From: Chris S. <san...@us...> - 2010-09-29 16:02:58
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Update of /cvsroot/stack/stack-dev/sample_questions/diagnostictests In directory sfp-cvsdas-3.v30.ch3.sourceforge.com:/tmp/cvs-serv6052/sample_questions/diagnostictests Modified Files: Tag: STACK2_2 DiagnosticTests.xml Log Message: Index: DiagnosticTests.xml =================================================================== RCS file: /cvsroot/stack/stack-dev/sample_questions/diagnostictests/Attic/DiagnosticTests.xml,v retrieving revision 1.1.2.2 retrieving revision 1.1.2.3 diff -C2 -d -r1.1.2.2 -r1.1.2.3 *** DiagnosticTests.xml 6 Sep 2010 08:18:39 -0000 1.1.2.2 --- DiagnosticTests.xml 29 Sep 2010 16:02:37 -0000 1.1.2.3 *************** *** 1,23 **** <?xml version="1.0" encoding="UTF-8"?> ! <mathQuiz version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><assessmentItem version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext>Katie's basic wage is £@n@ per week.<p> ! She is also paid another £@m@ for each hour of overtime that she works.<p> ! If \(h\) stands for the number of hours of overtime that she works, and if \(W\) stands for her total wage (in £s). Write down an equation relating \(W\) and \(h\): #ans1# </p> <IEfeedback>ans1</IEfeedback><p> <PRTfeedback>1</PRTfeedback> ! What would Katie's total wage be if she worked @p@ hours of overtime? £#ans2#</p> <IEfeedback>ans2</IEfeedback><PRTfeedback>2</PRTfeedback> - <p>How confident are you (as a %)? #con1# <IEfeedback>con1</IEfeedback></p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>n = (rand(4) + 1) * 100; m = rand(5) + 2; p = rand(5) + 2; q = m * p; ta = n + m*p</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>To first work out the equation relating \(W\) and \(h\) we look at the information we are given.<p> - We know that \(W\) stands for her total wage, so that will be on one side of the equation, on the other we have to put her basic wage and take into account any overtime she may work. Given that she is paid £@m@ for every hour overtime and she works \(h\) hours of over time she gets paid an extra \(@m@ \times h\), and that is on top of the basic wage of £@n@. So the equation is:</p> \[ @n@ + @m@h = W. \] - For the second part of the question we have to calculate Katie's actual wage given that she worked @p@ hours of overtime. So we must replace \(h\) in our equation with the value @p@ and simplify, i.e. we get: \[\begin{array}{rcl}\displaystyle ! W &\displaystyle =&\displaystyle @n@ + @m@h, \\ ! W &\displaystyle =&\displaystyle @n@ + (@m@ \times @p@), \\ ! W &\displaystyle =&\displaystyle @n@ + @q@, \\ ! W &\displaystyle =&\displaystyle @ta@. \end{array}\] ! </castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>\[\begin{array}{rcl}\displaystyle ! @n@ + @m@h &\displaystyle =&\displaystyle W, \\ ! @n@ + @m@\cdot@p@ &\displaystyle =&\displaystyle @ta@. ! \end{array}\] </castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans1</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>20</boxsize><teachersAns type="CasString"><casString>n + m*h = W</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans1</studentAnsKey><syntax 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xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext>If \( @p@\circ @q@ \) is defined to mean @r@, what must @p@ equal for \( @p@\circ @q@ = @q@\circ @p@ \) to be true? <p> @p@=#ans1# --- 1,92 ---- <?xml version="1.0" encoding="UTF-8"?> ! <mathQuiz version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><assessmentItem version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext>In a railway journey of \(90km\) an increase of \(5\) kilometers per hour in the speed decreases the time taken by \(15\) minutes. ! ! <p>Write a system of equations (one equation per line) to represent this situation using \(v\) as the speed of the train and \(t\) as the time. ! <br /> ! #asys# <IEfeedback>asys</IEfeedback> <PRTfeedback>1</PRTfeedback> ! <p>Eliminate \(t\) from your equations, writing a single equation only in \(v\) which represents this situation. ! <br /> ! #veqn# <IEfeedback>veqn</IEfeedback> ! <PRTfeedback>2</PRTfeedback> ! ! <p>What is the velocity? ! #ansv# <IEfeedback>ansv</IEfeedback> ! <PRTfeedback>3</PRTfeedback> ! ! <p>How confident are you (as a %)? #con1# <IEfeedback>con1</IEfeedback></p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>ta = [v*t=90 , (v+5)*(t-15/60)=90]; tsys = maplist(stack_eqnprepare,ta); tsys1 = maplist(stack_eqnprepare,[v*t=90 , (v+5)*(t-15)=90])</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>Let \(v\) be the speed of the train, \(d\) the distance travelled and \(t\) time. If \(t\) is the time (in hours) then \(15\) minutes is \(\frac{1}{4}\) hour. ! ! <p>We need to use the equation \(d=v\times t\) twice. ! ! <p>For the original journey we have ! \[ 90 = v\times t.