</penalty>
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<hidden>0</hidden>
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<questionvariables>
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<text>ta:a*b</text>
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</questionvariables>
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<specificfeedback format="html">
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<text>[[feedback:prt1]]</text>
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</specificfeedback>
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<questionnote>
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<text></text>
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</questionnote>
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<questionsimplify>1</questionsimplify>
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<assumepositive>0</assumepositive>
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<assumereal>0</assumereal>
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<prtcorrect format="html">
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<text>Correct answer, well done.</text>
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</prtcorrect>
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<prtpartiallycorrect format="html">
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<text>Your answer is partially correct.</text>
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</prtpartiallycorrect>
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<prtincorrect format="html">
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<text>Incorrect answer.</text>
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</prtincorrect>
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<multiplicationsign>dot</multiplicationsign>
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<sqrtsign>1</sqrtsign>
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<complexno>i</complexno>
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<inversetrig>cos-1</inversetrig>
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<matrixparens>[</matrixparens>
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<variantsselectionseed></variantsselectionseed>
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<input>
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<name>ans1</name>
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<type>algebraic</type>
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<tans>ta</tans>
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<boxsize>15</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>2</insertstars>
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<syntaxhint></syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords>solve</forbidwords>
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<allowwords></allowwords>
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<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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<checkanswertype>1</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<prt>
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<name>prt1</name>
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<value>1.0000000</value>
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<autosimplify>1</autosimplify>
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<feedbackvariables>
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<text></text>
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</feedbackvariables>
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<node>
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<name>0</name>
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<answertest>AlgEquiv</answertest>
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<sans>ans1</sans>
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<tans>ta</tans>
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<testoptions></testoptions>
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<quiet>0</quiet>
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<truescoremode>=</truescoremode>
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<truescore>1.0000000</truescore>
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<truepenalty></truepenalty>
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<truenextnode>-1</truenextnode>
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<trueanswernote>prt1-1-T</trueanswernote>
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<truefeedback format="html">
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<text></text>
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</truefeedback>
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<falsescoremode>=</falsescoremode>
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<falsescore>0.0000000</falsescore>
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<falsepenalty></falsepenalty>
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<falsenextnode>-1</falsenextnode>
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<falseanswernote>prt1-1-F</falseanswernote>
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<falsefeedback format="html">
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<text></text>
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</falsefeedback>
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</node>
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</prt>
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</question>
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<!-- question: 2 -->
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<question type="stack">
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<name>
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<text>Algebraic input (answer box sizes test)</text>
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</name>
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<questiontext format="html">
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<text><![CDATA[<p>This question just tests answer boxes of multiple sizes.</p><p>[[input:ans1]] [[validation:ans1]]</p><p>[[input:ans2]] [[validation:ans2]]</p><p>[[input:ans3]] [[validation:ans3]]</p><p>[[input:ans4]] [[validation:ans4]]</p><p>[[input:ans5]] [[validation:ans5]]</p><p>[[input:ans7]] [[validation:ans7]]</p><p>[[input:ans10]] [[validation:ans10]]</p><p>[[input:ans15]] [[validation:ans15]]</p><p>[[input:ans20]] [[validation:ans20]]</p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p>]]></text>
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</questiontext>
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<generalfeedback format="html">
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<text></text>
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</generalfeedback>
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<defaultgrade>1.0000000</defaultgrade>
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<penalty>0.1000000</penalty>
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<hidden>0</hidden>
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<questionvariables>
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<text></text>
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</questionvariables>
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<specificfeedback format="html">
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<text>[[feedback:prt1]]</text>
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</specificfeedback>
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<questionnote>
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<text></text>
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</questionnote>
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<questionsimplify>1</questionsimplify>
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<assumepositive>0</assumepositive>
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<assumereal>0</assumereal>
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<prtcorrect format="html">
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<text>Correct answer, well done.</text>
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</prtcorrect>
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<prtpartiallycorrect format="html">
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<text>Your answer is partially correct.</text>
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</prtpartiallycorrect>
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<prtincorrect format="html">
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<text>Incorrect answer.</text>
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</prtincorrect>
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<multiplicationsign>dot</multiplicationsign>
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<sqrtsign>1</sqrtsign>
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<complexno>i</complexno>
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<inversetrig>cos-1</inversetrig>
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<matrixparens>[</matrixparens>
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<variantsselectionseed></variantsselectionseed>
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<input>
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<name>ans1</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>1</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>2</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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<checkanswertype>0</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans10</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>10</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>2222222222</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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<checkanswertype>0</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans15</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>15</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>222222222222222</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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<checkanswertype>0</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans2</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>2</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>22</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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<checkanswertype>0</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans20</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>20</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>12345123451234512345</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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228 |
<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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230 |
<checkanswertype>0</checkanswertype>
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<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans3</name>
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<type>algebraic</type>
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238 |
<tans>2</tans>
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<boxsize>3</boxsize>
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240 |
<strictsyntax>1</strictsyntax>
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241 |
<insertstars>0</insertstars>
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242 |
<syntaxhint>222</syntaxhint>
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243 |
<syntaxattribute>0</syntaxattribute>
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244 |
<forbidwords></forbidwords>
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245 |
<allowwords></allowwords>
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246 |
<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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248 |
<checkanswertype>0</checkanswertype>
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249 |
<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans4</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>4</boxsize>
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<strictsyntax>1</strictsyntax>
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<insertstars>0</insertstars>
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<syntaxhint>2222</syntaxhint>
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<syntaxattribute>0</syntaxattribute>
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<forbidwords></forbidwords>
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<allowwords></allowwords>
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264 |
<forbidfloat>1</forbidfloat>
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<requirelowestterms>0</requirelowestterms>
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266 |
<checkanswertype>0</checkanswertype>
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267 |
<mustverify>1</mustverify>
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<showvalidation>1</showvalidation>
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<options></options>
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</input>
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<input>
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<name>ans5</name>
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<type>algebraic</type>
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<tans>2</tans>
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<boxsize>5</boxsize>
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<strictsyntax>1</strictsyntax>
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277 |
<insertstars>0</insertstars>
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278 |
<syntaxhint>22222</syntaxhint>
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279 |
<syntaxattribute>0</syntaxattribute>
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280 |
<forbidwords></forbidwords>
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281 |
<allowwords></allowwords>
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282 |
<forbidfloat>1</forbidfloat>
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283 |
<requirelowestterms>0</requirelowestterms>
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284 |
<checkanswertype>0</checkanswertype>
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285 |
<mustverify>1</mustverify>
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286 |
<showvalidation>1</showvalidation>
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<options></options>
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</input>
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289 |
<input>
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<name>ans7</name>
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291 |
<type>algebraic</type>
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292 |
<tans>2</tans>
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293 |
<boxsize>5</boxsize>
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294 |
<strictsyntax>1</strictsyntax>
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295 |
<insertstars>0</insertstars>
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296 |
<syntaxhint>2222222</syntaxhint>
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297 |
<syntaxattribute>0</syntaxattribute>
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298 |
<forbidwords></forbidwords>
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299 |
<allowwords></allowwords>
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300 |
<forbidfloat>1</forbidfloat>
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301 |
<requirelowestterms>0</requirelowestterms>
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302 |
<checkanswertype>0</checkanswertype>
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303 |
<mustverify>1</mustverify>
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304 |
<showvalidation>1</showvalidation>
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305 |
<options></options>
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</input>
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307 |
