qu.1.topic=Functions (Composite, Inverse)@

qu.1.1.mode=Inline@
qu.1.1.name=f+g, f-g@
qu.1.1.comment=@
qu.1.1.editing=useHTML@
qu.1.1.solution=@
qu.1.1.algorithm=$a=rint(2,6);
$b=rint(3,5);
$func1="$a*x^$b";
$c=rint(2,8);
$func2="sqrt(x-$c)";
$num=rint(2);
$plus=switch($num,"+","-");
$m = maple("
MathML[ExportPresentation]($func1),
MathML[ExportPresentation]($func2)
");
$disp1=switch(0,$m);
$disp2=switch(1,$m);
$ANS=switch($num,"$func1+$func2","$func1-$func2");
$ANSR='"[$c,infinity)"';@
qu.1.1.uid=9b86ef7c-84df-4877-a6a6-773c49fc742a@
qu.1.1.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Functions (Inverse and Composite);
  Sub-Topic=Composite;
@
qu.1.1.weighting=1,1@
qu.1.1.numbering=alpha@
qu.1.1.part.1.name=sro_id_1@
qu.1.1.part.1.maple_answer=$ANS@
qu.1.1.part.1.editing=useHTML@
qu.1.1.part.1.question=(Unset)@
qu.1.1.part.1.libname=@
qu.1.1.part.1.mode=Maple@
qu.1.1.part.1.allow2d=1@
qu.1.1.part.1.plot=@
qu.1.1.part.1.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.1.part.1.type=formula@
qu.1.1.part.2.name=sro_id_2@
qu.1.1.part.2.maple_answer=$ANSR@
qu.1.1.part.2.editing=useHTML@
qu.1.1.part.2.question=(Unset)@
qu.1.1.part.2.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.1.part.2.mode=Maple@
qu.1.1.part.2.allow2d=0@
qu.1.1.part.2.plot=@
qu.1.1.part.2.maple=grade("$RESPONSE",$ANSR)@
qu.1.1.part.2.type=maple@
qu.1.1.question=<p><font size="2">For the functions <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo></mrow></mstyle></math>$disp1 and <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>g</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo></mrow></mstyle></math>$disp2 determine the function </font><font size="2"><em>f $plus g </em>and its domain</font>.</p><p>Note: Use "infinity" for <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>&infin;</mi></mrow></mstyle></math>and "sqrt(x)" for <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msqrt><mrow><mi>x</mi></mrow></msqrt></mrow></mstyle></math>.</p><p><span><span>For the domain, enter your answer in interval notation. For example if <font size="4">0 &le; <em>x</em></font> <font size="4">< &infin;,</font> enter [0, infinity).</span></span></p><p>&nbsp;<font size="2"><em>f $plus g =&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </em></font><1><span>&nbsp;</span></p><p><span>Domain&nbsp; = <span>&nbsp;</span><2><span>&nbsp;</span></span></p>@