\] ! 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type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>20</boxsize><teachersAns type="CasString"><casString>v^2+5*v-1800=0</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>veqn</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart><questionpart><name>con1</name><inputType type="Meta"><selection>Slider</selection><default>Algebraic Input</default><values/></inputType><boxsize>200</boxsize><teachersAns type="CasString"><casString>0</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>con1</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart></questionparts><PotentialResponseTrees><PotentialResponseTree><prtname>PotResTree_3</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables></feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>40</teachersAns><studentAns>ansv</studentAns><testoptions></testoptions><quietAnsTest>1</quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>EQN-QUD-TRUE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>EQN-QUD-FALSE</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>GT</answerTest><teachersAns>ansv</teachersAns><studentAns>0</studentAns><testoptions></testoptions><quietAnsTest>1</quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>WRD-FALSE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>ALG-FEQ-2-FALSE</ansnote><nextPR>-1</nextPR></false><teacherNote></teacherNote></PR></PotentialResponses></PotentialResponseTree><PotentialResponseTree><prtname>PotResTree_2</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables></feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>v^2+5*v-1800=0</teachersAns><studentAns>veqn</studentAns><testoptions></testoptions><quietAnsTest>1</quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>EQN-SIM-TRUE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>EQN-SIM-FALSE</ansnote><nextPR>-1</nextPR></false><teacherNote></teacherNote></PR></PotentialResponses></PotentialResponseTree><PotentialResponseTree><prtname>PotResTree_1</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables>S0 = stack_eval_assignments(exdowncase(asys)); S0 = maplist(stack_eqnprepare,S0); res = stack_eqncompare(S0,tsys,[v,t]); lv = listofvars(exdowncase(asys))</feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>res</studentAns><testoptions></testoptions><quietAnsTest>1</quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>ALG-FEQ-TRUE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>ALG-FEQ-FALSE</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>stack_eqncompare(S0,tsys1,[v,t])</studentAns><testoptions></testoptions><quietAnsTest>1</quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>TIME_UNITS_FALSE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>ALG-FEQ-FALSE</ansnote><nextPR>2</nextPR></false><teacherNote></teacherNote></PR><PR id="2"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>elementp(vt,setify(lv))</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>Please use explicit multiplication <tt>v*t</tt>. STACK thinks your <tt>vt</tt> is a single variable! Please try again.</feedback><ansnote>MISSING *</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>ALG-FEQ-FALSE</ansnote><nextPR>-1</nextPR></false><teacherNote></teacherNote></PR></PotentialResponses></PotentialResponseTree></PotentialResponseTrees><MetaData><dc:Publisher stackname="lastUserEditor" type="Meta"><selection></selection><default></default><values/></dc:Publisher><dc:language stackname="language" type="Meta"><selection>en</selection><default>en</default><values><value key="en">en</value><value key="fr">fr</value><value key="nl">nl</value><value key="es">es</value><value key="unspecified">Unspecified</value></values></dc:language><dc:title stackname="questionName" type="Meta"><selection>Diagnostic_EQN-SIM_1</selection><default></default><values/></dc:title><dc:description stackname="questionDescription" type="Meta"><selection>Write and solve a system of equations (railway problem).