<prt>
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308 |
<name>prt1</name>
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309 |
<value>1.0000000</value>
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310 |
<autosimplify>1</autosimplify>
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311 |
<feedbackvariables>
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312 |
<text></text>
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313 |
</feedbackvariables>
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314 |
<node>
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315 |
<name>0</name>
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316 |
<answertest>AlgEquiv</answertest>
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317 |
<sans>ans1</sans>
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318 |
<tans>2</tans>
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319 |
<testoptions></testoptions>
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320 |
<quiet>0</quiet>
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321 |
<truescoremode>=</truescoremode>
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322 |
<truescore>1.0000000</truescore>
|
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323 |
<truepenalty></truepenalty>
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324 |
<truenextnode>-1</truenextnode>
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325 |
<trueanswernote>prt1-1-T</trueanswernote>
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326 |
<truefeedback format="html">
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327 |
<text><![CDATA[<p>This just takes account of the first answer box!</p>]]></text>
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328 |
</truefeedback>
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329 |
<falsescoremode>=</falsescoremode>
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330 |
<falsescore>0.0000000</falsescore>
|
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331 |
<falsepenalty></falsepenalty>
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332 |
<falsenextnode>-1</falsenextnode>
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|
333 |
<falseanswernote>prt1-1-F</falseanswernote>
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334 |
<falsefeedback format="html">
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335 |
<text><![CDATA[<p>This just takes account of the first answer box!<br></p>]]></text>
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336 |
</falsefeedback>
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</node>
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</prt>
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</question>
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340 |
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|
|
341 |
<!-- question: 3 -->
|
|
|
342 |
<question type="stack">
|
|
|
343 |
<name>
|
|
|
344 |
<text>Checkbox</text>
|
|
|
345 |
</name>
|
|
|
346 |
<questiontext format="html">
|
|
|
347 |
<text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
348 |
</questiontext>
|
|
|
349 |
<generalfeedback format="html">
|
|
|
350 |
<text></text>
|
|
|
351 |
</generalfeedback>
|
|
|
352 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
353 |
<penalty>0.1000000</penalty>
|
|
|
354 |
<hidden>0</hidden>
|
|
|
355 |
<questionvariables>
|
|
|
356 |
<text><![CDATA[/* Create a list of potential answers. */
|
|
|
357 |
p:sin(2*x);
|
|
|
358 |
ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
|
|
|
359 |
/* The actual correct answer. */
|
|
|
360 |
tac:diff(p,x)
|
|
|
361 |
/* Add in a "None of these" to the end of the list. The Maxima value is the atom null. */
|
|
|
362 |
tao:[null, false, "None of these"];
|
|
|
363 |
ta:append(ta,[tao]);]]></text>
|
|
|
364 |
</questionvariables>
|
|
|
365 |
<specificfeedback format="html">
|
|
|
366 |
<text>[[feedback:prt1]]</text>
|
|
|
367 |
</specificfeedback>
|
|
|
368 |
<questionnote>
|
|
|
369 |
<text></text>
|
|
|
370 |
</questionnote>
|
|
|
371 |
<questionsimplify>1</questionsimplify>
|
|
|
372 |
<assumepositive>0</assumepositive>
|
|
|
373 |
<assumereal>0</assumereal>
|
|
|
374 |
<prtcorrect format="html">
|
|
|
375 |
<text>Correct answer, well done.</text>
|
|
|
376 |
</prtcorrect>
|
|
|
377 |
<prtpartiallycorrect format="html">
|
|
|
378 |
<text>Your answer is partially correct.</text>
|
|
|
379 |
</prtpartiallycorrect>
|
|
|
380 |
<prtincorrect format="html">
|
|
|
381 |
<text>Incorrect answer.</text>
|
|
|
382 |
</prtincorrect>
|
|
|
383 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
384 |
<sqrtsign>1</sqrtsign>
|
|
|
385 |
<complexno>i</complexno>
|
|
|
386 |
<inversetrig>cos-1</inversetrig>
|
|
|
387 |
<matrixparens>[</matrixparens>
|
|
|
388 |
<variantsselectionseed></variantsselectionseed>
|
|
|
389 |
<input>
|
|
|
390 |
<name>ans1</name>
|
|
|
391 |
<type>checkbox</type>
|
|
|
392 |
<tans>ta</tans>
|
|
|
393 |
<boxsize>15</boxsize>
|
|
|
394 |
<strictsyntax>1</strictsyntax>
|
|
|
395 |
<insertstars>0</insertstars>
|
|
|
396 |
<syntaxhint></syntaxhint>
|
|
|
397 |
<syntaxattribute>0</syntaxattribute>
|
|
|
398 |
<forbidwords></forbidwords>
|
|
|
399 |
<allowwords></allowwords>
|
|
|
400 |
<forbidfloat>1</forbidfloat>
|
|
|
401 |
<requirelowestterms>0</requirelowestterms>
|
|
|
402 |
<checkanswertype>0</checkanswertype>
|
|
|
403 |
<mustverify>1</mustverify>
|
|
|
404 |
<showvalidation>2</showvalidation>
|
|
|
405 |
<options></options>
|
|
|
406 |
</input>
|
|
|
407 |
<prt>
|
|
|
408 |
<name>prt1</name>
|
|
|
409 |
<value>1.0000000</value>
|
|
|
410 |
<autosimplify>1</autosimplify>
|
|
|
411 |
<feedbackvariables>
|
|
|
412 |
<text></text>
|
|
|
413 |
</feedbackvariables>
|
|
|
414 |
<node>
|
|
|
415 |
<name>0</name>
|
|
|
416 |
<answertest>Diff</answertest>
|
|
|
417 |
<sans>first(ans1)</sans>
|
|
|
418 |
<tans>diff(p,x)</tans>
|
|
|
419 |
<testoptions>x</testoptions>
|
|
|
420 |
<quiet>0</quiet>
|
|
|
421 |
<truescoremode>=</truescoremode>
|
|
|
422 |
<truescore>1.0000000</truescore>
|
|
|
423 |
<truepenalty></truepenalty>
|
|
|
424 |
<truenextnode>-1</truenextnode>
|
|
|
425 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
426 |
<truefeedback format="html">
|
|
|
427 |
<text></text>
|
|
|
428 |
</truefeedback>
|
|
|
429 |
<falsescoremode>=</falsescoremode>
|
|
|
430 |
<falsescore>0.0000000</falsescore>
|
|
|
431 |
<falsepenalty></falsepenalty>
|
|
|
432 |
<falsenextnode>-1</falsenextnode>
|
|
|
433 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
434 |
<falsefeedback format="html">
|
|
|
435 |
<text></text>
|
|
|
436 |
</falsefeedback>
|
|
|
437 |
</node>
|
|
|
438 |
</prt>
|
|
|
439 |
</question>
|
|
|
440 |
|
|
|
441 |
<!-- question: 4 -->
|
|
|
442 |
<question type="stack">
|
|
|
443 |
<name>
|
|
|
444 |
<text>Dropdown (shuffle)</text>
|
|
|
445 |
</name>
|
|
|
446 |
<questiontext format="html">
|
|
|
447 |
<text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
448 |
</questiontext>
|
|
|
449 |
<generalfeedback format="html">
|
|
|
450 |
<text></text>
|
|
|
451 |
</generalfeedback>
|
|
|
452 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
453 |
<penalty>0.1000000</penalty>
|
|
|
454 |
<hidden>0</hidden>
|
|
|
455 |
<questionvariables>
|
|
|
456 |
<text><![CDATA[/* Create a list of potential answers. */
|
|
|
457 |
p:sin(2*x);
|
|
|
458 |
ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
|
|
|
459 |
/* The actual correct answer. */
|
|
|
460 |
tac:diff(p,x)
|
|
|
461 |
/* Randomly shuffle the list "ta". */
|
|
|
462 |
ta:random_permutation(ta);
|
|
|
463 |
/* Add in a "None of these" to the end of the list. The Maxima value is the atom null. */
|
|
|
464 |
tao:[null, false, "None of these"];
|
|
|
465 |
ta:append(ta,[tao]);]]></text>
|
|
|
466 |
</questionvariables>
|
|
|
467 |
<specificfeedback format="html">
|
|
|
468 |
<text>[[feedback:prt1]]</text>
|
|
|
469 |
</specificfeedback>
|
|
|
470 |
<questionnote>
|
|
|
471 |
<text>{@ta@}</text>
|
|
|
472 |
</questionnote>
|
|
|
473 |
<questionsimplify>1</questionsimplify>
|
|
|
474 |
<assumepositive>0</assumepositive>
|
|
|
475 |
<assumereal>0</assumereal>
|
|
|
476 |
<prtcorrect format="html">
|
|
|
477 |
<text>Correct answer, well done.</text>
|
|
|
478 |
</prtcorrect>
|
|
|
479 |
<prtpartiallycorrect format="html">
|
|
|
480 |
<text>Your answer is partially correct.</text>
|
|
|
481 |
</prtpartiallycorrect>
|
|
|
482 |
<prtincorrect format="html">
|
|
|
483 |
<text>Incorrect answer.</text>
|
|
|
484 |
</prtincorrect>
|
|
|
485 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
486 |
<sqrtsign>1</sqrtsign>
|
|
|
487 |
<complexno>i</complexno>
|
|
|
488 |
<inversetrig>cos-1</inversetrig>
|
|
|
489 |
<matrixparens>[</matrixparens>
|
|
|
490 |
<variantsselectionseed></variantsselectionseed>
|
|
|
491 |
<input>
|
|
|
492 |
<name>ans1</name>
|
|
|
493 |
<type>dropdown</type>
|
|
|
494 |
<tans>ta</tans>
|
|
|
495 |
<boxsize>15</boxsize>
|
|
|
496 |
<strictsyntax>1</strictsyntax>
|
|
|
497 |
<insertstars>0</insertstars>
|
|
|
498 |
<syntaxhint></syntaxhint>
|
|
|
499 |
<syntaxattribute>0</syntaxattribute>
|
|
|
500 |
<forbidwords></forbidwords>
|
|
|
501 |
<allowwords></allowwords>
|
|
|
502 |
<forbidfloat>1</forbidfloat>
|
|
|
503 |
<requirelowestterms>0</requirelowestterms>
|
|
|
504 |
<checkanswertype>0</checkanswertype>
|
|
|
505 |
<mustverify>1</mustverify>
|
|
|
506 |
<showvalidation>2</showvalidation>
|
|
|
507 |
<options></options>
|
|
|
508 |
</input>
|
|
|
509 |
<prt>
|
|
|
510 |
<name>prt1</name>
|
|
|
511 |
<value>1.0000000</value>
|
|
|
512 |
<autosimplify>1</autosimplify>
|
|
|
513 |
<feedbackvariables>
|
|
|
514 |
<text></text>
|
|
|
515 |
</feedbackvariables>
|
|
|
516 |
<node>
|
|
|
517 |
<name>0</name>
|
|
|
518 |
<answertest>Diff</answertest>
|
|
|
519 |
<sans>first(ans1)</sans>
|
|
|
520 |
<tans>diff(p,x)</tans>
|
|
|
521 |
<testoptions>x</testoptions>
|
|
|
522 |
<quiet>0</quiet>
|
|
|
523 |
<truescoremode>=</truescoremode>
|
|
|
524 |
<truescore>1.0000000</truescore>
|
|
|
525 |
<truepenalty></truepenalty>
|
|
|
526 |
<truenextnode>-1</truenextnode>
|
|
|
527 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
528 |
<truefeedback format="html">
|
|
|
529 |
<text></text>
|
|
|
530 |
</truefeedback>
|
|
|
531 |
<falsescoremode>=</falsescoremode>
|
|
|
532 |
<falsescore>0.0000000</falsescore>
|
|
|
533 |
<falsepenalty></falsepenalty>
|
|
|
534 |
<falsenextnode>-1</falsenextnode>
|
|
|
535 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
536 |
<falsefeedback format="html">
|
|
|
537 |
<text></text>
|
|
|
538 |
</falsefeedback>
|
|
|
539 |
</node>
|
|
|
540 |
</prt>
|
|
|
541 |
</question>
|
|
|
542 |
|
|
|
543 |
<!-- question: 5 -->
|
|
|
544 |
<question type="stack">
|
|
|
545 |
<name>
|
|
|
546 |
<text>Equiv input test</text>
|
|
|
547 |
</name>
|
|
|
548 |
<questiontext format="html">
|
|
|
549 |
<text><![CDATA[<p>Solve {@p@}.<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
550 |
</questiontext>
|
|
|
551 |
<generalfeedback format="html">
|
|
|
552 |
<text><![CDATA[<p>sangwinc<br></p>]]></text>
|
|
|
553 |
</generalfeedback>
|
|
|
554 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
555 |
<penalty>0.1000000</penalty>
|
|
|
556 |
<hidden>0</hidden>
|
|
|
557 |
<questionvariables>
|
|
|
558 |
<text>v:x
|
|
|
559 |
p:3*v+7=4
|
|
|
560 |
ta:[p,x=(4-7)/3,x=-1]</text>
|
|
|
561 |
</questionvariables>
|
|
|
562 |
<specificfeedback format="html">
|
|
|
563 |
<text>[[feedback:prt1]]</text>
|
|
|
564 |
</specificfeedback>
|
|
|
565 |
<questionnote>
|
|
|
566 |
<text></text>
|
|
|
567 |
</questionnote>
|
|
|
568 |
<questionsimplify>1</questionsimplify>
|
|
|
569 |
<assumepositive>0</assumepositive>
|
|
|
570 |
<assumereal>0</assumereal>
|
|
|
571 |
<prtcorrect format="html">
|
|
|
572 |
<text>Correct answer, well done.</text>
|
|
|
573 |
</prtcorrect>
|
|
|
574 |
<prtpartiallycorrect format="html">
|
|
|
575 |
<text>Your answer is partially correct.</text>
|
|
|
576 |
</prtpartiallycorrect>
|
|
|
577 |
<prtincorrect format="html">
|
|
|
578 |
<text>Incorrect answer.</text>
|
|
|
579 |
</prtincorrect>
|
|
|
580 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
581 |
<sqrtsign>1</sqrtsign>
|
|
|
582 |
<complexno>i</complexno>
|
|
|
583 |
<inversetrig>cos-1</inversetrig>
|
|
|
584 |
<matrixparens>[</matrixparens>
|
|
|
585 |
<variantsselectionseed></variantsselectionseed>
|
|
|
586 |
<input>
|
|
|
587 |
<name>ans1</name>
|
|
|
588 |
<type>equiv</type>
|
|
|
589 |
<tans>ta</tans>
|
|
|
590 |
<boxsize>15</boxsize>
|
|
|
591 |
<strictsyntax>1</strictsyntax>
|
|
|
592 |
<insertstars>5</insertstars>
|
|
|
593 |
<syntaxhint>firstline</syntaxhint>
|
|
|
594 |
<syntaxattribute>0</syntaxattribute>
|
|
|
595 |
<forbidwords></forbidwords>
|
|
|
596 |
<allowwords></allowwords>
|
|
|
597 |
<forbidfloat>1</forbidfloat>
|
|
|
598 |
<requirelowestterms>0</requirelowestterms>
|
|
|
599 |
<checkanswertype>1</checkanswertype>
|
|
|
600 |
<mustverify>1</mustverify>
|
|
|
601 |
<showvalidation>1</showvalidation>
|
|
|
602 |
<options></options>
|
|
|
603 |
</input>
|
|
|
604 |
<prt>
|
|
|
605 |
<name>prt1</name>
|
|
|
606 |
<value>1.0000000</value>
|
|
|
607 |
<autosimplify>1</autosimplify>
|
|
|
608 |
<feedbackvariables>
|
|
|
609 |
<text></text>
|
|
|
610 |
</feedbackvariables>
|
|
|
611 |
<node>
|
|
|
612 |
<name>0</name>
|
|
|
613 |
<answertest>AlgEquiv</answertest>
|
|
|
614 |
<sans>last(ans1)</sans>
|
|
|
615 |
<tans>last(ta)</tans>
|
|
|
616 |
<testoptions></testoptions>
|
|
|
617 |
<quiet>0</quiet>
|
|
|
618 |
<truescoremode>=</truescoremode>
|
|
|
619 |
<truescore>1.0000000</truescore>
|
|
|
620 |
<truepenalty></truepenalty>
|
|
|
621 |
<truenextnode>-1</truenextnode>
|
|
|
622 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
623 |
<truefeedback format="html">
|
|
|
624 |
<text></text>
|
|
|
625 |
</truefeedback>
|
|
|
626 |
<falsescoremode>=</falsescoremode>
|
|
|
627 |
<falsescore>0.0000000</falsescore>
|
|
|
628 |
<falsepenalty></falsepenalty>
|
|
|
629 |
<falsenextnode>-1</falsenextnode>
|
|
|
630 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
631 |
<falsefeedback format="html">
|
|
|
632 |
<text></text>
|
|
|
633 |
</falsefeedback>
|
|
|
634 |
</node>
|
|
|
635 |
</prt>
|
|
|
636 |
</question>
|
|
|
637 |
|
|
|
638 |
<!-- question: 6 -->
|
|
|
639 |
<question type="stack">
|
|
|
640 |
<name>
|
|
|
641 |
<text>Matrix</text>
|
|
|
642 |
</name>
|
|
|
643 |
<questiontext format="html">
|
|
|
644 |
<text><![CDATA[<p>Type in {@M@}<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
645 |
</questiontext>
|
|
|
646 |
<generalfeedback format="html">
|
|
|
647 |
<text></text>
|
|
|
648 |
</generalfeedback>
|
|
|
649 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
650 |
<penalty>0.1000000</penalty>
|
|
|
651 |
<hidden>0</hidden>
|
|
|
652 |
<questionvariables>
|
|
|
653 |
<text>M:matrix([1,2],[3,4])</text>
|
|
|
654 |
</questionvariables>
|
|
|
655 |
<specificfeedback format="html">
|
|
|
656 |
<text>[[feedback:prt1]]</text>
|
|
|
657 |
</specificfeedback>
|
|
|
658 |
<questionnote>
|
|
|
659 |
<text></text>
|
|
|
660 |
</questionnote>
|
|
|
661 |
<questionsimplify>1</questionsimplify>
|
|
|
662 |
<assumepositive>0</assumepositive>
|
|
|
663 |
<assumereal>0</assumereal>
|
|
|
664 |
<prtcorrect format="html">
|
|
|
665 |
<text>Correct answer, well done.</text>
|
|
|
666 |
</prtcorrect>
|
|
|
667 |
<prtpartiallycorrect format="html">
|
|
|
668 |
<text>Your answer is partially correct.</text>
|
|
|
669 |
</prtpartiallycorrect>
|
|
|
670 |
<prtincorrect format="html">
|
|
|
671 |
<text>Incorrect answer.</text>
|
|
|
672 |
</prtincorrect>
|
|
|
673 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
674 |
<sqrtsign>1</sqrtsign>
|
|
|
675 |
<complexno>i</complexno>
|
|
|
676 |
<inversetrig>cos-1</inversetrig>
|
|
|
677 |
<matrixparens>[</matrixparens>
|
|
|
678 |
<variantsselectionseed></variantsselectionseed>
|
|
|
679 |
<input>
|
|
|
680 |
<name>ans1</name>
|
|
|
681 |
<type>matrix</type>
|
|
|
682 |
<tans>M</tans>
|
|
|
683 |
<boxsize>15</boxsize>
|
|
|
684 |
<strictsyntax>1</strictsyntax>
|
|
|
685 |
<insertstars>0</insertstars>
|
|
|
686 |
<syntaxhint></syntaxhint>
|
|
|
687 |
<syntaxattribute>0</syntaxattribute>
|
|
|
688 |
<forbidwords></forbidwords>
|
|
|
689 |
<allowwords></allowwords>
|
|
|
690 |
<forbidfloat>1</forbidfloat>
|
|
|
691 |
<requirelowestterms>0</requirelowestterms>
|
|
|
692 |
<checkanswertype>1</checkanswertype>
|
|
|
693 |
