<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="stack">
    <name>
      <text>2.6.3.4 Describe regions</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise</p>
<p>Describe the regions defined by the following inequalities.</p>

<ol class="HELM_parts">
    <li>
        <p>The inequality {@c1@} describes [[input:ans1]] [[validation:ans1]][[feedback:prt1]] which has radius \(r = \) [[input:ans2]] [[validation:ans2]][[feedback:prt2]]</p>
    </li>

    <li>
        <p>The inequality {@c2@} describes [[input:ans3]] [[validation:ans3]][[feedback:prt3]] which has radius \(r = \) [[input:ans4]] [[validation:ans4]][[feedback:prt4]]</p>
    </li>

    <li>
        <p>The inequalities (a) and (b) together describe [[input:ans5]] [[validation:ans5]][[feedback:prt5]]</p>
    </li>

</ol>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<ol class="HELM_parts">
    <li>
        <p>The inequality {@c1@} describes the region outside the circumference of the circle centered at the origin which has radius \(r = {@ta2@}.\) </p>
    </li>

    <li>
        <p>The inequality {@c2@} describes the region inside the circle centered at the origin which has radius \(r = {@ta4@}.\)</p>
    </li>

    <li>
        <p>The inequality \( {@r1^2@} &lt; x^2+y^2&lt; {@r2^2@} \) describes the annular ring between these two circles.</p>
    </li>

</ol>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.1</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <stackversion>
      <text>2021120900</text>
    </stackversion>
    <questionvariables>
      <text><![CDATA[r1: rand(5)+1
r2: r1+2;

c1: x^2+y^2>r1^2;
c2: x^2+y^2<r2^2;

ta1:[[a,true,"the region outside the circumference of the circle centered at the origin"], [b,false,"the region inside the circle centered at the origin"]];
ta2: r1;

ta3:[[a,false,"the region outside the circumference of the circle centered at the origin"], [b,true,"the region inside the circle centered at the origin"]];
ta4: r2;

