<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="stack">
    <name>
      <text>10.3.9 (Which are correct antiderivs)</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="noindent">Which of the following are antiderivatives of {@(n+1)*x^n@}?<br></p>  
 [[input:ans1]] [[validation:ans1]]]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p>We can check in each case by differentiating. If the result is {@(n+1)*x^n@}, then the expression is an antiderivative of {@(n+1)*x^n@}.</p>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.1</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <stackversion>
      <text>2020081700</text>
    </stackversion>
    <questionvariables>
      <text>n:rand([3,4,5,6]);
corbase:[x^(n+1),x^(n+1)+n,x^(n+1)+1,x^(n+1)+C];
wrongbase:[n*(n+1)*x^(n-1),n*(n+1)*x^(n-1)+x,(n+1)*x^(n+1),x^(n)];
mcq:multiselqnalpha(corbase, 3, wrongbase, 3);
ta1:mcq[1]
version:mcq[2];
corr1:mcq_correct(ta1);
incorr1:mcq_incorrect(ta1);</text>
    </questionvariables>
    <specificfeedback format="html">
      <text>[[feedback:prt1]]</text>
    </specificfeedback>
    <questionnote format="moodle_auto_format">
      <text>{#n#} {#version#}</text>
    </questionnote>
    <questiondescription format="moodle_auto_format">
      <text/>
    </questiondescription>
    <questionsimplify>1</questionsimplify>
    <assumepositive>0</assumepositive>
    <assumereal>0</assumereal>
    <prtcorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:green;"><i class="fa fa-check"></i></span> Correct answer, well done.]]></text>
    </prtcorrect>
    <prtpartiallycorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:orange;"><i class="fa fa-adjust"></i></span> Your answer is partially correct.]]></text>
    </prtpartiallycorrect>
    <prtincorrect format="html">
      <text><![CDATA[<span style="font-size: 1.5em; color:red;"><i class="fa fa-times"></i></span> Incorrect answer.]]></text>
    </prtincorrect>
    <decimals>.</decimals>
    <scientificnotation>*10</scientificnotation>
    <multiplicationsign>none</multiplicationsign>
    <sqrtsign>1</sqrtsign>
    <complexno>i</complexno>
    <inversetrig>cos-1</inversetrig>
    <logicsymbol>lang</logicsymbol>
    <matrixparens>[</matrixparens>
    <isbroken>0</isbroken>
    <variantsselectionseed/>
    <input>
      <name>ans1</name>
      <type>checkbox</type>
      <tans>ta1</tans>
      <boxsize>15</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords/>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
      <requirelowestterms>1</requirelowestterms>
      <checkanswertype>0</checkanswertype>
      <mustverify>0</mustverify>
      <showvalidation>0</showvalidation>
      <options/>
    </input>
    <prt>
      <name>prt1</name>
      <value>1.0000000</value>
      <autosimplify>0</autosimplify>
      <feedbackstyle>1</feedbackstyle>
      <feedbackvariables>
        <text/>
      </feedbackvariables>
      <node>
        <name>0</name>
        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>setify(ans1)</sans>
        <tans>setify(corr1)</tans>
        <testoptions/>
        <quiet>1</quiet>
        <truescoremode>=</truescoremode>
        <truescore>1.0000000</truescore>
        <truepenalty>0</truepenalty>
        <truenextnode>-1</truenextnode>
        <trueanswernote>prt1-0-T</trueanswernote>
        <truefeedback format="html">
          <text/>
        </truefeedback>
        <falsescoremode>=</falsescoremode>
        <falsescore>0.0000000</falsescore>
        <falsepenalty>0.1</falsepenalty>
        <falsenextnode>1</falsenextnode>
        <falseanswernote>prt1-0-F</falseanswernote>
        <falsefeedback format="html">
          <text/>
        </falsefeedback>
      </node>
      <node>
        <name>1</name>
        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>subsetp(setify(ans1),setify(corr1))</sans>
        <tans>true</tans>
        <testoptions/>
        <quiet>0</quiet>
        <truescoremode>+</truescoremode>
        <truescore>0.5000000</truescore>
        <truepenalty/>
        <truenextnode>-1</truenextnode>
        <trueanswernote>prt1-2-T</trueanswernote>
        <truefeedback format="html">
          <text><![CDATA[<p>You have correctly identified one of the correct answers, but missed \({@setdifference(setify(corr1),setify(ans1))@}\).<br></p>]]></text>
        </truefeedback>
        <falsescoremode>-</falsescoremode>
        <falsescore>0.0000000</falsescore>
        <falsepenalty/>
        <falsenextnode>2</falsenextnode>
        <falseanswernote>prt1-2-F</falseanswernote>
        <falsefeedback format="html">
          <text/>
        </falsefeedback>
      </node>
      <node>
        <name>2</name>
        <description/>
        <answertest>CasEqual</answertest>
        <sans>cardinality(ev(intersection(setify(incorr1),setify(ans1)),simp))</sans>
        <tans>0</tans>
        <testoptions/>
        <quiet>0</quiet>
        <truescoremode>+</truescoremode>
        <truescore>0.0000000</truescore>
        <truepenalty/>
        <truenextnode>-1</truenextnode>
        <trueanswernote>prt1-3-T</trueanswernote>
        <truefeedback format="html">
          <text><![CDATA[<p><br></p><p>{@setify(ans1)@}<br></p><p>{@(intersection(setify(incorr),setify(ans1)))@}<br></p><p>{@cardinality(intersection(setify(incorr),setify(ans1)))@}</p>]]></text>
        </truefeedback>
        <falsescoremode>-</falsescoremode>
        <falsescore>0.0000000</falsescore>
        <falsepenalty/>
        <falsenextnode>-1</falsenextnode>
        <falseanswernote>prt1-3-F</falseanswernote>
        <falsefeedback format="html">
          <text><![CDATA[<p>You incorrectly selected {@(setdifference(setify(ans1),setify(corr1)))@}<br></p>]]></text>
        </falsefeedback>
      </node>
    </prt>
    <deployedseed>1597452459</deployedseed>
    <deployedseed>1847362648</deployedseed>
    <deployedseed>1310231355</deployedseed>
    <deployedseed>806808639</deployedseed>
    <deployedseed>764353248</deployedseed>
    <deployedseed>905225761</deployedseed>
    <deployedseed>1782485317</deployedseed>
    <deployedseed>505621221</deployedseed>
    <deployedseed>1262452298</deployedseed>
    <deployedseed>1621841740</deployedseed>
    <deployedseed>1245174467</deployedseed>
    <deployedseed>247308542</deployedseed>
    <deployedseed>885329938</deployedseed>
    <deployedseed>1798540918</deployedseed>
    <deployedseed>64731806</deployedseed>
    <deployedseed>50701153</deployedseed>
    <deployedseed>1461888304</deployedseed>
    <deployedseed>1265055997</deployedseed>
    <deployedseed>1389423918</deployedseed>
    <deployedseed>1681845066</deployedseed>
    <qtest>
      <testcase>1</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>[incorr1[1]]</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt1-3-F</expectedanswernote>
      </expected>
    </qtest>
    <qtest>
      <testcase>2</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>corr1</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt1-0-T</expectedanswernote>
      </expected>
    </qtest>
    <qtest>
      <testcase>3</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>[corr1[1],incorr1[1]]</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt1-3-F</expectedanswernote>
      </expected>
    </qtest>
    <tags>
      <tag><text>multiselqnalpha</text>
</tag>
    </tags>
  </question>
</quiz>