<mustverify>1</mustverify>
|
|
|
694 |
<showvalidation>1</showvalidation>
|
|
|
695 |
<options></options>
|
|
|
696 |
</input>
|
|
|
697 |
<prt>
|
|
|
698 |
<name>prt1</name>
|
|
|
699 |
<value>1.0000000</value>
|
|
|
700 |
<autosimplify>1</autosimplify>
|
|
|
701 |
<feedbackvariables>
|
|
|
702 |
<text></text>
|
|
|
703 |
</feedbackvariables>
|
|
|
704 |
<node>
|
|
|
705 |
<name>0</name>
|
|
|
706 |
<answertest>AlgEquiv</answertest>
|
|
|
707 |
<sans>ans1</sans>
|
|
|
708 |
<tans>M</tans>
|
|
|
709 |
<testoptions></testoptions>
|
|
|
710 |
<quiet>0</quiet>
|
|
|
711 |
<truescoremode>=</truescoremode>
|
|
|
712 |
<truescore>1.0000000</truescore>
|
|
|
713 |
<truepenalty></truepenalty>
|
|
|
714 |
<truenextnode>-1</truenextnode>
|
|
|
715 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
716 |
<truefeedback format="html">
|
|
|
717 |
<text></text>
|
|
|
718 |
</truefeedback>
|
|
|
719 |
<falsescoremode>=</falsescoremode>
|
|
|
720 |
<falsescore>0.0000000</falsescore>
|
|
|
721 |
<falsepenalty></falsepenalty>
|
|
|
722 |
<falsenextnode>-1</falsenextnode>
|
|
|
723 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
724 |
<falsefeedback format="html">
|
|
|
725 |
<text></text>
|
|
|
726 |
</falsefeedback>
|
|
|
727 |
</node>
|
|
|
728 |
</prt>
|
|
|
729 |
</question>
|
|
|
730 |
|
|
|
731 |
<!-- question: 7 -->
|
|
|
732 |
<question type="stack">
|
|
|
733 |
<name>
|
|
|
734 |
<text>Notes</text>
|
|
|
735 |
</name>
|
|
|
736 |
<questiontext format="html">
|
|
|
737 |
<text><![CDATA[<p>Show your working in this box! \(x\).<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
738 |
</questiontext>
|
|
|
739 |
<generalfeedback format="html">
|
|
|
740 |
<text></text>
|
|
|
741 |
</generalfeedback>
|
|
|
742 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
743 |
<penalty>0.1000000</penalty>
|
|
|
744 |
<hidden>0</hidden>
|
|
|
745 |
<questionvariables>
|
|
|
746 |
<text></text>
|
|
|
747 |
</questionvariables>
|
|
|
748 |
<specificfeedback format="html">
|
|
|
749 |
<text>[[feedback:prt1]]</text>
|
|
|
750 |
</specificfeedback>
|
|
|
751 |
<questionnote>
|
|
|
752 |
<text></text>
|
|
|
753 |
</questionnote>
|
|
|
754 |
<questionsimplify>1</questionsimplify>
|
|
|
755 |
<assumepositive>0</assumepositive>
|
|
|
756 |
<assumereal>0</assumereal>
|
|
|
757 |
<prtcorrect format="html">
|
|
|
758 |
<text>Correct answer, well done.</text>
|
|
|
759 |
</prtcorrect>
|
|
|
760 |
<prtpartiallycorrect format="html">
|
|
|
761 |
<text>Your answer is partially correct.</text>
|
|
|
762 |
</prtpartiallycorrect>
|
|
|
763 |
<prtincorrect format="html">
|
|
|
764 |
<text>Incorrect answer.</text>
|
|
|
765 |
</prtincorrect>
|
|
|
766 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
767 |
<sqrtsign>1</sqrtsign>
|
|
|
768 |
<complexno>i</complexno>
|
|
|
769 |
<inversetrig>cos-1</inversetrig>
|
|
|
770 |
<matrixparens>[</matrixparens>
|
|
|
771 |
<variantsselectionseed></variantsselectionseed>
|
|
|
772 |
<input>
|
|
|
773 |
<name>ans1</name>
|
|
|
774 |
<type>notes</type>
|
|
|
775 |
<tans>true</tans>
|
|
|
776 |
<boxsize>15</boxsize>
|
|
|
777 |
<strictsyntax>1</strictsyntax>
|
|
|
778 |
<insertstars>0</insertstars>
|
|
|
779 |
<syntaxhint></syntaxhint>
|
|
|
780 |
<syntaxattribute>0</syntaxattribute>
|
|
|
781 |
<forbidwords></forbidwords>
|
|
|
782 |
<allowwords></allowwords>
|
|
|
783 |
<forbidfloat>1</forbidfloat>
|
|
|
784 |
<requirelowestterms>0</requirelowestterms>
|
|
|
785 |
<checkanswertype>0</checkanswertype>
|
|
|
786 |
<mustverify>1</mustverify>
|
|
|
787 |
<showvalidation>1</showvalidation>
|
|
|
788 |
<options></options>
|
|
|
789 |
</input>
|
|
|
790 |
<prt>
|
|
|
791 |
<name>prt1</name>
|
|
|
792 |
<value>1.0000000</value>
|
|
|
793 |
<autosimplify>1</autosimplify>
|
|
|
794 |
<feedbackvariables>
|
|
|
795 |
<text></text>
|
|
|
796 |
</feedbackvariables>
|
|
|
797 |
<node>
|
|
|
798 |
<name>0</name>
|
|
|
799 |
<answertest>AlgEquiv</answertest>
|
|
|
800 |
<sans>ans1</sans>
|
|
|
801 |
<tans>true</tans>
|
|
|
802 |
<testoptions></testoptions>
|
|
|
803 |
<quiet>0</quiet>
|
|
|
804 |
<truescoremode>=</truescoremode>
|
|
|
805 |
<truescore>1.0000000</truescore>
|
|
|
806 |
<truepenalty></truepenalty>
|
|
|
807 |
<truenextnode>-1</truenextnode>
|
|
|
808 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
809 |
<truefeedback format="html">
|
|
|
810 |
<text></text>
|
|
|
811 |
</truefeedback>
|
|
|
812 |
<falsescoremode>=</falsescoremode>
|
|
|
813 |
<falsescore>0.0000000</falsescore>
|
|
|
814 |
<falsepenalty></falsepenalty>
|
|
|
815 |
<falsenextnode>-1</falsenextnode>
|
|
|
816 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
817 |
<falsefeedback format="html">
|
|
|
818 |
<text></text>
|
|
|
819 |
</falsefeedback>
|
|
|
820 |
</node>
|
|
|
821 |
</prt>
|
|
|
822 |
</question>
|
|
|
823 |
|
|
|
824 |
<!-- question: 8 -->
|
|
|
825 |
<question type="stack">
|
|
|
826 |
<name>
|
|
|
827 |
<text>Radio</text>
|
|
|
828 |
</name>
|
|
|
829 |
<questiontext format="html">
|
|
|
830 |
<text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
831 |
</questiontext>
|
|
|
832 |
<generalfeedback format="html">
|
|
|
833 |
<text></text>
|
|
|
834 |
</generalfeedback>
|
|
|
835 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
836 |
<penalty>0.1000000</penalty>
|
|
|
837 |
<hidden>0</hidden>
|
|
|
838 |
<questionvariables>
|
|
|
839 |
<text><![CDATA[/* Create a list of potential answers. */
|
|
|
840 |
p:sin(2*x);
|
|
|
841 |
ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
|
|
|
842 |
/* The actual correct answer. */
|
|
|
843 |
tac:diff(p,x)
|
|
|
844 |
/* Add in a "None of these" to the end of the list. The Maxima value is the atom null. */
|
|
|
845 |
tao:[null, false, "None of these"];
|
|
|
846 |
ta:append(ta,[tao]);]]></text>
|
|
|
847 |
</questionvariables>
|
|
|
848 |
<specificfeedback format="html">
|
|
|
849 |
<text>[[feedback:prt1]]</text>
|
|
|
850 |
</specificfeedback>
|
|
|
851 |
<questionnote>
|
|
|
852 |
<text></text>
|
|
|
853 |
</questionnote>
|
|
|
854 |
<questionsimplify>1</questionsimplify>
|
|
|
855 |
<assumepositive>0</assumepositive>
|
|
|
856 |
<assumereal>0</assumereal>
|
|
|
857 |
<prtcorrect format="html">
|
|
|
858 |
<text>Correct answer, well done.</text>
|
|
|
859 |
</prtcorrect>
|
|
|
860 |
<prtpartiallycorrect format="html">
|
|
|
861 |
<text>Your answer is partially correct.</text>
|
|
|
862 |
</prtpartiallycorrect>
|
|
|
863 |
<prtincorrect format="html">
|
|
|
864 |
<text>Incorrect answer.</text>
|
|
|
865 |
</prtincorrect>
|
|
|
866 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
867 |
<sqrtsign>1</sqrtsign>
|
|
|
868 |
<complexno>i</complexno>
|
|
|
869 |
<inversetrig>cos-1</inversetrig>
|
|
|
870 |
<matrixparens>[</matrixparens>
|
|
|
871 |
<variantsselectionseed></variantsselectionseed>
|
|
|
872 |
<input>
|
|
|
873 |
<name>ans1</name>
|
|
|
874 |
<type>radio</type>
|
|
|
875 |
<tans>ta</tans>
|
|
|
876 |
<boxsize>15</boxsize>
|
|
|
877 |
<strictsyntax>1</strictsyntax>
|
|
|
878 |
<insertstars>0</insertstars>
|
|
|
879 |
<syntaxhint></syntaxhint>
|
|
|
880 |
<syntaxattribute>0</syntaxattribute>
|
|
|
881 |
<forbidwords></forbidwords>
|
|
|
882 |
<allowwords></allowwords>
|
|
|
883 |
<forbidfloat>1</forbidfloat>
|
|
|
884 |
<requirelowestterms>0</requirelowestterms>
|
|
|
885 |
<checkanswertype>0</checkanswertype>
|
|
|
886 |
<mustverify>1</mustverify>
|
|
|
887 |
<showvalidation>1</showvalidation>
|
|
|
888 |
<options></options>
|
|
|
889 |
</input>
|
|
|
890 |
<prt>
|
|
|
891 |
<name>prt1</name>
|
|
|
892 |
<value>1.0000000</value>
|
|
|
893 |
<autosimplify>1</autosimplify>
|
|
|
894 |
<feedbackvariables>
|
|
|
895 |
<text></text>
|
|
|
896 |
</feedbackvariables>
|
|
|
897 |
<node>
|
|
|
898 |
<name>0</name>
|
|
|
899 |
<answertest>Diff</answertest>
|
|
|
900 |
<sans>first(ans1)</sans>
|
|
|
901 |
<tans>diff(p,x)</tans>
|
|
|
902 |
<testoptions>x</testoptions>
|
|
|
903 |
<quiet>0</quiet>
|
|
|
904 |
<truescoremode>=</truescoremode>
|
|
|
905 |
<truescore>1.0000000</truescore>
|
|
|
906 |
<truepenalty></truepenalty>
|
|
|
907 |
<truenextnode>-1</truenextnode>
|
|
|
908 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
909 |
<truefeedback format="html">
|
|
|
910 |
<text></text>
|
|
|
911 |
</truefeedback>
|
|
|
912 |
<falsescoremode>=</falsescoremode>
|
|
|
913 |
<falsescore>0.0000000</falsescore>
|
|
|
914 |
<falsepenalty></falsepenalty>
|
|
|
915 |
<falsenextnode>-1</falsenextnode>
|
|
|
916 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
917 |
<falsefeedback format="html">
|
|
|
918 |
<text></text>
|
|
|
919 |
</falsefeedback>
|
|
|
920 |
</node>
|
|
|
921 |
</prt>
|
|
|
922 |
</question>
|
|
|
923 |
|
|
|
924 |
<!-- question: 9 -->
|
|
|
925 |
<question type="stack">
|
|
|
926 |
<name>
|
|
|
927 |
<text>Single char</text>
|
|
|
928 |
</name>
|
|
|
929 |
<questiontext format="html">
|
|
|
930 |
<text><![CDATA[<p>Type in \(x\)<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
931 |
</questiontext>
|
|
|
932 |
<generalfeedback format="html">
|
|
|
933 |
<text></text>
|
|
|
934 |
</generalfeedback>
|
|
|
935 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
936 |
<penalty>0.1000000</penalty>
|
|
|
937 |
<hidden>0</hidden>
|
|
|
938 |
<questionvariables>
|
|
|
939 |
<text></text>
|
|
|
940 |
</questionvariables>
|
|
|
941 |
<specificfeedback format="html">
|
|
|
942 |
<text>[[feedback:prt1]]</text>
|
|
|
943 |
</specificfeedback>
|
|
|
944 |
<questionnote>
|
|
|
945 |
<text></text>
|
|
|
946 |
</questionnote>
|
|
|
947 |
<questionsimplify>1</questionsimplify>
|
|
|
948 |
<assumepositive>0</assumepositive>
|
|
|
949 |
<assumereal>0</assumereal>
|
|
|
950 |
<prtcorrect format="html">
|
|
|
951 |
<text>Correct answer, well done.</text>
|
|
|
952 |
</prtcorrect>
|
|
|
953 |
<prtpartiallycorrect format="html">
|
|
|
954 |
<text>Your answer is partially correct.</text>
|
|
|
955 |
</prtpartiallycorrect>
|
|
|
956 |
<prtincorrect format="html">
|
|
|
957 |
<text>Incorrect answer.</text>
|
|
|
958 |
</prtincorrect>
|
|
|
959 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
960 |
<sqrtsign>1</sqrtsign>
|
|
|
961 |
<complexno>i</complexno>
|
|
|
962 |
<inversetrig>cos-1</inversetrig>
|
|
|
963 |
<matrixparens>[</matrixparens>
|
|
|
964 |
<variantsselectionseed></variantsselectionseed>
|
|
|
965 |
<input>
|
|
|
966 |
<name>ans1</name>
|
|
|
967 |
<type>singlechar</type>
|
|
|
968 |
<tans>x</tans>
|
|
|
969 |
<boxsize>15</boxsize>
|
|
|
970 |
<strictsyntax>1</strictsyntax>
|
|
|
971 |
<insertstars>0</insertstars>
|
|
|
972 |
<syntaxhint></syntaxhint>
|
|
|
973 |
<syntaxattribute>0</syntaxattribute>
|
|
|
974 |
<forbidwords></forbidwords>
|
|
|
975 |
<allowwords></allowwords>
|
|
|
976 |
<forbidfloat>1</forbidfloat>
|
|
|
977 |
<requirelowestterms>0</requirelowestterms>
|
|
|
978 |
<checkanswertype>0</checkanswertype>
|
|
|
979 |
<mustverify>1</mustverify>
|
|
|
980 |
<showvalidation>1</showvalidation>
|
|
|
981 |
<options></options>
|
|
|
982 |
</input>
|
|
|
983 |
<prt>
|
|
|
984 |
<name>prt1</name>
|
|
|
985 |
<value>1.0000000</value>
|
|
|
986 |
<autosimplify>1</autosimplify>
|
|
|
987 |
<feedbackvariables>
|
|
|
988 |
<text></text>
|
|
|
989 |
</feedbackvariables>
|
|
|
990 |
<node>
|
|
|
991 |
<name>0</name>
|
|
|
992 |
<answertest>AlgEquiv</answertest>
|
|
|
993 |
<sans>ans1</sans>
|
|
|
994 |
<tans>x</tans>
|
|
|
995 |
<testoptions></testoptions>
|
|
|
996 |
<quiet>0</quiet>
|
|
|
997 |
<truescoremode>=</truescoremode>
|
|
|
998 |
<truescore>1.0000000</truescore>
|
|
|
999 |
<truepenalty></truepenalty>
|
|
|
1000 |
<truenextnode>-1</truenextnode>
|
|
|
1001 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
1002 |
<truefeedback format="html">
|
|
|
1003 |
<text></text>
|
|
|
1004 |
</truefeedback>
|
|
|
1005 |
<falsescoremode>=</falsescoremode>
|
|
|
1006 |
<falsescore>0.0000000</falsescore>
|
|
|
1007 |
<falsepenalty></falsepenalty>
|
|
|
1008 |
<falsenextnode>-1</falsenextnode>
|
|
|
1009 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
1010 |
<falsefeedback format="html">
|
|
|
1011 |
<text></text>
|
|
|
1012 |
</falsefeedback>
|
|
|
1013 |
</node>
|
|
|
1014 |
</prt>
|
|
|
1015 |
</question>
|
|
|
1016 |
|
|
|
1017 |
<!-- question: 0 -->
|
|
|
1018 |
<question type="category">
|
|
|
1019 |
<category>
|
|
|
1020 |
<text>$course$/Default for Scratch</text>
|
|
|
1021 |
|
|
|
1022 |
</category>
|
|
|
1023 |
</question>
|
|
|
1024 |
|
|
|
1025 |
<!-- question: 13 -->
|
|
|
1026 |
<question type="stack">
|
|
|
1027 |
<name>
|
|
|
1028 |
<text>test_1_integration</text>
|
|
|
1029 |
</name>
|
|
|
1030 |
<questiontext format="html">
|
|
|
1031 |
<text><![CDATA[<p>Find \[ \int {@p@} d{@v@}\] [[input:ans1]] [[validation:ans1]]</p>]]></text>
|
|
|
1032 |
</questiontext>
|
|
|
1033 |
<generalfeedback format="html">
|
|
|
1034 |
<text><![CDATA[<p>We can either do this question by inspection (i.e. spot the answer) or in a more formal manner by using the substitution \[ u = ({@v@}-{@a@}).\] Then, since \(\frac{d}{d{@v@}}u=1\) we have \[ \int {@p@} d{@v@} = \int u^{@n@} du = \frac{u^{@n+1@}}{@n+1@}+c = {@ta@}+c.\]</p>]]></text>
|
|
|
1035 |
</generalfeedback>
|
|
|
1036 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
1037 |
<penalty>0.1000000</penalty>
|
|
|
1038 |
<hidden>0</hidden>
|
|
|
1039 |
<questionvariables>
|
|
|
1040 |
<text>n:rand(5)+3;
|
|
|
1041 |
a:rand(5)+3;
|
|
|
1042 |
v:rand([x,t]);
|
|
|
1043 |
p:(v-a)^n;
|
|
|
1044 |
ta:(v-a)^(n+1)/(n+1);</text>
|
|
|
1045 |
</questionvariables>
|
|
|
1046 |
<specificfeedback format="html">
|
|
|
1047 |
<text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
|
|
|
1048 |
</specificfeedback>
|
|
|
1049 |
<questionnote>
|
|
|
1050 |
<text>\(\int {@p@} d{@v@} = {@ta@}\)</text>
|
|
|
1051 |
</questionnote>
|
|
|
1052 |
<questionsimplify>1</questionsimplify>
|
|
|
1053 |
<assumepositive>0</assumepositive>
|
|
|
1054 |
<assumereal>0</assumereal>
|
|
|
1055 |
<prtcorrect format="html">
|
|
|
1056 |
<text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
|
|
|
1057 |
</prtcorrect>
|
|
|
1058 |
<prtpartiallycorrect format="html">
|
|
|
1059 |
<text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
|
|
|
1060 |
</prtpartiallycorrect>
|
|
|
1061 |
<prtincorrect format="html">
|
|
|
1062 |
<text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
|
|
|
1063 |
</prtincorrect>
|
|
|
1064 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
1065 |
<sqrtsign>1</sqrtsign>
|
|
|
1066 |
<complexno>i</complexno>
|
|
|
1067 |
<inversetrig>cos-1</inversetrig>
|
|
|
1068 |
<matrixparens>[</matrixparens>
|
|
|
1069 |
<variantsselectionseed></variantsselectionseed>
|
|
|
1070 |
<input>
|
|
|
1071 |
<name>ans1</name>
|
|
|
1072 |
<type>algebraic</type>
|
|
|
1073 |
<tans>ta+c</tans>
|
|
|
1074 |
<boxsize>20</boxsize>
|
|
|
1075 |
<strictsyntax>1</strictsyntax>
|
|
|
1076 |
<insertstars>0</insertstars>
|
|
|
1077 |
<syntaxhint></syntaxhint>
|
|
|
1078 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1079 |
<forbidwords>int</forbidwords>
|
|
|
1080 |
<allowwords></allowwords>
|
|
|
1081 |
<forbidfloat>1</forbidfloat>
|
|
|
1082 |
<requirelowestterms>1</requirelowestterms>
|
|
|
1083 |
<checkanswertype>1</checkanswertype>
|
|
|
1084 |
<mustverify>1</mustverify>
|
|
|
1085 |
<showvalidation>1</showvalidation>
|
|
|
1086 |
<options></options>
|
|
|
1087 |
</input>
|
|
|
1088 |
<prt>
|
|
|
1089 |
<name>prt1</name>
|
|
|
1090 |
<value>1.0000000</value>
|
|
|
1091 |
<autosimplify>1</autosimplify>
|
|
|
1092 |
<feedbackvariables>
|
|
|
1093 |
<text></text>
|
|
|
1094 |
</feedbackvariables>
|
|
|
1095 |
<node>
|
|
|
1096 |
<name>0</name>
|
|
|
1097 |
<answertest>Int</answertest>
|
|
|
1098 |
<sans>ans1</sans>
|
|
|
1099 |
<tans>ta</tans>
|
|
|
1100 |
<testoptions>v</testoptions>
|
|
|
1101 |
<quiet>0</quiet>
|
|
|
1102 |
<truescoremode>=</truescoremode>
|
|
|
1103 |
<truescore>1.0000000</truescore>
|
|
|
1104 |
<truepenalty></truepenalty>
|
|
|
1105 |
<truenextnode>-1</truenextnode>
|
|
|
1106 |
<trueanswernote>1-0-T </trueanswernote>
|
|
|
1107 |
<truefeedback format="html">
|
|
|
1108 |
<text></text>
|
|
|
1109 |
</truefeedback>
|
|
|
1110 |
<falsescoremode>=</falsescoremode>
|
|
|
1111 |
<falsescore>0.0000000</falsescore>
|
|
|
1112 |
<falsepenalty></falsepenalty>
|
|
|
1113 |
<falsenextnode>-1</falsenextnode>
|
|
|
1114 |
<falseanswernote>1-0-F </falseanswernote>
|
|
|
1115 |
<falsefeedback format="html">
|
|
|
1116 |
<text></text>
|
|
|
1117 |
</falsefeedback>
|
|
|
1118 |
</node>
|
|
|
1119 |
</prt>
|
|
|
1120 |
<deployedseed>1</deployedseed>
|
|
|
1121 |