ta5:[[a,false,"the region outside the circumference of the larger circle"], [b,false,"the region inside the smaller circle"], [c, true, "the annular ring between these two circles"]];]]></text>
    </questionvariables>
    <specificfeedback format="html">
      <text/>
    </specificfeedback>
    <questionnote format="moodle_auto_format">
      <text>{@c1@}, {@c2@}</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>dot</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>dropdown</type>
      <tans>ta1</tans>
      <boxsize>15</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords/>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
      <requirelowestterms>0</requirelowestterms>
      <checkanswertype>0</checkanswertype>
      <mustverify>0</mustverify>
      <showvalidation>0</showvalidation>
      <options/>
    </input>
    <input>
      <name>ans2</name>
      <type>algebraic</type>
      <tans>ta2</tans>
      <boxsize>3</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords/>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
      <requirelowestterms>0</requirelowestterms>
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      <mustverify>1</mustverify>
      <showvalidation>3</showvalidation>
      <options/>
    </input>
    <input>
      <name>ans3</name>
      <type>dropdown</type>
      <tans>ta3</tans>
      <boxsize>15</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
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      <requirelowestterms>0</requirelowestterms>
      <checkanswertype>0</checkanswertype>
      <mustverify>0</mustverify>
      <showvalidation>0</showvalidation>
      <options/>
    </input>
    <input>
      <name>ans4</name>
      <type>algebraic</type>
      <tans>ta4</tans>
      <boxsize>3</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords/>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
      <requirelowestterms>0</requirelowestterms>
      <checkanswertype>0</checkanswertype>
      <mustverify>1</mustverify>
      <showvalidation>3</showvalidation>
      <options/>
    </input>
    <input>
      <name>ans5</name>
      <type>dropdown</type>
      <tans>ta5</tans>
      <boxsize>15</boxsize>
      <strictsyntax>1</strictsyntax>
      <insertstars>0</insertstars>
      <syntaxhint/>
      <syntaxattribute>0</syntaxattribute>
      <forbidwords/>
      <allowwords/>
      <forbidfloat>1</forbidfloat>
      <requirelowestterms>0</requirelowestterms>
      <checkanswertype>0</checkanswertype>
      <mustverify>0</mustverify>
      <showvalidation>0</showvalidation>
      <options/>
    </input>
    <prt>
      <name>prt1</name>
      <value>1.0000000</value>
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      <feedbackstyle>1</feedbackstyle>
      <feedbackvariables>
        <text/>
      </feedbackvariables>
      <node>
        <name>0</name>
        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>ans1</sans>
        <tans>a</tans>
        <testoptions/>
        <quiet>0</quiet>
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        <truescore>1.0000000</truescore>
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    </prt>
    <prt>
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      <value>1.0000000</value>
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      <node>
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        <answertest>AlgEquiv</answertest>
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        <tans>ta2</tans>
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    </prt>
    <prt>
      <name>prt3</name>
      <value>1.0000000</value>
      <autosimplify>1</autosimplify>
      <feedbackstyle>1</feedbackstyle>
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        <text/>
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      <node>
        <name>0</name>
        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>ans3</sans>
        <tans>b</tans>
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    </prt>
    <prt>
      <name>prt4</name>
      <value>1.0000000</value>
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      <node>
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        <answertest>AlgEquiv</answertest>
        <sans>ans4</sans>
        <tans>ta4</tans>
        <testoptions/>
        <quiet>0</quiet>
        <truescoremode>=</truescoremode>
        <truescore>1.0000000</truescore>
        <truepenalty/>
        <truenextnode>-1</truenextnode>
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        <falsescore>0.0000000</falsescore>
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        <falseanswernote>prt4-1-F</falseanswernote>
        <falsefeedback format="html">
          <text/>
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    </prt>
    <prt>
      <name>prt5</name>
      <value>1.0000000</value>
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      <node>
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        <description/>
        <answertest>AlgEquiv</answertest>
        <sans>ans5</sans>
        <tans>c</tans>
        <testoptions/>
        <quiet>0</quiet>
        <truescoremode>=</truescoremode>
        <truescore>1.0000000</truescore>
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        <truenextnode>-1</truenextnode>
        <trueanswernote>prt5-1-T</trueanswernote>
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        <falsescoremode>=</falsescoremode>
        <falsescore>0.0000000</falsescore>
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        <falseanswernote>prt5-1-F</falseanswernote>
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          <text/>
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    <qtest>
      <testcase>1</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>first(mcq_correct(ta1))</value>
      </testinput>
      <testinput>
        <name>ans2</name>
        <value>ta2</value>
      </testinput>
      <testinput>
        <name>ans3</name>
        <value>first(mcq_correct(ta3))</value>
      </testinput>
      <testinput>
        <name>ans4</name>
        <value>ta4</value>
      </testinput>
      <testinput>
        <name>ans5</name>
        <value>first(mcq_correct(ta5))</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt1-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt2</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt2-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt3</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt3-1-T</expectedanswernote>
      </expected>
      <expected>
        <name>prt4</name>
        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt4-1-T</expectedanswernote>
      </expected>
      <expected>
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        <expectedscore>1.0000000</expectedscore>
        <expectedpenalty>0.0000000</expectedpenalty>
        <expectedanswernote>prt5-1-T</expectedanswernote>
      </expected>
    </qtest>
    <qtest>
      <testcase>2</testcase>
      <description/>
      <testinput>
        <name>ans1</name>
        <value>first(mcq_incorrect(ta1))</value>
      </testinput>
      <testinput>
        <name>ans2</name>
        <value>ev(ta2+1,simp)</value>
      </testinput>
      <testinput>
        <name>ans3</name>
        <value>first(mcq_incorrect(ta3))</value>
      </testinput>
      <testinput>
        <name>ans4</name>
        <value>ev(ta4+1,simp)</value>
      </testinput>
      <testinput>
        <name>ans5</name>
        <value>first(mcq_incorrect(ta5))</value>
      </testinput>
      <expected>
        <name>prt1</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt1-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt2</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt2-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt3</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt3-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt4</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt4-1-F</expectedanswernote>
      </expected>
      <expected>
        <name>prt5</name>
        <expectedscore>0.0000000</expectedscore>
        <expectedpenalty>0.1000000</expectedpenalty>
        <expectedanswernote>prt5-1-F</expectedanswernote>
      </expected>
    </qtest>
  </question>
</quiz>