</selection><default></default><values/></dc:description><dc:publisher stackname="questionPublisher" type="Meta"><selection>http://localhost/stack-dev</selection><default>http://matsrv6.bham.ac.uk/stem</default><values/></dc:publisher><dc:format stackname="questionFormat" type="Meta"><selection>text/xml; charset="utf-8"</selection><default>text/xml; charset="utf-8"</default><values><value key="0">application</value><value key="1">audio</value><value key="2">image</value><value key="3">message</value><value key="4">model</value><value key="5">text</value><value key="6">video</value><value key="7">multipart</value></values></dc:format><lom:context stackname="questionLearningContext" type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="PrimaryEducation">Primary Education</value><value key="SecondaryEducation">Secondary Education</value><value key="HigherEducation">Higher Education</value><value key="UniversityFirstCycle">University First 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type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="Think">Think</value><value key="Argue">Argue</value><value key="Solve">Solve</value><value key="Represent">Represent</value><value key="Language">Language</value><value key="Communicate">Communicate</value><value key="Tools">Tools</value><value key="unspecified">Unspecified</value></values></questionCompetency><questionCompentencyLevel type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="Elementary">Elementary</value><value key="SimpleConceptual">Simple conceptual</value><value key="Multi-step">Multi-step</value><value key="Complex">Complex</value><value key="unspecified">Unspecified</value></values></questionCompentencyLevel><lom:typicallearningtime stackname="questionTimeAllocated" type="Meta"><selection>00:00:00</selection><default>00:00:00</default><values/></lom:typicallearningtime><dc:rights stackname="questionRights" type="Meta"><selection>http://www.gnu.org/copyleft/gpl.html</selection><default>http://www.gnu.org/copyleft/gpl.html</default><values/></dc:rights><questionExerciseType type="Meta"><selection>AlgebraicExpression</selection><default>AlgebraicExpression</default><values><value key="AlgebraicExpression">Algebraic Expression</value><value key="MCQSingleAnswer">MCQ Single Answer</value><value key="MCQMultpleAnswer">MCQ Multiple Answer</value><value key="FillInBlank">Fill in blank</value><value key="Unspecified">Unspecified</value></values></questionExerciseType><dc:date stackname="questionDateLastEdited" type="Meta"><selection>2010-09-29 18:00:53</selection><default>2010-08-18 11:27:03</default><values/></dc:date><lom:status stackname="questionStatus" type="Meta"><selection>Draft</selection><default>Draft</default><values><value key="Draft">Draft</value><value key="Deployed">Deployed</value><value key="Buggy">Buggy</value></values></lom:status><published type="Meta"><selection>Published</selection><default>Unpublished</default><values><value key="Unpublished">Unpublished</value><value key="Published">Published</value><value key="Private">Private</value></values></published><lom:keyword stackname="keywords" type="Meta"><selection>foundation, diagnostic, ALG-FEQ, EQN-QUD, equation, WRP, EQN-SIM, Birmingham, example, railway</selection><default>foundation, diagnostic, ALG-FEQ, EQN-QUD, equation, WRP, EQN-SIM, Birmingham, example, 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Answer</value><value>Last Answer</value></values><casKey></casKey><casType></casType><selected>Penalty</selected></stackoption><stackoption><name>AssumePos</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey>assume_pos</casKey><casType>ex</casType><selected>false</selected></stackoption><stackoption><name>TeacherEmail</name><type>string</type><default>s.h...@bh...</default><casKey></casKey><casType></casType><selected></selected></stackoption><stackoption><name>Feedback</name><type>list</type><default>TGS</default><values><value>TGS</value><value>TG</value><value>GS</value><value>T</value><value>G</value><value>S</value><value>none</value></values><casKey></casKey><casType></casType><selected>TG</selected></stackoption><stackoption><name>FeedbackGenericCorrect</name><type>html</type><default><span class='correct'>Correct answer, well done.</span></default><casKey></casKey><casType></casType><selected><span class='correct'>Correct answer, well done.</span></selected></stackoption><stackoption><name>FeedbackGenericIncorrect</name><type>html</type><default><span class='incorrect'>Incorrect answer.</span></default><casKey></casKey><casType></casType><selected><span class='incorrect'>Incorrect answer.</span></selected></stackoption><stackoption><name>FeedbackGenericPCorrect</name><type>html</type><default><span class='partially'>Your answer is partially correct.</span></default><casKey></casKey><casType></casType><selected><span class='partially'>Your answer is partially correct.