<deployedseed>1001758021</deployedseed>
|
|
|
1122 |
<qtest>
|
|
|
1123 |
<testcase>1</testcase>
|
|
|
1124 |
<testinput>
|
|
|
1125 |
<name>ans1</name>
|
|
|
1126 |
<value>ta+c</value>
|
|
|
1127 |
</testinput>
|
|
|
1128 |
<expected>
|
|
|
1129 |
<name>prt1</name>
|
|
|
1130 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1131 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1132 |
<expectedanswernote>1-0-T</expectedanswernote>
|
|
|
1133 |
</expected>
|
|
|
1134 |
</qtest>
|
|
|
1135 |
<qtest>
|
|
|
1136 |
<testcase>2</testcase>
|
|
|
1137 |
<testinput>
|
|
|
1138 |
<name>ans1</name>
|
|
|
1139 |
<value>ta</value>
|
|
|
1140 |
</testinput>
|
|
|
1141 |
<expected>
|
|
|
1142 |
<name>prt1</name>
|
|
|
1143 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1144 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1145 |
<expectedanswernote>1-0-F</expectedanswernote>
|
|
|
1146 |
</expected>
|
|
|
1147 |
</qtest>
|
|
|
1148 |
<qtest>
|
|
|
1149 |
<testcase>3</testcase>
|
|
|
1150 |
<testinput>
|
|
|
1151 |
<name>ans1</name>
|
|
|
1152 |
<value>n*(v-a)^(n-1)</value>
|
|
|
1153 |
</testinput>
|
|
|
1154 |
<expected>
|
|
|
1155 |
<name>prt1</name>
|
|
|
1156 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1157 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1158 |
<expectedanswernote>1-0-F</expectedanswernote>
|
|
|
1159 |
</expected>
|
|
|
1160 |
</qtest>
|
|
|
1161 |
<qtest>
|
|
|
1162 |
<testcase>4</testcase>
|
|
|
1163 |
<testinput>
|
|
|
1164 |
<name>ans1</name>
|
|
|
1165 |
<value>(v-a)^(n+1)</value>
|
|
|
1166 |
</testinput>
|
|
|
1167 |
<expected>
|
|
|
1168 |
<name>prt1</name>
|
|
|
1169 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1170 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1171 |
<expectedanswernote>1-0-F</expectedanswernote>
|
|
|
1172 |
</expected>
|
|
|
1173 |
</qtest>
|
|
|
1174 |
</question>
|
|
|
1175 |
|
|
|
1176 |
<!-- question: 14 -->
|
|
|
1177 |
<question type="stack">
|
|
|
1178 |
<name>
|
|
|
1179 |
<text>test_2_rectangle</text>
|
|
|
1180 |
</name>
|
|
|
1181 |
<questiontext format="html">
|
|
|
1182 |
<text><![CDATA[<p>A rectangle has length {@sg@}cm greater than its width. If it has an area of \({@abs(ar)@}cm^2\), find the dimensions of the rectangle.</p>
|
|
|
1183 |
<p>1. Write down an equation which relates the side lengths to the area of the rectangle. <br />[[input:ans1]] [[validation:ans1]] [[feedback:eq]]</p>
|
|
|
1184 |
<p>2. Solve your equation. Enter your answer as a set of numbers. <br /> [[input:ans2]] [[validation:ans2]] [[feedback:sol]]</p>
|
|
|
1185 |
<p>3. Hence, find the length of the shorter side. <br />[[input:ans3]] cm [[validation:ans3]] [[feedback:short]]</p>]]></text>
|
|
|
1186 |
</questiontext>
|
|
|
1187 |
<generalfeedback format="html">
|
|
|
1188 |
<text><![CDATA[<p>If \(x\)cm is the width then \((x+{@sg@})\) is the length. Now the area is \({@abs(ar)@}cm^2\) and so \[ {@x*(x+sg)=-ar@}.\] \[ {@x^2+sg*x+ar@}=0\] \[ {@(x+rp)*(x+rn)=0@} \] So that \(x={@-rp@}\) or \(x={@-rn@}\). Since lengths are positive quantities \(x>0\) and we discard the negative root. Hence the length of the shorter side is \(x={@-rn@}\)cm.</p>]]></text>
|
|
|
1189 |
</generalfeedback>
|
|
|
1190 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
1191 |
<penalty>0.1000000</penalty>
|
|
|
1192 |
<hidden>0</hidden>
|
|
|
1193 |
<questionvariables>
|
|
|
1194 |
<text>rn:-1*(rand(4)+2);
|
|
|
1195 |
rp:9+rand(6);
|
|
|
1196 |
ar:rn*rp;
|
|
|
1197 |
sg:rn+rp;
|
|
|
1198 |
ta1:x*(x+sg)=-ar;
|
|
|
1199 |
ta2:x*(x-sg)=-ar;
|
|
|
1200 |
tas1:setify(map(rhs,solve(ta1,x)));
|
|
|
1201 |
tas2:setify(map(rhs,solve(ta2,x)));</text>
|
|
|
1202 |
</questionvariables>
|
|
|
1203 |
<specificfeedback format="html">
|
|
|
1204 |
<text></text>
|
|
|
1205 |
</specificfeedback>
|
|
|
1206 |
<questionnote>
|
|
|
1207 |
<text>{@ta1@}, {@tas1@}.</text>
|
|
|
1208 |
</questionnote>
|
|
|
1209 |
<questionsimplify>1</questionsimplify>
|
|
|
1210 |
<assumepositive>0</assumepositive>
|
|
|
1211 |
<assumereal>0</assumereal>
|
|
|
1212 |
<prtcorrect format="html">
|
|
|
1213 |
<text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
|
|
|
1214 |
</prtcorrect>
|
|
|
1215 |
<prtpartiallycorrect format="html">
|
|
|
1216 |
<text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
|
|
|
1217 |
</prtpartiallycorrect>
|
|
|
1218 |
<prtincorrect format="html">
|
|
|
1219 |
<text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
|
|
|
1220 |
</prtincorrect>
|
|
|
1221 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
1222 |
<sqrtsign>1</sqrtsign>
|
|
|
1223 |
<complexno>i</complexno>
|
|
|
1224 |
<inversetrig>cos-1</inversetrig>
|
|
|
1225 |
<matrixparens>[</matrixparens>
|
|
|
1226 |
<variantsselectionseed></variantsselectionseed>
|
|
|
1227 |
<input>
|
|
|
1228 |
<name>ans1</name>
|
|
|
1229 |
<type>algebraic</type>
|
|
|
1230 |
<tans>ta1</tans>
|
|
|
1231 |
<boxsize>15</boxsize>
|
|
|
1232 |
<strictsyntax>1</strictsyntax>
|
|
|
1233 |
<insertstars>1</insertstars>
|
|
|
1234 |
<syntaxhint></syntaxhint>
|
|
|
1235 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1236 |
<forbidwords></forbidwords>
|
|
|
1237 |
<allowwords></allowwords>
|
|
|
1238 |
<forbidfloat>1</forbidfloat>
|
|
|
1239 |
<requirelowestterms>1</requirelowestterms>
|
|
|
1240 |
<checkanswertype>1</checkanswertype>
|
|
|
1241 |
<mustverify>1</mustverify>
|
|
|
1242 |
<showvalidation>1</showvalidation>
|
|
|
1243 |
<options></options>
|
|
|
1244 |
</input>
|
|
|
1245 |
<input>
|
|
|
1246 |
<name>ans2</name>
|
|
|
1247 |
<type>algebraic</type>
|
|
|
1248 |
<tans>tas1</tans>
|
|
|
1249 |
<boxsize>15</boxsize>
|
|
|
1250 |
<strictsyntax>1</strictsyntax>
|
|
|
1251 |
<insertstars>1</insertstars>
|
|
|
1252 |
<syntaxhint></syntaxhint>
|
|
|
1253 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1254 |
<forbidwords></forbidwords>
|
|
|
1255 |
<allowwords></allowwords>
|
|
|
1256 |
<forbidfloat>1</forbidfloat>
|
|
|
1257 |
<requirelowestterms>1</requirelowestterms>
|
|
|
1258 |
<checkanswertype>1</checkanswertype>
|
|
|
1259 |
<mustverify>1</mustverify>
|
|
|
1260 |
<showvalidation>1</showvalidation>
|
|
|
1261 |
<options></options>
|
|
|
1262 |
</input>
|
|
|
1263 |
<input>
|
|
|
1264 |
<name>ans3</name>
|
|
|
1265 |
<type>algebraic</type>
|
|
|
1266 |
<tans>rp</tans>
|
|
|
1267 |
<boxsize>5</boxsize>
|
|
|
1268 |
<strictsyntax>1</strictsyntax>
|
|
|
1269 |
<insertstars>1</insertstars>
|
|
|
1270 |
<syntaxhint></syntaxhint>
|
|
|
1271 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1272 |
<forbidwords></forbidwords>
|
|
|
1273 |
<allowwords></allowwords>
|
|
|
1274 |
<forbidfloat>1</forbidfloat>
|
|
|
1275 |
<requirelowestterms>1</requirelowestterms>
|
|
|
1276 |
<checkanswertype>1</checkanswertype>
|
|
|
1277 |
<mustverify>1</mustverify>
|
|
|
1278 |
<showvalidation>1</showvalidation>
|
|
|
1279 |
<options></options>
|
|
|
1280 |
</input>
|
|
|
1281 |
<prt>
|
|
|
1282 |
<name>eq</name>
|
|
|
1283 |
<value>1.0000000</value>
|
|
|
1284 |
<autosimplify>1</autosimplify>
|
|
|
1285 |
<feedbackvariables>
|
|
|
1286 |
<text></text>
|
|
|
1287 |
</feedbackvariables>
|
|
|
1288 |
<node>
|
|
|
1289 |
<name>0</name>
|
|
|
1290 |
<answertest>SubstEquiv</answertest>
|
|
|
1291 |
<sans>ans1</sans>
|
|
|
1292 |
<tans>ta1</tans>
|
|
|
1293 |
<testoptions></testoptions>
|
|
|
1294 |
<quiet>1</quiet>
|
|
|
1295 |
<truescoremode>=</truescoremode>
|
|
|
1296 |
<truescore>1.0000000</truescore>
|
|
|
1297 |
<truepenalty></truepenalty>
|
|
|
1298 |
<truenextnode>-1</truenextnode>
|
|
|
1299 |
<trueanswernote>eq-0-T </trueanswernote>
|
|
|
1300 |
<truefeedback format="html">
|
|
|
1301 |
<text></text>
|
|
|
1302 |
</truefeedback>
|
|
|
1303 |
<falsescoremode>=</falsescoremode>
|
|
|
1304 |
<falsescore>0.0000000</falsescore>
|
|
|
1305 |
<falsepenalty></falsepenalty>
|
|
|
1306 |
<falsenextnode>1</falsenextnode>
|
|
|
1307 |
<falseanswernote>eq-0-F </falseanswernote>
|
|
|
1308 |
<falsefeedback format="html">
|
|
|
1309 |
<text></text>
|
|
|
1310 |
</falsefeedback>
|
|
|
1311 |
</node>
|
|
|
1312 |
<node>
|
|
|
1313 |
<name>1</name>
|
|
|
1314 |
<answertest>SubstEquiv</answertest>
|
|
|
1315 |
<sans>ans1</sans>
|
|
|
1316 |
<tans>ta2</tans>
|
|
|
1317 |
<testoptions></testoptions>
|
|
|
1318 |
<quiet>1</quiet>
|
|
|
1319 |
<truescoremode>=</truescoremode>
|
|
|
1320 |
<truescore>1.0000000</truescore>
|
|
|
1321 |
<truepenalty></truepenalty>
|
|
|
1322 |
<truenextnode>-1</truenextnode>
|
|
|
1323 |
<trueanswernote>eq-1-T </trueanswernote>
|
|
|
1324 |
<truefeedback format="html">
|
|
|
1325 |
<text></text>
|
|
|
1326 |
</truefeedback>
|
|
|
1327 |
<falsescoremode>=</falsescoremode>
|
|
|
1328 |
<falsescore>0.0000000</falsescore>
|
|
|
1329 |
<falsepenalty></falsepenalty>
|
|
|
1330 |
<falsenextnode>-1</falsenextnode>
|
|
|
1331 |
<falseanswernote>eq-1-F </falseanswernote>
|
|
|
1332 |
<falsefeedback format="html">
|
|
|
1333 |
<text></text>
|
|
|
1334 |
</falsefeedback>
|
|
|
1335 |
</node>
|
|
|
1336 |
</prt>
|
|
|
1337 |
<prt>
|
|
|
1338 |
<name>short</name>
|
|
|
1339 |
<value>1.0000000</value>
|
|
|
1340 |
<autosimplify>1</autosimplify>
|
|
|
1341 |
<feedbackvariables>
|
|
|
1342 |
<text></text>
|
|
|
1343 |
</feedbackvariables>
|
|
|
1344 |
<node>
|
|
|
1345 |
<name>0</name>
|
|
|
1346 |
<answertest>AlgEquiv</answertest>
|
|
|
1347 |
<sans>ans3</sans>
|
|
|
1348 |
<tans>-rn</tans>
|
|
|
1349 |
<testoptions></testoptions>
|
|
|
1350 |
<quiet>0</quiet>
|
|
|
1351 |
<truescoremode>=</truescoremode>
|
|
|
1352 |
<truescore>1.0000000</truescore>
|
|
|
1353 |
<truepenalty></truepenalty>
|
|
|
1354 |
<truenextnode>-1</truenextnode>
|
|
|
1355 |
<trueanswernote>short-0-T </trueanswernote>
|
|
|
1356 |
<truefeedback format="html">
|
|
|
1357 |
<text></text>
|
|
|
1358 |
</truefeedback>
|
|
|
1359 |
<falsescoremode>=</falsescoremode>
|
|
|
1360 |
<falsescore>0.0000000</falsescore>
|
|
|
1361 |
<falsepenalty></falsepenalty>
|
|
|
1362 |
<falsenextnode>-1</falsenextnode>
|
|
|
1363 |
<falseanswernote>short-0-F </falseanswernote>
|
|
|
1364 |
<falsefeedback format="html">
|
|
|
1365 |
<text></text>
|
|
|
1366 |
</falsefeedback>
|
|
|
1367 |
</node>
|
|
|
1368 |
</prt>
|
|
|
1369 |
<prt>
|
|
|
1370 |
<name>sol</name>
|
|
|
1371 |
<value>1.0000000</value>
|
|
|
1372 |
<autosimplify>1</autosimplify>
|
|
|
1373 |
<feedbackvariables>
|
|
|
1374 |
<text>v1:first(listofvars(ans1));
|
|
|
1375 |
ftm:setify(map(rhs,solve(ans1,v1)));</text>
|
|
|
1376 |
</feedbackvariables>
|
|
|
1377 |
<node>
|
|
|
1378 |
<name>0</name>
|
|
|
1379 |
<answertest>SubstEquiv</answertest>
|
|
|
1380 |
<sans>ans1</sans>
|
|
|
1381 |
<tans>ta1</tans>
|
|
|
1382 |
<testoptions></testoptions>
|
|
|
1383 |
<quiet>1</quiet>
|
|
|
1384 |
<truescoremode>=</truescoremode>
|
|
|
1385 |
<truescore>1.0000000</truescore>
|
|
|
1386 |
<truepenalty></truepenalty>
|
|
|
1387 |
<truenextnode>3</truenextnode>
|
|
|
1388 |
<trueanswernote>sol-0-T </trueanswernote>
|
|
|
1389 |
<truefeedback format="html">
|
|
|
1390 |
<text></text>
|
|
|
1391 |
</truefeedback>
|
|
|
1392 |
<falsescoremode>=</falsescoremode>
|
|
|
1393 |
<falsescore>0.0000000</falsescore>
|
|
|
1394 |
<falsepenalty></falsepenalty>
|
|
|
1395 |
<falsenextnode>1</falsenextnode>
|
|
|
1396 |
<falseanswernote>sol-0-F </falseanswernote>
|
|
|
1397 |
<falsefeedback format="html">
|
|
|
1398 |
<text></text>
|
|
|
1399 |
</falsefeedback>
|
|
|
1400 |
</node>
|
|
|
1401 |
<node>
|
|
|
1402 |
<name>1</name>
|
|
|
1403 |
<answertest>SubstEquiv</answertest>
|
|
|
1404 |
<sans>ans1</sans>
|
|
|
1405 |
<tans>ta2</tans>
|
|
|
1406 |
<testoptions></testoptions>
|
|
|
1407 |
<quiet>1</quiet>
|
|
|
1408 |
<truescoremode>=</truescoremode>
|
|
|
1409 |
<truescore>1.0000000</truescore>
|
|
|
1410 |
<truepenalty></truepenalty>
|
|
|
1411 |
<truenextnode>4</truenextnode>
|
|
|
1412 |
<trueanswernote>sol-1-T </trueanswernote>
|
|
|
1413 |
<truefeedback format="html">
|
|
|
1414 |
<text></text>
|
|
|
1415 |
</truefeedback>
|
|
|
1416 |
<falsescoremode>=</falsescoremode>
|
|
|
1417 |
<falsescore>0.0000000</falsescore>
|
|
|
1418 |
<falsepenalty></falsepenalty>
|
|
|
1419 |
<falsenextnode>2</falsenextnode>
|
|
|
1420 |
<falseanswernote>sol-1-F </falseanswernote>
|
|
|
1421 |
<falsefeedback format="html">
|
|
|
1422 |
<text></text>
|
|
|
1423 |
</falsefeedback>
|
|
|
1424 |
</node>
|
|
|
1425 |
<node>
|
|
|
1426 |
<name>2</name>
|
|
|
1427 |
<answertest>AlgEquiv</answertest>
|
|
|
1428 |
<sans>ans2</sans>
|
|
|
1429 |
<tans>ftm</tans>
|
|
|
1430 |
<testoptions></testoptions>
|
|
|
1431 |
<quiet>0</quiet>
|
|
|
1432 |
<truescoremode>=</truescoremode>
|
|
|
1433 |
<truescore>1.0000000</truescore>
|
|
|
1434 |
<truepenalty></truepenalty>
|
|
|
1435 |
<truenextnode>-1</truenextnode>
|
|
|
1436 |
<trueanswernote>sol-2-T </trueanswernote>
|
|
|
1437 |
<truefeedback format="html">
|
|
|
1438 |
<text><![CDATA[<p>You have correctly solved the equation you have entered in part 1. Please try both parts again!</p>]]></text>
|
|
|
1439 |
</truefeedback>
|
|
|
1440 |
<falsescoremode>=</falsescoremode>
|
|
|
1441 |
<falsescore>0.0000000</falsescore>
|
|
|
1442 |
<falsepenalty></falsepenalty>
|
|
|
1443 |
<falsenextnode>-1</falsenextnode>
|
|
|
1444 |
<falseanswernote>sol-2-F </falseanswernote>
|
|
|
1445 |
<falsefeedback format="html">
|
|
|
1446 |
<text></text>
|
|
|
1447 |
</falsefeedback>
|
|
|
1448 |
</node>
|
|
|
1449 |
<node>
|
|
|
1450 |
<name>3</name>
|
|
|
1451 |
<answertest>AlgEquiv</answertest>
|
|
|
1452 |
<sans>ans2</sans>
|
|
|
1453 |
<tans>tas1</tans>
|
|
|
1454 |
<testoptions></testoptions>
|
|
|
1455 |
<quiet>0</quiet>
|
|
|
1456 |
<truescoremode>=</truescoremode>
|
|
|
1457 |
<truescore>1.0000000</truescore>
|
|
|
1458 |
<truepenalty></truepenalty>
|
|
|
1459 |
<truenextnode>-1</truenextnode>
|
|
|
1460 |
<trueanswernote>sol-3-T </trueanswernote>
|
|
|
1461 |
<truefeedback format="html">
|
|
|
1462 |
<text></text>
|
|
|
1463 |
</truefeedback>
|
|
|
1464 |
<falsescoremode>=</falsescoremode>
|
|
|
1465 |
<falsescore>0.0000000</falsescore>
|
|
|
1466 |
<falsepenalty></falsepenalty>
|
|
|
1467 |
<falsenextnode>-1</falsenextnode>
|
|
|
1468 |
<falseanswernote>sol-3-F </falseanswernote>
|
|
|
1469 |
<falsefeedback format="html">
|
|
|
1470 |
<text></text>
|
|
|
1471 |
</falsefeedback>
|
|
|
1472 |
</node>
|
|
|
1473 |
<node>
|
|
|
1474 |
<name>4</name>
|
|
|
1475 |
<answertest>AlgEquiv</answertest>
|
|
|
1476 |
<sans>ans2</sans>
|
|
|
1477 |
<tans>tas2</tans>
|
|
|
1478 |
<testoptions></testoptions>
|
|
|
1479 |
<quiet>0</quiet>
|
|
|
1480 |
<truescoremode>=</truescoremode>
|
|
|
1481 |
<truescore>1.0000000</truescore>
|
|
|
1482 |
<truepenalty></truepenalty>
|
|
|
1483 |
<truenextnode>-1</truenextnode>
|
|
|
1484 |
<trueanswernote>sol-5-T</trueanswernote>
|
|
|
1485 |
<truefeedback format="html">
|
|
|
1486 |
<text></text>
|
|
|
1487 |
</truefeedback>
|
|
|
1488 |
<falsescoremode>-</falsescoremode>
|
|
|
1489 |
<falsescore>0.0000000</falsescore>
|
|
|
1490 |
<falsepenalty></falsepenalty>
|
|
|
1491 |
<falsenextnode>-1</falsenextnode>
|
|
|
1492 |
<falseanswernote>sol-5-F</falseanswernote>
|
|
|
1493 |
<falsefeedback format="html">
|
|
|
1494 |
<text></text>
|
|
|
1495 |
</falsefeedback>
|
|
|
1496 |
</node>
|
|
|
1497 |
</prt>
|
|
|
1498 |
<deployedseed>92</deployedseed>
|
|
|
1499 |
<deployedseed>1621764605</deployedseed>
|
|
|
1500 |
<deployedseed>79313047</deployedseed>
|
|
|
1501 |
<deployedseed>1740562616</deployedseed>
|
|
|
1502 |
<qtest>
|
|
|
1503 |
<testcase>1</testcase>
|
|
|
1504 |
<testinput>
|
|
|
1505 |
<name>ans1</name>
|
|
|
1506 |
<value>ta1</value>
|
|
|
1507 |
</testinput>
|
|
|
1508 |
<testinput>
|
|
|
1509 |
<name>ans2</name>
|
|
|
1510 |
<value>ev({-rp,-rn},simp)</value>
|
|
|
1511 |
</testinput>
|
|
|
1512 |
<testinput>
|
|
|
1513 |
<name>ans3</name>
|
|
|
1514 |
<value>ev(-rn,simp)</value>
|
|
|
1515 |
</testinput>
|
|
|
1516 |
<expected>
|
|
|
1517 |
<name>eq</name>
|
|
|
1518 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1519 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1520 |
<expectedanswernote>eq-0-T</expectedanswernote>
|
|
|
1521 |
</expected>
|
|
|
1522 |
<expected>
|
|
|
1523 |
<name>short</name>
|
|
|
1524 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1525 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1526 |
<expectedanswernote>short-0-T</expectedanswernote>
|
|
|
1527 |
</expected>
|
|
|
1528 |
<expected>
|
|
|
1529 |
<name>sol</name>
|
|
|
1530 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1531 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1532 |
<expectedanswernote>sol-3-T</expectedanswernote>
|
|
|
1533 |
</expected>
|
|
|
1534 |
</qtest>
|
|
|
1535 |
<qtest>
|
|
|
1536 |
<testcase>2</testcase>
|
|
|
1537 |
<testinput>
|
|
|
1538 |
<name>ans1</name>
|
|
|
1539 |
<value>ta2</value>
|
|
|
1540 |
</testinput>
|
|
|
1541 |
<testinput>
|
|
|
1542 |
<name>ans2</name>
|
|
|
1543 |
<value>ev({rp,rn},simp)</value>
|
|
|
1544 |
</testinput>
|
|
|
1545 |
<testinput>
|
|
|
1546 |
<name>ans3</name>
|
|
|
1547 |
<value>ev(-rn,simp)</value>
|
|
|
1548 |
</testinput>
|
|
|
1549 |
<expected>
|
|
|
1550 |
<name>eq</name>
|
|
|
1551 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1552 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1553 |
<expectedanswernote>eq-1-T</expectedanswernote>
|
|
|
1554 |
</expected>
|
|
|
1555 |
<expected>
|
|
|
1556 |
<name>short</name>
|
|
|
1557 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1558 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1559 |
<expectedanswernote>short-0-T</expectedanswernote>
|
|
|
1560 |
</expected>
|
|
|
1561 |
<expected>
|
|
|
1562 |
<name>sol</name>
|
|
|
1563 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1564 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1565 |
<expectedanswernote>sol-5-T</expectedanswernote>
|
|
|
1566 |
</expected>
|
|
|
1567 |
</qtest>
|
|
|
1568 |
<qtest>
|
|
|
1569 |
<testcase>3</testcase>
|
|
|
1570 |
<testinput>
|
|
|
1571 |
<name>ans1</name>
|
|
|
1572 |
<value>x+sg=-ar</value>
|
|
|
1573 |
</testinput>
|
|
|
1574 |
<testinput>
|
|
|
1575 |
<name>ans2</name>
|
|
|
1576 |
<value>{-ar-sg}</value>
|
|
|
1577 |
</testinput>
|
|
|
1578 |
<testinput>
|
|
|
1579 |
<name>ans3</name>
|
|
|
1580 |
<value></value>
|
|
|
1581 |
</testinput>
|
|
|
1582 |
<expected>
|
|
|
1583 |
<name>eq</name>
|
|
|
1584 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1585 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1586 |
<expectedanswernote>eq-1-F</expectedanswernote>
|
|
|
1587 |
</expected>
|
|
|
1588 |
<expected>
|
|
|
1589 |
<name>short</name>
|
|
|
1590 |
<expectedscore></expectedscore>
|
|
|
1591 |
<expectedpenalty></expectedpenalty>
|
|
|
1592 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
1593 |
</expected>
|
|
|
1594 |
<expected>
|
|
|
1595 |
<name>sol</name>
|
|
|
1596 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1597 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1598 |
<expectedanswernote>sol-2-T</expectedanswernote>
|
|
|
1599 |
</expected>
|
|
|
1600 |
</qtest>
|
|
|
1601 |
</question>
|
|
|
1602 |
|
|
|
1603 |
<!-- question: 15 -->
|
|
|
1604 |
<question type="stack">
|
|
|
1605 |
<name>
|
|
|
1606 |
<text>test_3_matrix</text>
|
|
|
1607 |
</name>
|
|
|
1608 |
<questiontext format="html">
|
|
|
1609 |
<text><![CDATA[<p>Calculate \[ {@A@}.{@B@}\]</p>
|
|
|
1610 |
<p> [[input:ans1]] [[validation:ans1]]</p>]]></text>
|
|
|
1611 |
</questiontext>
|
|
|
1612 |
<generalfeedback format="html">
|
|
|
1613 |
<text><![CDATA[<p>To multiply matrices \(A\) and \(B\) we need to remember that the \((i,j)\)th entry is the scalar product of the \(i\)th row of \(A\) with the \(j\)th column of \(B\).</p>
|
|
|
1614 |
<p>\[ {@A@}.{@B@} = {@C@} = {@D@}.\]</p>]]></text>
|
|
|
1615 |
</generalfeedback>
|
|
|
1616 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
1617 |
<penalty>0.1000000</penalty>
|
|
|
1618 |
<hidden>0</hidden>
|
|
|
1619 |
<questionvariables>
|
|
|
1620 |
<text><![CDATA[A:ev(rand(matrix([5,5],[5,5]))+matrix([2,2],[2,2]),simp);
|
|
|
1621 |
B:ev(rand(matrix([5,5],[5,5]))+matrix([2,2],[2,2]),simp);
|
|
|
1622 |
TA:ev(A.B,simp);
|
|
|
1623 |
TB:ev(A*B,simp);
|
|
|
1624 |
BT:transpose(B);
|
|
|
1625 |
C:zeromatrix (first(matrix_size(A)), second(matrix_size(A)));
|
|
|
1626 |
S:for a:1 thru first(matrix_size(A)) do for b:1 thru second(matrix_size(A)) do C[ev(a,simp),ev(b,simp)]:apply("+",zip_with("*",A[ev(a,simp)],BT[ev(b,simp)]));
|
|
|
1627 |
D:ev(C,simp);
|
|
|
1628 |
C:C;]]></text>
|
|
|
1629 |
</questionvariables>
|
|
|
1630 |
<specificfeedback format="html">
|
|
|
1631 |
<text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
|
|
|
1632 |
</specificfeedback>
|
|
|
1633 |
<questionnote>
|
|
|
1634 |
<text>\({@A@}.{@B@}={@TA@}\)</text>
|
|
|
1635 |
</questionnote>
|
|
|
1636 |
<questionsimplify>0</questionsimplify>
|
|
|
1637 |
<assumepositive>0</assumepositive>
|
|
|
1638 |
<assumereal>0</assumereal>
|
|
|
1639 |
<prtcorrect format="html">
|
|
|
1640 |
<text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
|
|
|
1641 |
</prtcorrect>
|
|
|
1642 |
<prtpartiallycorrect format="html">
|
|
|
1643 |
<text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
|
|
|
1644 |
</prtpartiallycorrect>
|
|
|
1645 |
<prtincorrect format="html">
|
|
|
1646 |
<text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
|
|
|
1647 |
</prtincorrect>
|
|
|
1648 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
1649 |
<sqrtsign>1</sqrtsign>
|
|
|
1650 |
<complexno>i</complexno>
|
|
|
1651 |
<inversetrig>cos-1</inversetrig>
|
|
|
1652 |
<matrixparens>[</matrixparens>
|
|
|
1653 |
<variantsselectionseed></variantsselectionseed>
|
|
|
1654 |
<input>
|
|
|
1655 |
<name>ans1</name>
|
|
|
1656 |
<type>matrix</type>
|
|
|
1657 |
<tans>TA</tans>
|
|
|
1658 |
<boxsize>3</boxsize>
|
|
|
1659 |
<strictsyntax>1</strictsyntax>
|
|
|
1660 |
<insertstars>0</insertstars>
|
|
|
1661 |
<syntaxhint></syntaxhint>
|
|
|
1662 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1663 |
<forbidwords></forbidwords>
|
|
|
1664 |
<allowwords></allowwords>
|
|
|
1665 |
<forbidfloat>1</forbidfloat>
|
|
|
1666 |
<requirelowestterms>1</requirelowestterms>
|
|
|
1667 |
<checkanswertype>1</checkanswertype>
|
|
|
1668 |
<mustverify>1</mustverify>
|
|
|
1669 |
<showvalidation>1</showvalidation>
|
|
|
1670 |
<options></options>
|
|
|
1671 |
</input>
|
|
|
1672 |
<prt>
|
|
|
1673 |
<name>prt1</name>
|
|
|
1674 |
<value>1.0000000</value>
|
|
|
1675 |
<autosimplify>1</autosimplify>
|
|
|
1676 |
<feedbackvariables>
|
|
|
1677 |
<text></text>
|
|
|
1678 |
</feedbackvariables>
|
|
|
1679 |
<node>
|
|
|
1680 |
<name>0</name>
|
|
|
1681 |
<answertest>AlgEquiv</answertest>
|
|
|
1682 |
<sans>ans1</sans>
|
|
|
1683 |
<tans>TA</tans>
|
|
|
1684 |
<testoptions></testoptions>
|
|
|
1685 |
<quiet>1</quiet>
|
|
|
1686 |
<truescoremode>=</truescoremode>
|
|
|
1687 |
<truescore>1.0000000</truescore>
|
|
|
1688 |
<truepenalty></truepenalty>
|
|
|
1689 |
<truenextnode>-1</truenextnode>
|
|
|
1690 |
<trueanswernote>1-0-T </trueanswernote>
|
|
|
1691 |
<truefeedback format="html">
|
|
|
1692 |
<text></text>
|
|
|
1693 |
</truefeedback>
|
|
|
1694 |
<falsescoremode>=</falsescoremode>
|
|
|
1695 |
<falsescore>0.0000000</falsescore>
|
|
|
1696 |
<falsepenalty></falsepenalty>
|
|
|
1697 |
<falsenextnode>1</falsenextnode>
|
|
|
1698 |
<falseanswernote>1-0-F</falseanswernote>
|
|
|
1699 |
<falsefeedback format="html">
|
|
|
1700 |
<text></text>
|
|
|
1701 |
</falsefeedback>
|
|
|
1702 |
</node>
|
|
|
1703 |
<node>
|
|
|
1704 |
<name>1</name>
|
|
|
1705 |
<answertest>AlgEquiv</answertest>
|
|
|
1706 |
<sans>ans1</sans>
|
|
|
1707 |
<tans>TB</tans>
|
|
|
1708 |
<testoptions></testoptions>
|
|
|
1709 |
<quiet>1</quiet>
|
|
|
1710 |
<truescoremode>=</truescoremode>
|
|
|
1711 |
<truescore>0.0000000</truescore>
|
|
|
1712 |
<truepenalty></truepenalty>
|
|
|
1713 |
<truenextnode>-1</truenextnode>
|
|
|
1714 |
<trueanswernote>1-1-T </trueanswernote>
|
|
|
1715 |
<truefeedback format="html">
|
|
|
1716 |
<text><![CDATA[<p>Remember, you don't multiply matrices by multiplying the corresponding entries! A quite different process is needed.</p>]]></text>
|
|
|
1717 |
</truefeedback>
|
|
|
1718 |
<falsescoremode>=</falsescoremode>
|
|
|
1719 |
<falsescore>0.0000000</falsescore>
|
|
|
1720 |
<falsepenalty></falsepenalty>
|
|
|
1721 |
<falsenextnode>2</falsenextnode>
|
|
|
1722 |
<falseanswernote>1-1-F </falseanswernote>
|
|
|
1723 |
<falsefeedback format="html">
|
|
|
1724 |
<text></text>
|
|
|
1725 |
</falsefeedback>
|
|
|
1726 |
</node>
|
|
|
1727 |
<node>
|
|
|
1728 |
<name>2</name>
|
|
|
1729 |
<answertest>AlgEquiv</answertest>
|
|
|
1730 |
<sans>ans1</sans>
|
|
|
1731 |
<tans>A+B</tans>
|
|
|
1732 |
<testoptions></testoptions>
|
|
|
1733 |
<quiet>1</quiet>
|
|
|
1734 |
<truescoremode>=</truescoremode>
|
|
|
1735 |
<truescore>0.0000000</truescore>
|
|
|
1736 |
<truepenalty></truepenalty>
|
|
|
1737 |
<truenextnode>-1</truenextnode>
|
|
|
1738 |
<trueanswernote>1-3-T</trueanswernote>
|
|
|
1739 |
<truefeedback format="html">
|
|
|
1740 |
<text><![CDATA[<p>Please multiply the matrices. It looks like you have added them instead!</p>]]></text>
|
|
|
1741 |
</truefeedback>
|
|
|
1742 |
<falsescoremode>=</falsescoremode>
|
|
|
1743 |
<falsescore>0.0000000</falsescore>
|
|
|
1744 |
<falsepenalty></falsepenalty>
|
|
|
1745 |
<falsenextnode>-1</falsenextnode>
|
|
|
1746 |
<falseanswernote>1-3-F</falseanswernote>
|
|
|
1747 |
<falsefeedback format="html">
|
|
|
1748 |
<text></text>
|
|
|
1749 |
</falsefeedback>
|
|
|
1750 |
</node>
|
|
|
1751 |
</prt>
|
|
|
1752 |
<deployedseed>86</deployedseed>
|
|
|
1753 |
<deployedseed>219862533</deployedseed>
|
|
|
1754 |
<deployedseed>1167893775</deployedseed>
|
|
|
1755 |
<qtest>
|
|
|
1756 |
<testcase>1</testcase>
|
|
|
1757 |
<testinput>
|
|
|
1758 |
<name>ans1</name>
|
|
|
1759 |
<value>TA</value>
|
|
|
1760 |
</testinput>
|
|
|
1761 |
<expected>
|
|
|
1762 |
<name>prt1</name>
|
|
|
1763 |
<expectedscore>1.0000000</expectedscore>
|
|
|
1764 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
1765 |
<expectedanswernote>1-0-T </expectedanswernote>
|
|
|
1766 |
</expected>
|
|
|
1767 |
</qtest>
|
|
|
1768 |
<qtest>
|
|
|
1769 |
<testcase>2</testcase>
|
|
|
1770 |
<testinput>
|
|
|
1771 |
<name>ans1</name>
|
|
|
1772 |
<value>TB</value>
|
|
|
1773 |
</testinput>
|
|
|
1774 |
<expected>
|
|
|
1775 |
<name>prt1</name>
|
|
|
1776 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1777 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1778 |
<expectedanswernote>1-1-T</expectedanswernote>
|
|
|
1779 |
</expected>
|
|
|
1780 |
</qtest>
|
|
|
1781 |
<qtest>
|
|
|
1782 |
<testcase>4</testcase>
|
|
|
1783 |
<testinput>
|
|
|
1784 |
<name>ans1</name>
|
|
|
1785 |
<value>1</value>
|
|
|
1786 |
</testinput>
|
|
|
1787 |
<expected>
|
|
|
1788 |
<name>prt1</name>
|
|
|
1789 |
<expectedscore></expectedscore>
|
|
|
1790 |
<expectedpenalty></expectedpenalty>
|
|
|
1791 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
1792 |
</expected>
|
|
|
1793 |
</qtest>
|
|
|
1794 |
<qtest>
|
|
|
1795 |
<testcase>5</testcase>
|
|
|
1796 |
<testinput>
|
|
|
1797 |
<name>ans1</name>
|
|
|
1798 |
<value>A</value>
|
|
|
1799 |
</testinput>
|
|
|
1800 |
<expected>
|
|
|
1801 |
<name>prt1</name>
|
|
|
1802 |
<expectedscore>0.0000000</expectedscore>
|
|
|
1803 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
1804 |
<expectedanswernote>1-3-F</expectedanswernote>
|
|
|
1805 |
</expected>
|
|
|
1806 |
</qtest>
|
|
|
1807 |
</question>
|
|
|
1808 |
|
|
|
1809 |
<!-- question: 18 -->
|
|
|
1810 |
<question type="stack">
|
|
|
1811 |
<name>
|
|
|
1812 |
<text>test_5_cubic_spline</text>
|
|
|
1813 |
</name>
|
|
|
1814 |
<questiontext format="html">
|
|
|
1815 |
<text><![CDATA[<p>Consider the real function</p>
|
|
|
1816 |
<p>\[ f(x) :=\left\{ \begin{array}{ll} {@f0@} & \mbox{for } x\leq {@x0@}, \\ p(x) & \mbox{for } {@x0@} < x < {@x1@}, \\ {@f1@} & \mbox{for } {@x1@}\leq x.\end{array} \right. \]</p>
|
|
|
1817 |
<p>{@plot(pg,[x,(x0-3),(x1+3)],[y,-3,3])@}</p>
|
|
|
1818 |
<p>Find the cubic polynomial \(p(x)\) which makes \(f(x)\) continuously differentiable. </p>
|
|
|
1819 |
<p>\(p(x)=\)[[input:ans1]]</p>
|
|
|
1820 |
<div>[[validation:ans1]]</div>]]></text>
|
|
|
1821 |
</questiontext>
|
|
|
1822 |
<generalfeedback format="html">
|
|
|
1823 |
<text><![CDATA[<p>First we need to find the information which \(p(x)\) needs to satisfy. This is</p>
|
|
|
1824 |
<p>\[ p({@x0@})={@subst(x=x0,f0)@}.\]</p>
|
|
|
1825 |
<p>\[ p({@x1@})={@subst(x=x1,f1)@}.\]</p>
|
|
|
1826 |
<p>\[ p'({@x0@})={@subst(x=x0,diff(f0,x))@}.\]</p>
|
|
|
1827 |
<p>\[ p'({@x1@})={@subst(x=x1,diff(f1,x))@}.\]</p>
|
|
|
1828 |
<p>If we define \(p(x)\) to be the cubic </p>
|
|
|
1829 |
<p>\[ p(x) = a_3 x^3 + a_2 x^2 + a_1 x + a_0,\]</p>
|
|
|
1830 |
<p>We then set up the matrix equation</p>
|
|
|
1831 |
<p>\[ {@CS@} {@CV@} = {@CT@} \]</p>
|
|
|
1832 |
<p>Solving this gives the coefficients, from which we get the polynomial.</p>
|
|
|
1833 |
<p>{@ta@}.</p>]]></text>
|
|
|
1834 |
</generalfeedback>
|
|
|
1835 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
1836 |
<penalty>0.0000000</penalty>
|
|
|
1837 |
<hidden>0</hidden>
|
|
|
1838 |
<questionvariables>
|
|
|
1839 |
<text><![CDATA[x0 : -1;
|
|
|
1840 |
f0 : 1;
|
|
|
1841 |
x1 : 2;
|
|
|
1842 |
f1 : sin(%pi*x)
|
|
|
1843 |
/* Note, we should really use inf instead of 1000 here, but Maxima gives up plotting with the options used by STACK */
|
|
|
1844 |
pg:if x<x0 then f0 else if x<x1 then 1000 else f1;
|
|
|
1845 |
CS:matrix([1,x0,x0^2,x0^3],[0,1,2*x0,3*x0^2],[1,x1,x1^2,x1^3],[0,1,2*x1,3*x1^2])
|
|
|
1846 |
CT:transpose(matrix([ev(f0,x=x0),subst(x=x0,diff(f0,x)),ev(f1,x=x1),subst(x=x1,diff(f1,x))]));
|
|
|
1847 |
CV:transpose(matrix([a0,a1,a2,a3]));
|
|
|
1848 |
CS2:invert(CS).CT;
|
|
|
1849 |
ta : matrix([1,x,x^2,x^3]).CS2;]]></text>
|
|
|
1850 |
</questionvariables>
|
|
|
1851 |
<specificfeedback format="html">
|
|
|
1852 |
<text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
|
|
|
1853 |
</specificfeedback>
|
|
|
1854 |
<questionnote>
|
|
|
1855 |
<text>{@ta@}</text>
|
|
|
1856 |
</questionnote>
|
|
|
1857 |
<questionsimplify>1</questionsimplify>
|
|
|
1858 |
<assumepositive>0</assumepositive>
|
|
|
1859 |
<assumereal>0</assumereal>
|
|
|
1860 |
<prtcorrect format="html">
|
|
|
1861 |
<text><![CDATA[<p>Correct answer, well done.</p>]]></text>
|
|
|
1862 |
</prtcorrect>
|
|
|
1863 |
<prtpartiallycorrect format="html">
|
|
|
1864 |
<text><![CDATA[<p>Your answer is partially correct.</p>]]></text>
|
|
|
1865 |
</prtpartiallycorrect>
|
|
|
1866 |
<prtincorrect format="html">
|
|
|
1867 |
<text><![CDATA[<p>Incorrect answer.</p>]]></text>
|
|
|
1868 |
</prtincorrect>
|
|
|
1869 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
1870 |
<sqrtsign>1</sqrtsign>
|
|
|
1871 |
<complexno>i</complexno>
|
|
|
1872 |
<inversetrig>cos-1</inversetrig>
|
|
|
1873 |
<matrixparens>[</matrixparens>
|
|
|
1874 |
<variantsselectionseed></variantsselectionseed>
|
|
|
1875 |
<input>
|
|
|
1876 |
<name>ans1</name>
|
|
|
1877 |
<type>algebraic</type>
|
|
|
1878 |
<tans>ta</tans>
|
|
|
1879 |
<boxsize>15</boxsize>
|
|
|
1880 |
<strictsyntax>1</strictsyntax>
|
|
|
1881 |
<insertstars>0</insertstars>
|
|
|
1882 |
<syntaxhint></syntaxhint>
|
|
|
1883 |
<syntaxattribute>0</syntaxattribute>
|
|
|
1884 |
<forbidwords></forbidwords>
|
|
|
1885 |
<allowwords></allowwords>
|
|
|
1886 |
<forbidfloat>1</forbidfloat>
|
|
|
1887 |
<requirelowestterms>0</requirelowestterms>
|
|
|
1888 |
<checkanswertype>0</checkanswertype>
|
|
|
1889 |
<mustverify>1</mustverify>
|
|
|
1890 |
<showvalidation>1</showvalidation>
|
|
|
1891 |
<options></options>
|
|
|
1892 |
</input>
|
|
|
1893 |
<prt>
|
|
|
1894 |
<name>prt1</name>
|
|
|
1895 |
<value>1.0000000</value>
|
|
|
1896 |
<autosimplify>1</autosimplify>
|
|
|
1897 |
<feedbackvariables>
|
|
|
1898 |
<text><![CDATA[anspt : if (x>x0 and x<x1) then ans1 else 1000;]]></text>
|
|
|
1899 |
</feedbackvariables>
|
|
|
1900 |
<node>
|
|
|
1901 |
<name>0</name>
|
|
|
1902 |
<answertest>AlgEquiv</answertest>
|
|
|
1903 |
<sans>subst(x=x0,ans1)</sans>
|
|
|
1904 |
<tans>subst(x=x0,f0)</tans>
|
|
|
1905 |
<testoptions></testoptions>
|
|
|
1906 |
<quiet>0</quiet>
|
|
|
1907 |
<truescoremode>+</truescoremode>
|
|
|
1908 |
<truescore>0.2500000</truescore>
|
|
|
1909 |
<truepenalty></truepenalty>
|
|
|
1910 |
<truenextnode>1</truenextnode>
|
|
|
1911 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
1912 |
<truefeedback format="html">
|
|
|
1913 |
<text></text>
|
|
|
1914 |
</truefeedback>
|
|
|
1915 |
<falsescoremode>=</falsescoremode>
|
|
|
1916 |
<falsescore>0.0000000</falsescore>
|
|
|
1917 |
<falsepenalty></falsepenalty>
|
|
|
1918 |
<falsenextnode>1</falsenextnode>
|
|
|
1919 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
1920 |
<falsefeedback format="html">
|
|
|
1921 |
<text><![CDATA[<p>Your answer does not satisfy \({@p(x0)=subst(x=x0,f0)@}\).</p>]]></text>
|
|
|
1922 |
</falsefeedback>
|
|
|
1923 |
</node>
|
|
|
1924 |
<node>
|
|
|
1925 |
<name>1</name>