</span></selected></stackoption><stackoption><name>OptWorkedSol</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption></ItemOptions><ItemTests><test><col><key>IE_asys</key><value>[v*t=80 , 4*v*t+20*t-v=365]</value></col><col><key>IE_ansv</key><value></value></col><col><key>PRT_PotResTree_1</key><value>ALG-FEQ-FALSE</value></col><col><key>IE_veqn</key><value></value></col><col><key>PRT_PotResTree_2</key><value>NONE</value></col><col><key>PRT_PotResTree_3</key><value>NONE</value></col><col><key>IE_con1</key><value></value></col></test><test><col><key>IE_asys</key><value>[V*T=90 , (v+5)*(t-15)=90]</value></col><col><key>IE_ansv</key><value></value></col><col><key>PRT_PotResTree_1</key><value>TIME_UNITS_FALSE</value></col><col><key>IE_veqn</key><value></value></col><col><key>PRT_PotResTree_2</key><value>NONE</value></col><col><key>PRT_PotResTree_3</key><value>NONE</value></col><col><key>IE_con1</key><value></value></col></test><test><col><key>IE_asys</key><value>[d=90,d=v*t,d=(v+5)*(t-0.25)]</value></col><col><key>IE_ansv</key><value></value></col><col><key>PRT_PotResTree_1</key><value>ALG-FEQ-TRUE</value></col><col><key>IE_veqn</key><value></value></col><col><key>PRT_PotResTree_2</key><value>NONE</value></col><col><key>PRT_PotResTree_3</key><value>NONE</value></col><col><key>IE_con1</key><value></value></col></test><test><col><key>IE_asys</key><value>[90=vt,d=(v+5)*(t-0.25)]</value></col><col><key>IE_ansv</key><value></value></col><col><key>IE_veqn</key><value></value></col><col><key>IE_con1</key><value></value></col><col><key>PRT_PotResTree_3</key><value>NONE</value></col><col><key>PRT_PotResTree_2</key><value>NONE</value></col><col><key>PRT_PotResTree_1</key><value>MISSING *</value></col></test></ItemTests></assessmentItem><assessmentItem version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext>Differentiate \[@p@\] with respect to @v@. ! ! #ans1# <IEfeedback>ans1</IEfeedback> ! <PRTfeedback>Result</PRTfeedback> ! ! <p>How confident are you (as a %)? #con1# <IEfeedback>con1</IEfeedback></p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>v = x; rdm1 = rand(4)+2; rdm2 = -(2+rand(5)); rdm3 = -2-rand(2); rdm4 = rdm1+1; rdm5 = 5+rand(4); rdm6 = 3+rand(4); ppp1 = v^rdm4; ppp2 = cos(rdm5*v); ppp3 = exp(rdm6*v); pp1 = rdm1*ppp1; pp2 = rdm2*ppp2; pp3 = rdm3*ppp3; p = pp1+pp2+pp3; ta = diff(p,v); tchn = rdm5*rdm2; tchn1 = rdm6*rdm3</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>In order to solve this problem we will have to use the linearity rules for differentition. <hint>calc_diff_linearity_rule</hint> \[\begin{array}{rcl}\displaystyle ! \frac{d}{d@v@}\left[ @p@\right] &\displaystyle =&\displaystyle \frac{d}{d@v@}\left[@pp1@\right] +\frac{d}{d@v@}\left[@pp2@\right]+\frac{d}{d@v@}\left[@pp3@\right], \\ ! &\displaystyle =&\displaystyle @rdm1@\cdot \frac{d}{d@v@}[@ppp1@]+@rdm2@\cdot \frac{d}{d@v@}\left[@ppp2@\right] +@rdm3@\cdot \frac{d}{d@v@}\left[@ppp3@\right], \\ ! &\displaystyle =&\displaystyle @rdm1@\cdot [@diff(ppp1,v)@]+@rdm2@\cdot [@diff(ppp2,v)@] +@rdm3@\cdot \left[@diff(ppp3,v)@\right], \\ ! &\displaystyle =&\displaystyle @diff(p,v)@. ! \end{array}\] </castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>\[\frac{d}{d@v@}(@p@) = @ta@. \]</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans1</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>20</boxsize><teachersAns type="CasString"><casString>ta</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans1</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/><forbiddenWords><Forbid>diff</Forbid></forbiddenWords></questionpart><questionpart><name>con1</name><inputType type="Meta"><selection>Slider</selection><default>Algebraic Input</default><values/></inputType><boxsize>200</boxsize><teachersAns type="CasString"><casString>0</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>con1</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart></questionparts><PotentialResponseTrees><PotentialResponseTree><prtname>PotResTree_Result</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables>p = fullratsimp(ans1-ta)</feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>freeof(sin,p)</studentAns><testoptions>v</testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>DIF-TRG-TRUE</ansnote><nextPR>1</nextPR></true><false><rawModMark>=</rawModMark><rawMark></rawMark><feedback>It appears you haven't differentiated the trigonometric part correctly.</feedback><ansnote>DIF-TRG-FALSE</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>freeof(%e,p)</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>DIF-EXP-TRUE</ansnote><nextPR>3</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>It appears you haven't differentiated the exponential part correctly.</feedback><ansnote>DIF-EXP-FALSE</ansnote><nextPR>3</nextPR></false><teacherNote></teacherNote></PR><PR 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