|
|
|
1926 |
<answertest>AlgEquiv</answertest>
|
|
|
1927 |
<sans>subst(x=x1,ans1)</sans>
|
|
|
1928 |
<tans>subst(x=x1,f1)</tans>
|
|
|
1929 |
<testoptions></testoptions>
|
|
|
1930 |
<quiet>0</quiet>
|
|
|
1931 |
<truescoremode>+</truescoremode>
|
|
|
1932 |
<truescore>0.2500000</truescore>
|
|
|
1933 |
<truepenalty></truepenalty>
|
|
|
1934 |
<truenextnode>2</truenextnode>
|
|
|
1935 |
<trueanswernote>prt1-2-T</trueanswernote>
|
|
|
1936 |
<truefeedback format="html">
|
|
|
1937 |
<text></text>
|
|
|
1938 |
</truefeedback>
|
|
|
1939 |
<falsescoremode>+</falsescoremode>
|
|
|
1940 |
<falsescore>0.0000000</falsescore>
|
|
|
1941 |
<falsepenalty></falsepenalty>
|
|
|
1942 |
<falsenextnode>2</falsenextnode>
|
|
|
1943 |
<falseanswernote>prt1-2-F</falseanswernote>
|
|
|
1944 |
<falsefeedback format="html">
|
|
|
1945 |
<text><![CDATA[<p>Your answer does not satisfy \({@p(x1)=subst(x=x1,f1)@}\).</p>]]></text>
|
|
|
1946 |
</falsefeedback>
|
|
|
1947 |
</node>
|
|
|
1948 |
<node>
|
|
|
1949 |
<name>2</name>
|
|
|
1950 |
<answertest>AlgEquiv</answertest>
|
|
|
1951 |
<sans>subst(x=x0,diff(ans1,x))</sans>
|
|
|
1952 |
<tans>subst(x=x0,diff(f0,x))</tans>
|
|
|
1953 |
<testoptions></testoptions>
|
|
|
1954 |
<quiet>0</quiet>
|
|
|
1955 |
<truescoremode>+</truescoremode>
|
|
|
1956 |
<truescore>0.2500000</truescore>
|
|
|
1957 |
<truepenalty></truepenalty>
|
|
|
1958 |
<truenextnode>3</truenextnode>
|
|
|
1959 |
<trueanswernote>prt1-3-T</trueanswernote>
|
|
|
1960 |
<truefeedback format="html">
|
|
|
1961 |
<text></text>
|
|
|
1962 |
</truefeedback>
|
|
|
1963 |
<falsescoremode>+</falsescoremode>
|
|
|
1964 |
<falsescore>0.0000000</falsescore>
|
|
|
1965 |
<falsepenalty></falsepenalty>
|
|
|
1966 |
<falsenextnode>3</falsenextnode>
|
|
|
1967 |
<falseanswernote>prt1-3-F</falseanswernote>
|
|
|
1968 |
<falsefeedback format="html">
|
|
|
1969 |
<text><![CDATA[<p>Your answer does not satisfy \(p'({@x0@})={@subst(x=x0,diff(f0,x))@}\).</p>]]></text>
|
|
|
1970 |
</falsefeedback>
|
|
|
1971 |
</node>
|
|
|
1972 |
<node>
|
|
|
1973 |
<name>3</name>
|
|
|
1974 |
<answertest>AlgEquiv</answertest>
|
|
|
1975 |
<sans>subst(x=x1,diff(ans1,x))</sans>
|
|
|
1976 |
<tans>subst(x=x1,diff(f1,x))</tans>
|
|
|
1977 |
<testoptions></testoptions>
|
|
|
1978 |
<quiet>0</quiet>
|
|
|
1979 |
<truescoremode>+</truescoremode>
|
|
|
1980 |
<truescore>0.2500000</truescore>
|
|
|
1981 |
<truepenalty></truepenalty>
|
|
|
1982 |
<truenextnode>4</truenextnode>
|
|
|
1983 |
<trueanswernote>prt1-4-T</trueanswernote>
|
|
|
1984 |
<truefeedback format="html">
|
|
|
1985 |
<text></text>
|
|
|
1986 |
</truefeedback>
|
|
|
1987 |
<falsescoremode>+</falsescoremode>
|
|
|
1988 |
<falsescore>0.0000000</falsescore>
|
|
|
1989 |
<falsepenalty></falsepenalty>
|
|
|
1990 |
<falsenextnode>4</falsenextnode>
|
|
|
1991 |
<falseanswernote>prt1-4-F</falseanswernote>
|
|
|
1992 |
<falsefeedback format="html">
|
|
|
1993 |
<text><![CDATA[<p>Your answer does not satisfy \(p'({@x1@})={@subst(x=x1,diff(f1,x))@}\).</p>]]></text>
|
|
|
1994 |
</falsefeedback>
|
|
|
1995 |
</node>
|
|
|
1996 |
<node>
|
|
|
1997 |
<name>4</name>
|
|
|
1998 |
<answertest>AlgEquiv</answertest>
|
|
|
1999 |
<sans>degree(ans1,x)</sans>
|
|
|
2000 |
<tans>3</tans>
|
|
|
2001 |
<testoptions></testoptions>
|
|
|
2002 |
<quiet>0</quiet>
|
|
|
2003 |
<truescoremode>+</truescoremode>
|
|
|
2004 |
<truescore>0.0000000</truescore>
|
|
|
2005 |
<truepenalty></truepenalty>
|
|
|
2006 |
<truenextnode>5</truenextnode>
|
|
|
2007 |
<trueanswernote>prt1-5-T</trueanswernote>
|
|
|
2008 |
<truefeedback format="html">
|
|
|
2009 |
<text></text>
|
|
|
2010 |
</truefeedback>
|
|
|
2011 |
<falsescoremode>=</falsescoremode>
|
|
|
2012 |
<falsescore>0.0000000</falsescore>
|
|
|
2013 |
<falsepenalty></falsepenalty>
|
|
|
2014 |
<falsenextnode>5</falsenextnode>
|
|
|
2015 |
<falseanswernote>prt1-5-F</falseanswernote>
|
|
|
2016 |
<falsefeedback format="html">
|
|
|
2017 |
<text><![CDATA[<p>Your answer is not a cubic!</p>]]></text>
|
|
|
2018 |
</falsefeedback>
|
|
|
2019 |
</node>
|
|
|
2020 |
<node>
|
|
|
2021 |
<name>5</name>
|
|
|
2022 |
<answertest>AlgEquiv</answertest>
|
|
|
2023 |
<sans>ans1</sans>
|
|
|
2024 |
<tans>ta</tans>
|
|
|
2025 |
<testoptions></testoptions>
|
|
|
2026 |
<quiet>0</quiet>
|
|
|
2027 |
<truescoremode>=</truescoremode>
|
|
|
2028 |
<truescore>1.0000000</truescore>
|
|
|
2029 |
<truepenalty></truepenalty>
|
|
|
2030 |
<truenextnode>-1</truenextnode>
|
|
|
2031 |
<trueanswernote>prt1-6-T</trueanswernote>
|
|
|
2032 |
<truefeedback format="html">
|
|
|
2033 |
<text></text>
|
|
|
2034 |
</truefeedback>
|
|
|
2035 |
<falsescoremode>+</falsescoremode>
|
|
|
2036 |
<falsescore>0.0000000</falsescore>
|
|
|
2037 |
<falsepenalty></falsepenalty>
|
|
|
2038 |
<falsenextnode>-1</falsenextnode>
|
|
|
2039 |
<falseanswernote>prt1-6-F</falseanswernote>
|
|
|
2040 |
<falsefeedback format="html">
|
|
|
2041 |
<text><![CDATA[<p>Your answer is plotted below, although part of your graph might appear out of range of the plot!</p>
|
|
|
2042 |
<p>{@plot([pg,anspt],[x,(x0-3),(x1+3)],[y,-3,3])@}</p>]]></text>
|
|
|
2043 |
</falsefeedback>
|
|
|
2044 |
</node>
|
|
|
2045 |
</prt>
|
|
|
2046 |
<qtest>
|
|
|
2047 |
<testcase>1</testcase>
|
|
|
2048 |
<testinput>
|
|
|
2049 |
<name>ans1</name>
|
|
|
2050 |
<value>ta</value>
|
|
|
2051 |
</testinput>
|
|
|
2052 |
<expected>
|
|
|
2053 |
<name>prt1</name>
|
|
|
2054 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2055 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2056 |
<expectedanswernote>prt1-6-T</expectedanswernote>
|
|
|
2057 |
</expected>
|
|
|
2058 |
</qtest>
|
|
|
2059 |
<qtest>
|
|
|
2060 |
<testcase>2</testcase>
|
|
|
2061 |
<testinput>
|
|
|
2062 |
<name>ans1</name>
|
|
|
2063 |
<value>x^2</value>
|
|
|
2064 |
</testinput>
|
|
|
2065 |
<expected>
|
|
|
2066 |
<name>prt1</name>
|
|
|
2067 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2068 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2069 |
<expectedanswernote>prt1-6-F</expectedanswernote>
|
|
|
2070 |
</expected>
|
|
|
2071 |
</qtest>
|
|
|
2072 |
<qtest>
|
|
|
2073 |
<testcase>3</testcase>
|
|
|
2074 |
<testinput>
|
|
|
2075 |
<name>ans1</name>
|
|
|
2076 |
<value>(2*%pi/9+2/27)*x^3-x^2/9+(-2*%pi/3-4/9)*x-4*%pi/9+20/27</value>
|
|
|
2077 |
</testinput>
|
|
|
2078 |
<expected>
|
|
|
2079 |
<name>prt1</name>
|
|
|
2080 |
<expectedscore>0.7500000</expectedscore>
|
|
|
2081 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2082 |
<expectedanswernote>prt1-6-F</expectedanswernote>
|
|
|
2083 |
</expected>
|
|
|
2084 |
</qtest>
|
|
|
2085 |
</question>
|
|
|
2086 |
|
|
|
2087 |
<!-- question: 16 -->
|
|
|
2088 |
<question type="stack">
|
|
|
2089 |
<name>
|
|
|
2090 |
<text>text_4_complex-De Moivre's</text>
|
|
|
2091 |
</name>
|
|
|
2092 |
<questiontext format="html">
|
|
|
2093 |
<text><![CDATA[<p>Given a complex number \(\displaystyle z={@q@}\) <span class="nolink">determine<br /></span></p>
|
|
|
2094 |
<p>\(|z^{@n@}|=\)[[input:ans1]] [[validation:ans1]] [[feedback:prt1]]</p>
|
|
|
2095 |
<p>and \(\arg(z^{@n@})=\)[[input:ans2]] [[validation:ans2]] [[feedback:prt2]]</p>]]></text>
|
|
|
2096 |
</questiontext>
|
|
|
2097 |
<generalfeedback format="html">
|
|
|
2098 |
<text><![CDATA[<p>It makes sense that the index laws should still apply. This is called De Moivre's theorem.</p>
|
|
|
2099 |
<p>\[ {@q^n@} ={@a^n@} e^{@b*n*%i*%pi@}.\]</p>
|
|
|
2100 |
<p>Recall that</p>
|
|
|
2101 |
<p>\[ e^{i\theta} = \cos(\theta)+i\sin(\theta).\]</p>
|
|
|
2102 |
<p>Working with the principle argument \(0\leq \theta \leq 2\pi\) gives us</p>
|
|
|
2103 |
<p>\[ {@q^n@} = {@a^n@} e^{@b*n*%i*%pi@} = {@a^n@} e^{@ev(b*n,simp)*%i*%pi@} = {@a^n@} e^{@p*%i*%pi@}.\]</p>]]></text>
|
|
|
2104 |
</generalfeedback>
|
|
|
2105 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
2106 |
<penalty>0.1000000</penalty>
|
|
|
2107 |
<hidden>0</hidden>
|
|
|
2108 |
<questionvariables>
|
|
|
2109 |
<text>a : ev(2+rand(15),simp);
|
|
|
2110 |
b : ev((-1)^rand(2)*((1+rand(10)))/(2+rand(15)),simp);
|
|
|
2111 |
n : ev(3+rand(20),simp);
|
|
|
2112 |
q : a*%e^(b*%i*%pi);
|
|
|
2113 |
p : ev(mod(b*n,2),simp);</text>
|
|
|
2114 |
</questionvariables>
|
|
|
2115 |
<specificfeedback format="html">
|
|
|
2116 |
<text></text>
|
|
|
2117 |
</specificfeedback>
|
|
|
2118 |
<questionnote>
|
|
|
2119 |
<text>{@q^n = a^n*(cos(p*%i*%pi)+%i*sin(p*%i*%pi))@}</text>
|
|
|
2120 |
</questionnote>
|
|
|
2121 |
<questionsimplify>0</questionsimplify>
|
|
|
2122 |
<assumepositive>0</assumepositive>
|
|
|
2123 |
<assumereal>0</assumereal>
|
|
|
2124 |
<prtcorrect format="html">
|
|
|
2125 |
<text><![CDATA[<p>Correct answer, well done.</p>]]></text>
|
|
|
2126 |
</prtcorrect>
|
|
|
2127 |
<prtpartiallycorrect format="html">
|
|
|
2128 |
<text><![CDATA[<p>Your answer is partially correct.</p>]]></text>
|
|
|
2129 |
</prtpartiallycorrect>
|
|
|
2130 |
<prtincorrect format="html">
|
|
|
2131 |
<text><![CDATA[<p>Incorrect answer.</p>]]></text>
|
|
|
2132 |
</prtincorrect>
|
|
|
2133 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
2134 |
<sqrtsign>1</sqrtsign>
|
|
|
2135 |
<complexno>i</complexno>
|
|
|
2136 |
<inversetrig>cos-1</inversetrig>
|
|
|
2137 |
<matrixparens>[</matrixparens>
|
|
|
2138 |
<variantsselectionseed></variantsselectionseed>
|
|
|
2139 |
<input>
|
|
|
2140 |
<name>ans1</name>
|
|
|
2141 |
<type>algebraic</type>
|
|
|
2142 |
<tans>a^n</tans>
|
|
|
2143 |
<boxsize>15</boxsize>
|
|
|
2144 |
<strictsyntax>1</strictsyntax>
|
|
|
2145 |
<insertstars>0</insertstars>
|
|
|
2146 |
<syntaxhint></syntaxhint>
|
|
|
2147 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2148 |
<forbidwords></forbidwords>
|
|
|
2149 |
<allowwords></allowwords>
|
|
|
2150 |
<forbidfloat>1</forbidfloat>
|
|
|
2151 |
<requirelowestterms>0</requirelowestterms>
|
|
|
2152 |
<checkanswertype>0</checkanswertype>
|
|
|
2153 |
<mustverify>1</mustverify>
|
|
|
2154 |
<showvalidation>1</showvalidation>
|
|
|
2155 |
<options></options>
|
|
|
2156 |
</input>
|
|
|
2157 |
<input>
|
|
|
2158 |
<name>ans2</name>
|
|
|
2159 |
<type>algebraic</type>
|
|
|
2160 |
<tans>p*%pi</tans>
|
|
|
2161 |
<boxsize>15</boxsize>
|
|
|
2162 |
<strictsyntax>1</strictsyntax>
|
|
|
2163 |
<insertstars>0</insertstars>
|
|
|
2164 |
<syntaxhint></syntaxhint>
|
|
|
2165 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2166 |
<forbidwords></forbidwords>
|
|
|
2167 |
<allowwords></allowwords>
|
|
|
2168 |
<forbidfloat>1</forbidfloat>
|
|
|
2169 |
<requirelowestterms>0</requirelowestterms>
|
|
|
2170 |
<checkanswertype>0</checkanswertype>
|
|
|
2171 |
<mustverify>1</mustverify>
|
|
|
2172 |
<showvalidation>1</showvalidation>
|
|
|
2173 |
<options></options>
|
|
|
2174 |
</input>
|
|
|
2175 |
<prt>
|
|
|
2176 |
<name>prt1</name>
|
|
|
2177 |
<value>1.0000000</value>
|
|
|
2178 |
<autosimplify>1</autosimplify>
|
|
|
2179 |
<feedbackvariables>
|
|
|
2180 |
<text></text>
|
|
|
2181 |
</feedbackvariables>
|
|
|
2182 |
<node>
|
|
|
2183 |
<name>0</name>
|
|
|
2184 |
<answertest>AlgEquiv</answertest>
|
|
|
2185 |
<sans>ans1</sans>
|
|
|
2186 |
<tans>a^n</tans>
|
|
|
2187 |
<testoptions></testoptions>
|
|
|
2188 |
<quiet>0</quiet>
|
|
|
2189 |
<truescoremode>=</truescoremode>
|
|
|
2190 |
<truescore>1.0000000</truescore>
|
|
|
2191 |
<truepenalty>0.0000000</truepenalty>
|
|
|
2192 |
<truenextnode>-1</truenextnode>
|
|
|
2193 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
2194 |
<truefeedback format="html">
|
|
|
2195 |
<text></text>
|
|
|
2196 |
</truefeedback>
|
|
|
2197 |
<falsescoremode>=</falsescoremode>
|
|
|
2198 |
<falsescore>0.0000000</falsescore>
|
|
|
2199 |
<falsepenalty>0.0000000</falsepenalty>
|
|
|
2200 |
<falsenextnode>-1</falsenextnode>
|
|
|
2201 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
2202 |
<falsefeedback format="html">
|
|
|
2203 |
<text></text>
|
|
|
2204 |
</falsefeedback>
|
|
|
2205 |
</node>
|
|
|
2206 |
</prt>
|
|
|
2207 |
<prt>
|
|
|
2208 |
<name>prt2</name>
|
|
|
2209 |
<value>1.0000000</value>
|
|
|
2210 |
<autosimplify>1</autosimplify>
|
|
|
2211 |
<feedbackvariables>
|
|
|
2212 |
<text></text>
|
|
|
2213 |
</feedbackvariables>
|
|
|
2214 |
<node>
|
|
|
2215 |
<name>0</name>
|
|
|
2216 |
<answertest>AlgEquiv</answertest>
|
|
|
2217 |
<sans>[cos(ans2),sin(ans2)]</sans>
|
|
|
2218 |
<tans>[cos(b*%pi*n),sin(b*%pi*n)]</tans>
|
|
|
2219 |
<testoptions></testoptions>
|
|
|
2220 |
<quiet>1</quiet>
|
|
|
2221 |
<truescoremode>=</truescoremode>
|
|
|
2222 |
<truescore>1.0000000</truescore>
|
|
|
2223 |
<truepenalty></truepenalty>
|
|
|
2224 |
<truenextnode>-1</truenextnode>
|
|
|
2225 |
<trueanswernote>prt2-1-T</trueanswernote>
|
|
|
2226 |
<truefeedback format="html">
|
|
|
2227 |
<text></text>
|
|
|
2228 |
</truefeedback>
|
|
|
2229 |
<falsescoremode>=</falsescoremode>
|
|
|
2230 |
<falsescore>0.0000000</falsescore>
|
|
|
2231 |
<falsepenalty></falsepenalty>
|
|
|
2232 |
<falsenextnode>-1</falsenextnode>
|
|
|
2233 |
<falseanswernote>prt2-1-F</falseanswernote>
|
|
|
2234 |
<falsefeedback format="html">
|
|
|
2235 |
<text></text>
|
|
|
2236 |
</falsefeedback>
|
|
|
2237 |
</node>
|
|
|
2238 |
</prt>
|
|
|
2239 |
<qtest>
|
|
|
2240 |
<testcase>1</testcase>
|
|
|
2241 |
<testinput>
|
|
|
2242 |
<name>ans1</name>
|
|
|
2243 |
<value>a^n</value>
|
|
|
2244 |
</testinput>
|
|
|
2245 |
<testinput>
|
|
|
2246 |
<name>ans2</name>
|
|
|
2247 |
<value></value>
|
|
|
2248 |
</testinput>
|
|
|
2249 |
<expected>
|
|
|
2250 |
<name>prt1</name>
|
|
|
2251 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2252 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2253 |
<expectedanswernote>prt1-1-T</expectedanswernote>
|
|
|
2254 |
</expected>
|
|
|
2255 |
<expected>
|
|
|
2256 |
<name>prt2</name>
|
|
|
2257 |
<expectedscore></expectedscore>
|
|
|
2258 |
<expectedpenalty></expectedpenalty>
|
|
|
2259 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
2260 |
</expected>
|
|
|
2261 |
</qtest>
|
|
|
2262 |
<qtest>
|
|
|
2263 |
<testcase>2</testcase>
|
|
|
2264 |
<testinput>
|
|
|
2265 |
<name>ans1</name>
|
|
|
2266 |
<value></value>
|
|
|
2267 |
</testinput>
|
|
|
2268 |
<testinput>
|
|
|
2269 |
<name>ans2</name>
|
|
|
2270 |
<value>b*n*%pi</value>
|
|
|
2271 |
</testinput>
|
|
|
2272 |
<expected>
|
|
|
2273 |
<name>prt1</name>
|
|
|
2274 |
<expectedscore></expectedscore>
|
|
|
2275 |
<expectedpenalty></expectedpenalty>
|
|
|
2276 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
2277 |
</expected>
|
|
|
2278 |
<expected>
|
|
|
2279 |
<name>prt2</name>
|
|
|
2280 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2281 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2282 |
<expectedanswernote>prt2-1-T</expectedanswernote>
|
|
|
2283 |
</expected>
|
|
|
2284 |
</qtest>
|
|
|
2285 |
<qtest>
|
|
|
2286 |
<testcase>3</testcase>
|
|
|
2287 |
<testinput>
|
|
|
2288 |
<name>ans1</name>
|
|
|
2289 |
<value></value>
|
|
|
2290 |
</testinput>
|
|
|
2291 |
<testinput>
|
|
|
2292 |
<name>ans2</name>
|
|
|
2293 |
<value>p*%pi</value>
|
|
|
2294 |
</testinput>
|
|
|
2295 |
<expected>
|
|
|
2296 |
<name>prt1</name>
|
|
|
2297 |
<expectedscore></expectedscore>
|
|
|
2298 |
<expectedpenalty></expectedpenalty>
|
|
|
2299 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
2300 |
</expected>
|
|
|
2301 |
<expected>
|
|
|
2302 |
<name>prt2</name>
|
|
|
2303 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2304 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2305 |
<expectedanswernote>prt2-1-T</expectedanswernote>
|
|
|
2306 |
</expected>
|
|
|
2307 |
</qtest>
|
|
|
2308 |
</question>
|
|
|
2309 |
|
|
|
2310 |
<!-- question: 19 -->
|
|
|
2311 |
<question type="stack">
|
|
|
2312 |
<name>
|
|
|
2313 |
<text>text_6_odd_even</text>
|
|
|
2314 |
</name>
|
|
|
2315 |
<questiontext format="html">
|
|
|
2316 |
<text><![CDATA[<p>1. Give an example of an odd function by typing an expression which represents it. \(f_1(x)=\) [[input:ans1]]. [[validation:ans1]] [[feedback:odd]]</p>
|
|
|
2317 |
<p>2. Give an example of an even function. \(f_2(x)=\) [[input:ans2]]. [[validation:ans2]] [[feedback:even]]</p>
|
|
|
2318 |
<p>3. Give an example of a function which is odd and even. \(f_3(x)=\) [[input:ans3]]. [[validation:ans3]] [[feedback:oddeven]]</p>
|
|
|
2319 |
<p>4. Is the answer to 3. unique? [[input:ans4]] (Or are there many different possibilities.) [[validation:ans4]] [[feedback:unique]]</p>]]></text>
|
|
|
2320 |
</questiontext>
|
|
|
2321 |
<generalfeedback format="html">
|
|
|
2322 |
<text></text>
|
|
|
2323 |
</generalfeedback>
|
|
|
2324 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
2325 |
<penalty>0.3333333</penalty>
|
|
|
2326 |
<hidden>0</hidden>
|
|
|
2327 |
<questionvariables>
|
|
|
2328 |
<text></text>
|
|
|
2329 |
</questionvariables>
|
|
|
2330 |
<specificfeedback format="html">
|
|
|
2331 |
<text></text>
|
|
|
2332 |
</specificfeedback>
|
|
|
2333 |
<questionnote>
|
|
|
2334 |
<text></text>
|
|
|
2335 |
</questionnote>
|
|
|
2336 |
<questionsimplify>1</questionsimplify>
|
|
|
2337 |
<assumepositive>0</assumepositive>
|
|
|
2338 |
<assumereal>0</assumereal>
|
|
|
2339 |
<prtcorrect format="html">
|
|
|
2340 |
<text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
|
|
|
2341 |
</prtcorrect>
|
|
|
2342 |
<prtpartiallycorrect format="html">
|
|
|
2343 |
<text><![CDATA[<p><span class="incorrect">Your answer is partially correct.</span></p>]]></text>
|
|
|
2344 |
</prtpartiallycorrect>
|
|
|
2345 |
<prtincorrect format="html">
|
|
|
2346 |
<text><![CDATA[<p><span class="partially">Incorrect answer.</span></p>]]></text>
|
|
|
2347 |
</prtincorrect>
|
|
|
2348 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
2349 |
<sqrtsign>1</sqrtsign>
|
|
|
2350 |
<complexno>i</complexno>
|
|
|
2351 |
<inversetrig>cos-1</inversetrig>
|
|
|
2352 |
<matrixparens>[</matrixparens>
|
|
|
2353 |
<variantsselectionseed></variantsselectionseed>
|
|
|
2354 |
<input>
|
|
|
2355 |
<name>ans1</name>
|
|
|
2356 |
<type>algebraic</type>
|
|
|
2357 |
<tans>x^3</tans>
|
|
|
2358 |
<boxsize>15</boxsize>
|
|
|
2359 |
<strictsyntax>1</strictsyntax>
|
|
|
2360 |
<insertstars>0</insertstars>
|
|
|
2361 |
<syntaxhint></syntaxhint>
|
|
|
2362 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2363 |
<forbidwords></forbidwords>
|
|
|
2364 |
<allowwords></allowwords>
|
|
|
2365 |
<forbidfloat>1</forbidfloat>
|
|
|
2366 |
<requirelowestterms>1</requirelowestterms>
|
|
|
2367 |
<checkanswertype>1</checkanswertype>
|
|
|
2368 |
<mustverify>1</mustverify>
|
|
|
2369 |
<showvalidation>1</showvalidation>
|
|
|
2370 |
<options></options>
|
|
|
2371 |
</input>
|
|
|
2372 |
<input>
|
|
|
2373 |
<name>ans2</name>
|
|
|
2374 |
<type>algebraic</type>
|
|
|
2375 |
<tans>x^4</tans>
|
|
|
2376 |
<boxsize>15</boxsize>
|
|
|
2377 |
<strictsyntax>1</strictsyntax>
|
|
|
2378 |
<insertstars>0</insertstars>
|
|
|
2379 |
<syntaxhint></syntaxhint>
|
|
|
2380 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2381 |
<forbidwords></forbidwords>
|
|
|
2382 |
<allowwords></allowwords>
|
|
|
2383 |
<forbidfloat>1</forbidfloat>
|
|
|
2384 |
<requirelowestterms>1</requirelowestterms>
|
|
|
2385 |
<checkanswertype>1</checkanswertype>
|
|
|
2386 |
<mustverify>1</mustverify>
|
|
|
2387 |
<showvalidation>1</showvalidation>
|
|
|
2388 |
<options></options>
|
|
|
2389 |
</input>
|
|
|
2390 |
<input>
|
|
|
2391 |
<name>ans3</name>
|
|
|
2392 |
<type>algebraic</type>
|
|
|
2393 |
<tans>0</tans>
|
|
|
2394 |
<boxsize>15</boxsize>
|
|
|
2395 |
<strictsyntax>1</strictsyntax>
|
|
|
2396 |
<insertstars>0</insertstars>
|
|
|
2397 |
<syntaxhint></syntaxhint>
|
|
|
2398 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2399 |
<forbidwords></forbidwords>
|
|
|
2400 |
<allowwords></allowwords>
|
|
|
2401 |
<forbidfloat>1</forbidfloat>
|
|
|
2402 |
<requirelowestterms>1</requirelowestterms>
|
|
|
2403 |
<checkanswertype>1</checkanswertype>
|
|
|
2404 |
<mustverify>1</mustverify>
|
|
|
2405 |
<showvalidation>1</showvalidation>
|
|
|
2406 |
<options></options>
|
|
|
2407 |
</input>
|
|
|
2408 |
<input>
|
|
|
2409 |
<name>ans4</name>
|
|
|
2410 |
<type>boolean</type>
|
|
|
2411 |
<tans>true</tans>
|
|
|
2412 |
<boxsize>15</boxsize>
|
|
|
2413 |
<strictsyntax>1</strictsyntax>
|
|
|
2414 |
<insertstars>0</insertstars>
|
|
|
2415 |
<syntaxhint></syntaxhint>
|
|
|
2416 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2417 |
<forbidwords></forbidwords>
|
|
|
2418 |
<allowwords></allowwords>
|
|
|
2419 |
<forbidfloat>1</forbidfloat>
|
|
|
2420 |
<requirelowestterms>1</requirelowestterms>
|
|
|
2421 |
<checkanswertype>1</checkanswertype>
|
|
|
2422 |
<mustverify>1</mustverify>
|
|
|
2423 |
<showvalidation>1</showvalidation>
|
|
|
2424 |
<options></options>
|
|
|
2425 |
</input>
|
|
|
2426 |
<prt>
|
|
|
2427 |
<name>even</name>
|
|
|
2428 |
<value>1.0000000</value>
|
|
|
2429 |
<autosimplify>1</autosimplify>
|
|
|
2430 |
<feedbackvariables>
|
|
|
2431 |
<text>sa:ans2-subst(x=-x,ans2);</text>
|
|
|
2432 |
</feedbackvariables>
|
|
|
2433 |
<node>
|
|
|
2434 |
<name>0</name>
|
|
|
2435 |
<answertest>AlgEquiv</answertest>
|
|
|
2436 |
<sans>sa</sans>
|
|
|
2437 |
<tans>0</tans>
|
|
|
2438 |
<testoptions></testoptions>
|
|
|
2439 |
<quiet>0</quiet>
|
|
|
2440 |
<truescoremode>=</truescoremode>
|
|
|
2441 |
<truescore>1.0000000</truescore>
|
|
|
2442 |
<truepenalty></truepenalty>
|
|
|
2443 |
<truenextnode>-1</truenextnode>
|
|
|
2444 |
<trueanswernote>even-0-T </trueanswernote>
|
|
|
2445 |
<truefeedback format="html">
|
|
|
2446 |
<text></text>
|
|
|
2447 |
</truefeedback>
|
|
|
2448 |
<falsescoremode>=</falsescoremode>
|
|
|
2449 |
<falsescore>0.0000000</falsescore>
|
|
|
2450 |
<falsepenalty></falsepenalty>
|
|
|
2451 |
<falsenextnode>-1</falsenextnode>
|
|
|
2452 |
<falseanswernote>even-0-F </falseanswernote>
|
|
|
2453 |
<falsefeedback format="html">
|
|
|
2454 |
<text><![CDATA[<p>Your answer is not an even function. Look, \[ f(x)-f(-x)={@sa@} \neq 0.\]</p>]]></text>
|
|
|
2455 |
</falsefeedback>
|
|
|
2456 |
</node>
|
|
|
2457 |
</prt>
|
|
|
2458 |
<prt>
|
|
|
2459 |
<name>odd</name>
|
|
|
2460 |
<value>1.0000000</value>
|
|
|
2461 |
<autosimplify>1</autosimplify>
|
|
|
2462 |
<feedbackvariables>
|
|
|
2463 |
<text>sa:subst(x=-x,ans1)+ans1;</text>
|
|
|
2464 |
</feedbackvariables>
|
|
|
2465 |
<node>
|
|
|
2466 |
<name>0</name>
|
|
|
2467 |
<answertest>AlgEquiv</answertest>
|
|
|
2468 |
<sans>sa</sans>
|
|
|
2469 |
<tans>0</tans>
|
|
|
2470 |
<testoptions></testoptions>
|
|
|
2471 |
<quiet>0</quiet>
|
|
|
2472 |
<truescoremode>=</truescoremode>
|
|
|
2473 |
<truescore>1.0000000</truescore>
|
|
|
2474 |
<truepenalty></truepenalty>
|
|
|
2475 |
<truenextnode>-1</truenextnode>
|
|
|
2476 |
<trueanswernote>odd-0-T </trueanswernote>
|
|
|
2477 |
<truefeedback format="html">
|
|
|
2478 |
<text></text>
|
|
|
2479 |
</truefeedback>
|
|
|
2480 |
<falsescoremode>=</falsescoremode>
|
|
|
2481 |
<falsescore>0.0000000</falsescore>
|
|
|
2482 |
<falsepenalty></falsepenalty>
|
|
|
2483 |
<falsenextnode>-1</falsenextnode>
|
|
|
2484 |
<falseanswernote>odd-0-F </falseanswernote>
|
|
|
2485 |
<falsefeedback format="html">
|
|
|
2486 |
<text><![CDATA[<p>Your answer is not an odd function. Look, \[ f(x)+f(-x)={@sa@} \neq 0.\]</p>]]></text>
|
|
|
2487 |
</falsefeedback>
|
|
|
2488 |
</node>
|
|
|
2489 |
</prt>
|
|
|
2490 |
<prt>
|
|
|
2491 |
<name>oddeven</name>
|
|
|
2492 |
<value>2.0000000</value>
|
|
|
2493 |
<autosimplify>1</autosimplify>
|
|
|
2494 |
<feedbackvariables>
|
|
|
2495 |
<text>sa1:subst(x=-x,ans3)+ans3;
|
|
|
2496 |
sa2:ans3-subst(x=-x,ans3);</text>
|
|
|
2497 |
</feedbackvariables>
|
|
|
2498 |
<node>
|
|
|
2499 |
<name>0</name>
|
|
|
2500 |
<answertest>AlgEquiv</answertest>
|
|
|
2501 |
<sans>sa1</sans>
|
|
|
2502 |
<tans>0</tans>
|
|
|
2503 |
<testoptions></testoptions>
|
|
|
2504 |
<quiet>0</quiet>
|
|
|
2505 |
<truescoremode>=</truescoremode>
|
|
|
2506 |
<truescore>0.5000000</truescore>
|
|
|
2507 |
<truepenalty></truepenalty>
|
|
|
2508 |
<truenextnode>1</truenextnode>
|
|
|
2509 |
<trueanswernote>ODD</trueanswernote>
|
|
|
2510 |
<truefeedback format="html">
|
|
|
2511 |
<text></text>
|
|
|
2512 |
</truefeedback>
|
|
|
2513 |
<falsescoremode>=</falsescoremode>
|
|
|
2514 |
<falsescore>0.0000000</falsescore>
|
|
|
2515 |
<falsepenalty></falsepenalty>
|
|
|
2516 |
<falsenextnode>1</falsenextnode>
|
|
|
2517 |
<falseanswernote>oddeven-0-F </falseanswernote>
|
|
|
2518 |
<falsefeedback format="html">
|
|
|
2519 |
<text><![CDATA[<p>Your answer is not an odd function. Look, \[ f(x)+f(-x)={@sa1@} \neq 0.\]</p>]]></text>
|
|
|
2520 |
</falsefeedback>
|
|
|
2521 |
</node>
|
|
|
2522 |
<node>
|
|
|
2523 |
<name>1</name>
|
|
|
2524 |
<answertest>AlgEquiv</answertest>
|
|
|
2525 |
<sans>sa2</sans>
|
|
|
2526 |
<tans>0</tans>
|
|
|
2527 |
<testoptions></testoptions>
|
|
|
2528 |
<quiet>0</quiet>
|
|
|
2529 |
<truescoremode>+</truescoremode>
|
|
|
2530 |
<truescore>0.5000000</truescore>
|
|
|
2531 |
<truepenalty></truepenalty>
|
|
|
2532 |
<truenextnode>-1</truenextnode>
|
|
|
2533 |
<trueanswernote>EVEN</trueanswernote>
|
|
|
2534 |
<truefeedback format="html">
|
|
|
2535 |
<text></text>
|
|
|
2536 |
</truefeedback>
|
|
|
2537 |
<falsescoremode>+</falsescoremode>
|
|
|
2538 |
<falsescore>0.0000000</falsescore>
|
|
|
2539 |
<falsepenalty></falsepenalty>
|
|
|
2540 |
<falsenextnode>-1</falsenextnode>
|
|
|
2541 |
<falseanswernote>oddeven-1-F </falseanswernote>
|
|
|
2542 |
<falsefeedback format="html">
|
|
|
2543 |
<text><![CDATA[<p>Your answer is not an even function. Look, \[ f(x)-f(-x)={@sa2@} \neq 0.\]</p>]]></text>
|
|
|
2544 |
</falsefeedback>
|
|
|
2545 |
</node>
|
|
|
2546 |
</prt>
|
|
|
2547 |
<prt>
|
|
|
2548 |
<name>unique</name>
|
|
|
2549 |
<value>1.0000000</value>
|
|
|
2550 |
<autosimplify>1</autosimplify>
|
|
|
2551 |
<feedbackvariables>
|
|
|
2552 |
<text></text>
|
|
|
2553 |
</feedbackvariables>
|
|
|
2554 |
<node>
|
|
|
2555 |
<name>0</name>
|
|
|
2556 |
<answertest>AlgEquiv</answertest>
|
|
|
2557 |
<sans>ans4</sans>
|
|
|
2558 |
<tans>true</tans>
|
|
|
2559 |
<testoptions></testoptions>
|
|
|
2560 |
<quiet>0</quiet>
|
|
|
2561 |
<truescoremode>=</truescoremode>
|
|
|
2562 |
<truescore>1.0000000</truescore>
|
|
|
2563 |
<truepenalty></truepenalty>
|
|
|
2564 |
<truenextnode>-1</truenextnode>
|
|
|
2565 |
<trueanswernote>unique-0-T </trueanswernote>
|
|
|
2566 |
<truefeedback format="html">
|
|
|
2567 |
<text></text>
|
|
|
2568 |
</truefeedback>
|
|
|
2569 |
<falsescoremode>=</falsescoremode>
|
|
|
2570 |
<falsescore>0.0000000</falsescore>
|
|
|
2571 |
<falsepenalty></falsepenalty>
|
|
|
2572 |
<falsenextnode>-1</falsenextnode>
|
|
|
2573 |
<falseanswernote>unique-0-F </falseanswernote>
|
|
|
2574 |
<falsefeedback format="html">
|
|
|
2575 |
<text></text>
|
|
|
2576 |
</falsefeedback>
|
|
|
2577 |
</node>
|
|
|
2578 |
</prt>
|
|
|
2579 |
<qtest>
|
|
|
2580 |
<testcase>1</testcase>
|
|
|
2581 |
<testinput>
|
|
|
2582 |
<name>ans1</name>
|
|
|
2583 |
<value>x^3</value>
|
|
|
2584 |
</testinput>
|
|
|
2585 |
<testinput>
|
|
|
2586 |
<name>ans2</name>
|
|
|
2587 |
<value>cos(x)</value>
|
|
|
2588 |
</testinput>
|
|
|
2589 |
<testinput>
|
|
|
2590 |
<name>ans3</name>
|
|
|
2591 |
<value>0</value>
|
|
|
2592 |
</testinput>
|
|
|
2593 |
<testinput>
|
|
|
2594 |
<name>ans4</name>
|
|
|
2595 |
<value>true</value>
|
|
|
2596 |
</testinput>
|
|
|
2597 |
<expected>
|
|
|
2598 |
<name>even</name>
|
|
|
2599 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2600 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2601 |
<expectedanswernote>even-0-T</expectedanswernote>
|
|
|
2602 |
</expected>
|
|
|
2603 |
<expected>
|
|
|
2604 |
<name>odd</name>
|
|
|
2605 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2606 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2607 |
<expectedanswernote>odd-0-T</expectedanswernote>
|
|
|
2608 |
</expected>
|
|
|
2609 |
<expected>
|
|
|
2610 |
<name>oddeven</name>
|
|
|
2611 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2612 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2613 |
<expectedanswernote>EVEN</expectedanswernote>
|
|
|
2614 |
</expected>
|
|
|
2615 |
<expected>
|
|
|
2616 |
<name>unique</name>
|
|
|
2617 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2618 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2619 |
<expectedanswernote>unique-0-T</expectedanswernote>
|
|
|
2620 |
</expected>
|
|
|
2621 |
</qtest>
|
|
|
2622 |
<qtest>
|
|
|
2623 |
<testcase>2</testcase>
|
|
|
2624 |
<testinput>
|
|
|
2625 |
<name>ans1</name>
|
|
|
2626 |
<value>x^2</value>
|
|
|
2627 |
</testinput>
|
|
|
2628 |
<testinput>
|
|
|
2629 |
<name>ans2</name>
|
|
|
2630 |
<value>x^3</value>
|
|
|
2631 |
</testinput>
|
|
|
2632 |
<testinput>
|
|
|
2633 |
<name>ans3</name>
|
|
|
2634 |
<value>x^3</value>
|
|
|
2635 |
</testinput>
|
|
|
2636 |
<testinput>
|
|
|
2637 |
<name>ans4</name>
|
|
|
2638 |
<value>false</value>
|
|
|
2639 |
</testinput>
|
|
|
2640 |
<expected>
|
|
|
2641 |
<name>even</name>
|
|
|
2642 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2643 |
<expectedpenalty>0.3333333</expectedpenalty>
|
|
|
2644 |
<expectedanswernote>even-0-F</expectedanswernote>
|
|
|
2645 |
</expected>
|
|
|
2646 |
<expected>
|
|
|
2647 |
<name>odd</name>
|
|
|
2648 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2649 |
<expectedpenalty>0.3333333</expectedpenalty>
|
|
|
2650 |
<expectedanswernote>odd-0-F</expectedanswernote>
|
|
|
2651 |
</expected>
|
|
|
2652 |
<expected>
|
|
|
2653 |
<name>oddeven</name>
|
|
|
2654 |
<expectedscore>0.5000000</expectedscore>
|
|
|
2655 |
<expectedpenalty>0.3333333</expectedpenalty>
|
|
|
2656 |
<expectedanswernote>oddeven-1-F</expectedanswernote>
|
|
|
2657 |
</expected>
|
|
|
2658 |
<expected>
|
|
|
2659 |
<name>unique</name>
|
|
|
2660 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2661 |
<expectedpenalty>0.3333333</expectedpenalty>
|
|
|
2662 |
<expectedanswernote>unique-0-F</expectedanswernote>
|
|
|
2663 |
</expected>
|
|
|
2664 |
</qtest>
|
|
|
2665 |
</question>
|
|
|
2666 |
|
|
|
2667 |
<!-- question: 23 -->
|
|
|
2668 |
<question type="stack">
|
|
|
2669 |
<name>
|
|
|
2670 |
<text>text_7_solve_quadratic</text>
|
|
|
2671 |
</name>
|
|
|
2672 |
<questiontext format="html">
|
|
|
2673 |
<text><![CDATA[<p></p><p>Solve {@first(ta)@}, by factoring and working line by line. Leave your answer in the form \({@v@}=\cdots \mbox{ or } {@v@}=\cdots\) in fully simplified form.</p><p>[[input:ans1]] [[validation:ans1]]</p>]]></text>
|
|
|
2674 |
</questiontext>
|
|
|
2675 |
<generalfeedback format="html">
|
|
|
2676 |
<text><![CDATA[<p>\[ {@stack_disp_arg(ta, true)@} \]</p>]]></text>
|
|
|
2677 |
</generalfeedback>
|
|
|
2678 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
2679 |
<penalty>0.1000000</penalty>
|
|
|
2680 |
<hidden>0</hidden>
|
|
|
2681 |
<questionvariables>
|
|
|
2682 |
<text>n1:2
|
|
|
2683 |
n2:n1+3
|
|
|
2684 |
v:x
|
|
|
2685 |
p:expand((v-n1)*(v-n2))
|
|
|
2686 |
simp:false
|
|
|
2687 |
ta:[p=0,(v-n1)*(v-n2)=0,v-n1=0 nounor v-n2=0,v=n1 nounor v=n2]</text>
|
|
|
2688 |
</questionvariables>
|
|
|
2689 |
<specificfeedback format="html">
|
|
|
2690 |
<text>[[feedback:prt1]]</text>
|
|
|
2691 |
</specificfeedback>
|
|
|
2692 |
<questionnote>
|
|
|
2693 |
<text>{@ta@}</text>
|
|
|
2694 |
</questionnote>
|
|
|
2695 |
<questionsimplify>1</questionsimplify>
|
|
|
2696 |
<assumepositive>0</assumepositive>
|
|
|
2697 |
<assumereal>0</assumereal>
|
|
|
2698 |
<prtcorrect format="html">
|
|
|
2699 |
<text>Correct answer, well done.</text>
|
|
|
2700 |
</prtcorrect>
|
|
|
2701 |
<prtpartiallycorrect format="html">
|
|
|
2702 |
<text>Your answer is partially correct.</text>
|
|
|
2703 |
</prtpartiallycorrect>
|
|
|
2704 |
<prtincorrect format="html">
|
|
|
2705 |
<text>Incorrect answer.</text>
|
|
|
2706 |
</prtincorrect>
|
|
|
2707 |
<multiplicationsign>none</multiplicationsign>
|
|
|
2708 |
<sqrtsign>1</sqrtsign>
|
|
|
2709 |
<complexno>i</complexno>
|
|
|
2710 |
<inversetrig>cos-1</inversetrig>
|
|
|
2711 |
<matrixparens>[</matrixparens>
|
|
|
2712 |
<variantsselectionseed></variantsselectionseed>
|
|
|
2713 |
<input>
|
|
|
2714 |
<name>ans1</name>
|
|
|
2715 |
<type>equiv</type>
|
|
|
2716 |
<tans>ta</tans>
|
|
|
2717 |
<boxsize>15</boxsize>
|
|
|
2718 |
<strictsyntax>1</strictsyntax>
|
|
|
2719 |
<insertstars>5</insertstars>
|
|
|
2720 |
<syntaxhint>firstline</syntaxhint>
|
|
|
2721 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2722 |
<forbidwords></forbidwords>
|
|
|
2723 |
<allowwords></allowwords>
|
|
|
2724 |
<forbidfloat>1</forbidfloat>
|
|
|
2725 |
<requirelowestterms>0</requirelowestterms>
|
|
|
2726 |
<checkanswertype>0</checkanswertype>
|
|
|
2727 |
<mustverify>1</mustverify>
|
|
|
2728 |
<showvalidation>1</showvalidation>
|
|
|
2729 |
<options>firstline</options>
|
|
|
2730 |
</input>
|
|
|
2731 |
<prt>
|
|
|
2732 |
<name>prt1</name>
|
|
|
2733 |
<value>1.0000000</value>
|
|
|
2734 |
<autosimplify>0</autosimplify>
|
|
|
2735 |
<feedbackvariables>
|
|
|
2736 |
<text>foundfac1:ev(sublist(ans1,lambda([ex], equationp(ex) and is(rhs(ex)=0))),simp);
|
|
|
2737 |
foundfac2:ev(any_listp(lambda([ex], second(ATFacForm(lhs(ex),lhs(ex),x))), foundfac1),simp);</text>
|
|
|
2738 |
</feedbackvariables>
|
|
|
2739 |
<node>
|
|
|
2740 |
<name>0</name>
|
|
|
2741 |
<answertest>EquivFirst</answertest>
|
|
|
2742 |
<sans>ans1</sans>
|
|
|
2743 |
<tans>ta</tans>
|
|
|
2744 |
<testoptions>x</testoptions>
|
|
|
2745 |
<quiet>0</quiet>
|
|
|
2746 |
<truescoremode>=</truescoremode>
|
|
|
2747 |
<truescore>1.0000000</truescore>
|
|
|
2748 |
<truepenalty></truepenalty>
|
|
|
2749 |
<truenextnode>1</truenextnode>
|
|
|
2750 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
2751 |
<truefeedback format="html">
|
|
|
2752 |
<text></text>
|
|
|
2753 |
</truefeedback>
|
|
|
2754 |
<falsescoremode>=</falsescoremode>
|
|
|
2755 |
<falsescore>0.0000000</falsescore>
|
|
|
2756 |
<falsepenalty></falsepenalty>
|
|
|
2757 |
<falsenextnode>-1</falsenextnode>
|
|
|
2758 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
2759 |
<falsefeedback format="html">
|
|
|
2760 |
<text></text>
|
|
|
2761 |
</falsefeedback>
|
|
|
2762 |
</node>
|
|
|
2763 |
<node>
|
|
|
2764 |
<name>1</name>
|
|
|
2765 |
<answertest>EqualComAss</answertest>
|
|
|
2766 |
<sans>last(ans1)</sans>
|
|
|
2767 |
<tans>last(ta)</tans>
|
|
|
2768 |
<testoptions></testoptions>
|
|
|
2769 |
<quiet>1</quiet>
|
|
|
2770 |
<truescoremode>+</truescoremode>
|
|
|
2771 |
<truescore>0.0000000</truescore>
|
|
|
2772 |
<truepenalty></truepenalty>
|
|
|
2773 |
<truenextnode>2</truenextnode>
|
|
|
2774 |
<trueanswernote>prt1-2-T</trueanswernote>
|
|
|
2775 |
<truefeedback format="html">
|
|
|
2776 |
<text></text>
|
|
|
2777 |
</truefeedback>
|
|
|
2778 |
<falsescoremode>=</falsescoremode>
|
|
|
2779 |
<falsescore>0.0000000</falsescore>
|
|
|
2780 |
<falsepenalty></falsepenalty>
|
|
|
2781 |
<falsenextnode>2</falsenextnode>
|
|
|
2782 |
<falseanswernote>prt1-2-F</falseanswernote>
|
|
|
2783 |
<falsefeedback format="html">
|
|
|
2784 |
<text><![CDATA[Your answer is not in the correct form, which is \({@v@}=\cdots \mbox{ or } {@v@}=\cdots\) where numbers are fully simplified.<p><br></p>]]></text>
|
|
|
2785 |
</falsefeedback>
|
|
|
2786 |
</node>
|
|
|
2787 |
<node>
|
|
|
2788 |
<name>2</name>
|
|
|
2789 |
<answertest>AlgEquiv</answertest>
|
|
|
2790 |
<sans>foundfac2</sans>
|
|
|
2791 |
<tans>true</tans>
|
|
|
2792 |
<testoptions></testoptions>
|
|
|
2793 |
<quiet>1</quiet>
|
|
|
2794 |
<truescoremode>+</truescoremode>
|
|
|
2795 |
<truescore>0.0000000</truescore>
|
|
|
2796 |
<truepenalty></truepenalty>
|
|
|
2797 |
<truenextnode>-1</truenextnode>
|
|
|
2798 |
<trueanswernote>prt1-3-T</trueanswernote>
|
|
|
2799 |
<truefeedback format="html">
|
|
|
2800 |
<text></text>
|
|
|
2801 |
</truefeedback>
|
|
|
2802 |
<falsescoremode>=</falsescoremode>
|
|
|
2803 |
<falsescore>0.0000000</falsescore>
|
|
|
2804 |
<falsepenalty></falsepenalty>
|
|
|
2805 |
<falsenextnode>-1</falsenextnode>
|
|
|
2806 |
<falseanswernote>prt1-3-F</falseanswernote>
|
|
|
2807 |
<falsefeedback format="html">
|
|
|
2808 |
<text><![CDATA[<p>The question asked you to solve the equation by factoring the equation. The factored form should appear as one line in your working.</p>]]></text>
|
|
|
2809 |
</falsefeedback>
|
|
|
2810 |
</node>
|
|
|
2811 |
</prt>
|
|
|
2812 |
<qtest>
|
|
|
2813 |
<testcase>1</testcase>
|
|
|
2814 |
<testinput>
|
|
|
2815 |
<name>ans1</name>
|
|
|
2816 |
<value>ta</value>
|
|
|
2817 |
</testinput>
|
|
|
2818 |
<expected>
|
|
|
2819 |
<name>prt1</name>
|
|
|
2820 |
<expectedscore>1.0000000</expectedscore>
|
|
|
2821 |
<expectedpenalty>0.0000000</expectedpenalty>
|
|
|
2822 |
<expectedanswernote>prt1-3-T</expectedanswernote>
|
|
|
2823 |
</expected>
|
|
|
2824 |
</qtest>
|
|
|
2825 |
<qtest>
|
|
|
2826 |
<testcase>2</testcase>
|
|
|
2827 |
<testinput>
|
|
|
2828 |
<name>ans1</name>
|
|
|
2829 |
<value>[p=0, (x-n1)*(x-n1) = 0, x=n1 nounor n2]</value>
|
|
|
2830 |
</testinput>
|
|
|
2831 |
<expected>
|
|
|
2832 |
<name>prt1</name>
|
|
|
2833 |
<expectedscore></expectedscore>
|
|
|
2834 |
<expectedpenalty></expectedpenalty>
|
|
|
2835 |
<expectedanswernote>NULL</expectedanswernote>
|
|
|
2836 |
</expected>
|
|
|
2837 |
</qtest>
|
|
|
2838 |
<qtest>
|
|
|
2839 |
<testcase>3</testcase>
|
|
|
2840 |
<testinput>
|
|
|
2841 |
<name>ans1</name>
|
|
|
2842 |
<value> [p=0,x-n1 = 0 nounor x-n2 = 0,x = n1 nounor x = n2]</value>
|
|
|
2843 |
</testinput>
|
|
|
2844 |
<expected>
|
|
|
2845 |
<name>prt1</name>
|
|
|
2846 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2847 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
2848 |
<expectedanswernote>prt1-3-F</expectedanswernote>
|
|
|
2849 |
</expected>
|
|
|
2850 |
</qtest>
|
|
|
2851 |
<qtest>
|
|
|
2852 |
<testcase>4</testcase>
|
|
|
2853 |
<testinput>
|
|
|
2854 |
<name>ans1</name>
|
|
|
2855 |
<value>[p=0,(x-(n1+n2)/2)^2-ev((n1+n2)^2/4-n1*n2,simp)=0,(x-(n1+n2)/2)^2=ev((n1+n2)^2/4-n1*n2,simp),(x-(n1+n2)/2)=+-ev(sqrt((n1+n2)^2/4-n1*n2),simp),x=ev((n1+n2)/2+sqrt((n1+n2)^2/4-n1*n2),simp) nounor x=ev((n1+n2)/2-sqrt((n1+n2)^2/4-n1*n2),simp)] </value>
|
|
|
2856 |
</testinput>
|
|
|
2857 |
<expected>
|
|
|
2858 |
<name>prt1</name>
|
|
|
2859 |
<expectedscore>0.0000000</expectedscore>
|
|
|
2860 |
<expectedpenalty>0.1000000</expectedpenalty>
|
|
|
2861 |
<expectedanswernote>prt1-3-F</expectedanswernote>
|
|
|
2862 |
</expected>
|
|
|
2863 |
</qtest>
|
|
|
2864 |
</question>
|
|
|
2865 |
|
|
|
2866 |
<!-- question: 0 -->
|
|
|
2867 |
<question type="category">
|
|
|
2868 |
<category>
|
|
|
2869 |
<text>$course$/Default for Scratch/input_samples</text>
|
|
|
2870 |
|
|
|
2871 |
</category>
|
|
|
2872 |
</question>
|
|
|
2873 |
|
|
|
2874 |
<!-- question: 10 -->
|
|
|
2875 |
<question type="stack">
|
|
|
2876 |
<name>
|
|
|
2877 |
<text>Textarea test</text>
|
|
|
2878 |
</name>
|
|
|
2879 |
<questiontext format="html">
|
|
|
2880 |
<text><![CDATA[Dummy maths input: \({@ta@}\).<br>[[input:ans1]] [[validation:ans1]]]]></text>
|
|
|
2881 |
</questiontext>
|
|
|
2882 |
<generalfeedback format="html">
|
|
|
2883 |
<text></text>
|
|
|
2884 |
</generalfeedback>
|
|
|
2885 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
2886 |
<penalty>0.1000000</penalty>
|
|
|
2887 |
<hidden>0</hidden>
|
|
|
2888 |
<questionvariables>
|
|
|
2889 |
<text>ta:[x=1,x=2]</text>
|
|
|
2890 |
</questionvariables>
|
|
|
2891 |
<specificfeedback format="html">
|
|
|
2892 |
<text><![CDATA[[[feedback:prt1]]</p><div>]]></text>
|
|
|
2893 |
</specificfeedback>
|
|
|
2894 |
<questionnote>
|
|
|
2895 |
<text>vendor/bin/phpunit --group qtype_stack</text>
|
|
|
2896 |
</questionnote>
|
|
|
2897 |
<questionsimplify>1</questionsimplify>
|
|
|
2898 |
<assumepositive>0</assumepositive>
|
|
|
2899 |
<assumereal>0</assumereal>
|
|
|
2900 |
<prtcorrect format="html">
|
|
|
2901 |
<text>Correct answer, well done.</text>
|
|
|
2902 |
</prtcorrect>
|
|
|
2903 |
<prtpartiallycorrect format="html">
|
|
|
2904 |
<text>Your answer is partially correct.</text>
|
|
|
2905 |
</prtpartiallycorrect>
|
|
|
2906 |
<prtincorrect format="html">
|
|
|
2907 |
<text>Incorrect answer.</text>
|
|
|
2908 |
</prtincorrect>
|
|
|
2909 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
2910 |
<sqrtsign>1</sqrtsign>
|
|
|
2911 |
<complexno>i</complexno>
|
|
|
2912 |
<inversetrig>cos-1</inversetrig>
|
|
|
2913 |
<matrixparens>[</matrixparens>
|
|
|
2914 |
<variantsselectionseed></variantsselectionseed>
|
|
|
2915 |
<input>
|
|
|
2916 |
<name>ans1</name>
|
|
|
2917 |
<type>textarea</type>
|
|
|
2918 |
<tans>ta</tans>
|
|
|
2919 |
<boxsize>15</boxsize>
|
|
|
2920 |
<strictsyntax>1</strictsyntax>
|
|
|
2921 |
<insertstars>1</insertstars>
|
|
|
2922 |
<syntaxhint></syntaxhint>
|
|
|
2923 |
<syntaxattribute>0</syntaxattribute>
|
|
|
2924 |
<forbidwords></forbidwords>
|
|
|
2925 |
<allowwords></allowwords>
|
|
|
2926 |
<forbidfloat>1</forbidfloat>
|
|
|
2927 |
<requirelowestterms>0</requirelowestterms>
|
|
|
2928 |
<checkanswertype>0</checkanswertype>
|
|
|
2929 |
<mustverify>1</mustverify>
|
|
|
2930 |
<showvalidation>1</showvalidation>
|
|
|
2931 |
<options></options>
|
|
|
2932 |
</input>
|
|
|
2933 |
<prt>
|
|
|
2934 |
<name>prt1</name>
|
|
|
2935 |
<value>1.0000000</value>
|
|
|
2936 |
<autosimplify>1</autosimplify>
|
|
|
2937 |
<feedbackvariables>
|
|
|
2938 |
<text></text>
|
|
|
2939 |
</feedbackvariables>
|
|
|
2940 |
<node>
|
|
|
2941 |
<name>0</name>
|
|
|
2942 |
<answertest>AlgEquiv</answertest>
|
|
|
2943 |
<sans>ans1</sans>
|
|
|
2944 |
<tans>ta</tans>
|
|
|
2945 |
<testoptions></testoptions>
|
|
|
2946 |
<quiet>0</quiet>
|
|
|
2947 |
<truescoremode>=</truescoremode>
|
|
|
2948 |
<truescore>1.0000000</truescore>
|
|
|
2949 |
<truepenalty></truepenalty>
|
|
|
2950 |
<truenextnode>-1</truenextnode>
|
|
|
2951 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
2952 |
<truefeedback format="html">
|
|
|
2953 |
<text></text>
|
|
|
2954 |
</truefeedback>
|
|
|
2955 |
<falsescoremode>=</falsescoremode>
|
|
|
2956 |
<falsescore>0.0000000</falsescore>
|
|
|
2957 |
<falsepenalty></falsepenalty>
|
|
|
2958 |
<falsenextnode>-1</falsenextnode>
|
|
|
2959 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
2960 |
<falsefeedback format="html">
|
|
|
2961 |
<text></text>
|
|
|
2962 |
</falsefeedback>
|
|
|
2963 |
</node>
|
|
|
2964 |
</prt>
|
|
|
2965 |
</question>
|
|
|
2966 |
|
|
|
2967 |
<!-- question: 11 -->
|
|
|
2968 |
<question type="stack">
|
|
|
2969 |
<name>
|
|
|
2970 |
<text>True/false</text>
|
|
|
2971 |
</name>
|
|
|
2972 |
<questiontext format="html">
|
|
|
2973 |
<text><![CDATA[<p>All generalizations are false: [[input:ans1]] [[validation:ans1]]</p><p><br></p>]]></text>
|
|
|
2974 |
</questiontext>
|
|
|
2975 |
<generalfeedback format="html">
|
|
|
2976 |
<text></text>
|
|
|
2977 |
</generalfeedback>
|
|
|
2978 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
2979 |
<penalty>0.1000000</penalty>
|
|
|
2980 |
<hidden>0</hidden>
|
|
|
2981 |
<questionvariables>
|
|
|
2982 |
<text></text>
|
|
|
2983 |
</questionvariables>
|
|
|
2984 |
<specificfeedback format="html">
|
|
|
2985 |
<text>[[feedback:prt1]]</text>
|
|
|
2986 |
</specificfeedback>
|
|
|
2987 |
<questionnote>
|
|
|
2988 |
<text></text>
|
|
|
2989 |
</questionnote>
|
|
|
2990 |
<questionsimplify>1</questionsimplify>
|
|
|
2991 |
<assumepositive>0</assumepositive>
|
|
|
2992 |
<assumereal>0</assumereal>
|
|
|
2993 |
<prtcorrect format="html">
|
|
|
2994 |
<text>Correct answer, well done.</text>
|
|
|
2995 |
</prtcorrect>
|
|
|
2996 |
<prtpartiallycorrect format="html">
|
|
|
2997 |
<text>Your answer is partially correct.</text>
|
|
|
2998 |
</prtpartiallycorrect>
|
|
|
2999 |
<prtincorrect format="html">
|
|
|
3000 |
<text>Incorrect answer.</text>
|
|
|
3001 |
</prtincorrect>
|
|
|
3002 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
3003 |
<sqrtsign>1</sqrtsign>
|
|
|
3004 |
<complexno>i</complexno>
|
|
|
3005 |
<inversetrig>cos-1</inversetrig>
|
|
|
3006 |
<matrixparens>[</matrixparens>
|
|
|
3007 |
<variantsselectionseed></variantsselectionseed>
|
|
|
3008 |
<input>
|
|
|
3009 |
<name>ans1</name>
|
|
|
3010 |
<type>boolean</type>
|
|
|
3011 |
<tans>false</tans>
|
|
|
3012 |
<boxsize>15</boxsize>
|
|
|
3013 |
<strictsyntax>1</strictsyntax>
|
|
|
3014 |
<insertstars>0</insertstars>
|
|
|
3015 |
<syntaxhint></syntaxhint>
|
|
|
3016 |
<syntaxattribute>0</syntaxattribute>
|
|
|
3017 |
<forbidwords></forbidwords>
|
|
|
3018 |
<allowwords></allowwords>
|
|
|
3019 |
<forbidfloat>1</forbidfloat>
|
|
|
3020 |
<requirelowestterms>0</requirelowestterms>
|
|
|
3021 |
<checkanswertype>0</checkanswertype>
|
|
|
3022 |
<mustverify>1</mustverify>
|
|
|
3023 |
<showvalidation>1</showvalidation>
|
|
|
3024 |
<options></options>
|
|
|
3025 |
</input>
|
|
|
3026 |
<prt>
|
|
|
3027 |
<name>prt1</name>
|
|
|
3028 |
<value>1.0000000</value>
|
|
|
3029 |
<autosimplify>1</autosimplify>
|
|
|
3030 |
<feedbackvariables>
|
|
|
3031 |
<text></text>
|
|
|
3032 |
</feedbackvariables>
|
|
|
3033 |
<node>
|
|
|
3034 |
<name>0</name>
|
|
|
3035 |
<answertest>AlgEquiv</answertest>
|
|
|
3036 |
<sans>ans1</sans>
|
|
|
3037 |
<tans>false</tans>
|
|
|
3038 |
<testoptions></testoptions>
|
|
|
3039 |
<quiet>0</quiet>
|
|
|
3040 |
<truescoremode>=</truescoremode>
|
|
|
3041 |
<truescore>0.5000000</truescore>
|
|
|
3042 |
<truepenalty></truepenalty>
|
|
|
3043 |
<truenextnode>-1</truenextnode>
|
|
|
3044 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
3045 |
<truefeedback format="html">
|
|
|
3046 |
<text><![CDATA[<p>Who knows!</p>]]></text>
|
|
|
3047 |
</truefeedback>
|
|
|
3048 |
<falsescoremode>=</falsescoremode>
|
|
|
3049 |
<falsescore>0.5000000</falsescore>
|
|
|
3050 |
<falsepenalty></falsepenalty>
|
|
|
3051 |
<falsenextnode>-1</falsenextnode>
|
|
|
3052 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
3053 |
<falsefeedback format="html">
|
|
|
3054 |
<text><![CDATA[<p>Who knows!<br></p>]]></text>
|
|
|
3055 |
</falsefeedback>
|
|
|
3056 |
</node>
|
|
|
3057 |
</prt>
|
|
|
3058 |
</question>
|
|
|
3059 |
|
|
|
3060 |
<!-- question: 12 -->
|
|
|
3061 |
<question type="stack">
|
|
|
3062 |
<name>
|
|
|
3063 |
<text>Units</text>
|
|
|
3064 |
</name>
|
|
|
3065 |
<questiontext format="html">
|
|
|
3066 |
<text><![CDATA[<p>What is gravity?</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
|
|
|
3067 |
</questiontext>
|
|
|
3068 |
<generalfeedback format="html">
|
|
|
3069 |
<text></text>
|
|
|
3070 |
</generalfeedback>
|
|
|
3071 |
<defaultgrade>1.0000000</defaultgrade>
|
|
|
3072 |
<penalty>0.1000000</penalty>
|
|
|
3073 |
<hidden>0</hidden>
|
|
|
3074 |
<questionvariables>
|
|
|
3075 |
<text>ta:9.81*m*s^-2</text>
|
|
|
3076 |
</questionvariables>
|
|
|
3077 |
<specificfeedback format="html">
|
|
|
3078 |
<text>[[feedback:prt1]]</text>
|
|
|
3079 |
</specificfeedback>
|
|
|
3080 |
<questionnote>
|
|
|
3081 |
<text></text>
|
|
|
3082 |
</questionnote>
|
|
|
3083 |
<questionsimplify>1</questionsimplify>
|
|
|
3084 |
<assumepositive>0</assumepositive>
|
|
|
3085 |
<assumereal>0</assumereal>
|
|
|
3086 |
<prtcorrect format="html">
|
|
|
3087 |
<text>Correct answer, well done.</text>
|
|
|
3088 |
</prtcorrect>
|
|
|
3089 |
<prtpartiallycorrect format="html">
|
|
|
3090 |
<text>Your answer is partially correct.</text>
|
|
|
3091 |
</prtpartiallycorrect>
|
|
|
3092 |
<prtincorrect format="html">
|
|
|
3093 |
<text>Incorrect answer.</text>
|
|
|
3094 |
</prtincorrect>
|
|
|
3095 |
<multiplicationsign>dot</multiplicationsign>
|
|
|
3096 |
<sqrtsign>1</sqrtsign>
|
|
|
3097 |
<complexno>i</complexno>
|
|
|
3098 |
<inversetrig>cos-1</inversetrig>
|
|
|
3099 |
<matrixparens>[</matrixparens>
|
|
|
3100 |
<variantsselectionseed></variantsselectionseed>
|
|
|
3101 |
<input>
|
|
|
3102 |
<name>ans1</name>
|
|
|
3103 |
<type>units</type>
|
|
|
3104 |
<tans>ta</tans>
|
|
|
3105 |
<boxsize>15</boxsize>
|
|
|
3106 |
<strictsyntax>1</strictsyntax>
|
|
|
3107 |
<insertstars>0</insertstars>
|
|
|
3108 |
<syntaxhint></syntaxhint>
|
|
|
3109 |
<syntaxattribute>0</syntaxattribute>
|
|
|
3110 |
<forbidwords></forbidwords>
|
|
|
3111 |
<allowwords></allowwords>
|
|
|
3112 |
<forbidfloat>1</forbidfloat>
|
|
|
3113 |
<requirelowestterms>0</requirelowestterms>
|
|
|
3114 |
<checkanswertype>0</checkanswertype>
|
|
|
3115 |
<mustverify>1</mustverify>
|
|
|
3116 |
<showvalidation>1</showvalidation>
|
|
|
3117 |
<options></options>
|
|
|
3118 |
</input>
|
|
|
3119 |
<prt>
|
|
|
3120 |
<name>prt1</name>
|
|
|
3121 |
<value>1.0000000</value>
|
|
|
3122 |
<autosimplify>1</autosimplify>
|
|
|
3123 |
<feedbackvariables>
|
|
|
3124 |
<text></text>
|
|
|
3125 |
</feedbackvariables>
|
|
|
3126 |
<node>
|
|
|
3127 |
<name>0</name>
|
|
|
3128 |
<answertest>Units</answertest>
|
|
|
3129 |
<sans>ans1</sans>
|
|
|
3130 |
<tans>ta</tans>
|
|
|
3131 |
<testoptions>3</testoptions>
|
|
|
3132 |
<quiet>0</quiet>
|
|
|
3133 |
<truescoremode>=</truescoremode>
|
|
|
3134 |
<truescore>1.0000000</truescore>
|
|
|
3135 |
<truepenalty></truepenalty>
|
|
|
3136 |
<truenextnode>-1</truenextnode>
|
|
|
3137 |
<trueanswernote>prt1-1-T</trueanswernote>
|
|
|
3138 |
<truefeedback format="html">
|
|
|
3139 |
<text></text>
|
|
|
3140 |
</truefeedback>
|
|
|
3141 |
<falsescoremode>=</falsescoremode>
|
|
|
3142 |
<falsescore>0.0000000</falsescore>
|
|
|
3143 |
<falsepenalty></falsepenalty>
|
|
|
3144 |
<falsenextnode>-1</falsenextnode>
|
|
|
3145 |
<falseanswernote>prt1-1-F</falseanswernote>
|
|
|
3146 |
<falsefeedback format="html">
|
|
|
3147 |
<text></text>
|
|
|
3148 |
</falsefeedback>
|
|
|
3149 |
</node>
|
|
|
3150 |
</prt>
|
|
|
3151 |
</question>
|
|
|
3152 |
|
|
|
3153 |
</quiz>
|