qu.1.2.mode=Inline@
qu.1.2.name=Inverse Function - Graphs@
qu.1.2.comment=<p>Here is the function, along with it's inverse function</p>
<p>$q</p>@
qu.1.2.editing=useHTML@
qu.1.2.solution=@
qu.1.2.algorithm=$b=range(-3,-1);
$a=-$b;
$func="(x$b)^(1/2)";
$ANS='"[$a,infinity)"';
$ANSS='"[0,infinity)"';
$m=maple("MathML[ExportPresentation]($func)");
$p=plotmaple("
p1 := plots[implicitplot]({seq(x=i, i=-1..8)}, x=-1..8, y=-1..8, colour=grey):
p2 := plots[implicitplot]({seq(y=i, i=-1..8)}, x=-1..8, y=-1..8, colour=grey):
p3 := plot($func,x=-1..8,y=-1..8, discont=true, thickness=2):
plots[display]({p1,p2,p3}), plotoptions='height=250, width=250'
");
$q=plotmaple("
p1 := plots[implicitplot]({seq(x=i, i=-1..8)}, x=-1..8, y=-1..8, colour=grey):
p2 := plots[implicitplot]({seq(y=i, i=-1..8)}, x=-1..8, y=-1..8, colour=grey):
p3 := plot($func,x=0..8,y=-1..8, discont=true, thickness=2):
p4 := plot(x,x=-1..8,y=-1..8, discont=true, thickness=1, color=blue):
p5 := plot(x^2+$a,x=0..8,y=-1..8,discont=true,thickness=2,color=red,linestyle=dash):
plots[display]({p1,p2,p3,p4,p5}), plotoptions='height=250, width=250'
");@
qu.1.2.uid=ce6c7481-e702-4d88-9c91-f4d81969f96f@
qu.1.2.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Functions (Inverse and Composite);
  Sub-Topic=Inverse Functions;
@
qu.1.2.weighting=1,1,1,1@
qu.1.2.numbering=alpha@
qu.1.2.part.1.name=sro_id_1@
qu.1.2.part.1.maple_answer=show($ANS)@
qu.1.2.part.1.editing=useHTML@
qu.1.2.part.1.question=(Unset)@
qu.1.2.part.1.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.2.part.1.mode=Maple@
qu.1.2.part.1.allow2d=0@
qu.1.2.part.1.plot=@
qu.1.2.part.1.maple=grade("$RESPONSE",$ANS);@
qu.1.2.part.1.type=maple@
qu.1.2.part.2.name=sro_id_2@
qu.1.2.part.2.maple_answer=show($ANSS)@
qu.1.2.part.2.editing=useHTML@
qu.1.2.part.2.question=(Unset)@
qu.1.2.part.2.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.2.part.2.mode=Maple@
qu.1.2.part.2.allow2d=0@
qu.1.2.part.2.plot=@
qu.1.2.part.2.maple=grade("$RESPONSE",$ANSS);@
qu.1.2.part.2.type=maple@
qu.1.2.part.3.name=sro_id_3@
qu.1.2.part.3.maple_answer=show($ANSS)@
qu.1.2.part.3.editing=useHTML@
qu.1.2.part.3.question=(Unset)@
qu.1.2.part.3.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.2.part.3.mode=Maple@
qu.1.2.part.3.allow2d=0@
qu.1.2.part.3.plot=@
qu.1.2.part.3.maple=grade("$RESPONSE",$ANSS);@
qu.1.2.part.3.type=maple@
qu.1.2.part.4.name=sro_id_4@
qu.1.2.part.4.maple_answer=show($ANS)@
qu.1.2.part.4.editing=useHTML@
qu.1.2.part.4.question=(Unset)@
qu.1.2.part.4.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.2.part.4.mode=Maple@
qu.1.2.part.4.allow2d=0@
qu.1.2.part.4.plot=@
qu.1.2.part.4.maple=grade("$RESPONSE",$ANS);@
qu.1.2.part.4.type=maple@
qu.1.2.question=<p>For a given graph of the function <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi></mrow></mstyle></math></p><p>$p</p><p>determine the</p><p>(i) domain of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math><span>&nbsp;</span><1><span>&nbsp;</span></p><p>&nbsp;&nbsp;&nbsp; range of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math><span>&nbsp;</span><2><span>&nbsp;</span></p><p>(ii) domain of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msup><mi>f</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>1</mn></mrow></msup></mrow></mstyle></math>=&nbsp; <span>&nbsp;</span><3><span>&nbsp;</span></p><p>&nbsp;&nbsp;&nbsp;&nbsp; range of <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msup><mi>f</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>1</mn></mrow></msup></mrow></mstyle></math>=&nbsp; <span>&nbsp;</span><4><span>&nbsp;</span></p><p>&nbsp;Enter your answer in interval notation. For example if 0 <font size="4">&le; </font><em>x</em> <font size="4">< &infin;,</font> enter [0, infinity).</p>@

qu.1.3.question=<p>Let <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math>$df.&nbsp; Find the inverse function <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msup><mi>f</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>1</mn></mrow></msup></mrow></mstyle></math>.</p>
<p>&nbsp;</p>@
qu.1.3.maple=evalb(simplify(($ANSWER)-($RESPONSE))=0);@
qu.1.3.allow2d=1@
qu.1.3.maple_answer=(($c*x)^$d+$b)^(1/$a)@
qu.1.3.type=formula@
qu.1.3.mode=Maple@
qu.1.3.name=Inverse Functions@
qu.1.3.comment=<p>To find the inverse, interchange <em>x</em> and <em>y</em> and solve for <em>y.</em></p>@
qu.1.3.editing=useHTML@
qu.1.3.solution=@
qu.1.3.algorithm=$a=range(3,7);
$b=range(1,9);
$c=range(4,10);
$d=range(3,8);
condition: ne($a,$b)*ne($b,$c)*ne($a,$c)*ne($d,$a)*ne($d,$b)*ne($d,$c);
$func="((x^$a-$b)^(1/$d))/$c";
$df=maple("MathML[ExportPresentation]($func)");@
qu.1.3.uid=ccd49991-55e3-43d6-a1e5-0dac4bfe62c6@
qu.1.3.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Functions (Inverse and Composite);
  Sub-Topic=Inverse;
@

qu.1.4.mode=Inline@
qu.1.4.name=f/g@
qu.1.4.comment=@
qu.1.4.editing=useHTML@
qu.1.4.solution=@
qu.1.4.algorithm=$a=rint(2,6);
$b=rint(3,5);
$d=rint(6,8);
$e=rint(2,10);
$func1="$a*x^$b+$d*x+$e";
$c=rint(2,8);
$f=rint(3,12);
$func2="sqrt($f*x-$c)";
$m = maple("
MathML[ExportPresentation]($func1),
MathML[ExportPresentation]($func2)");
$disp1 = switch(0,$m);
$disp2 = switch(1,$m);
$ANS="($func1)/($func2)";
$ANSR='"($c/$f,infinity)"';@
qu.1.4.uid=0a57278f-5a54-4a25-9d7d-c6c9985ee25d@
qu.1.4.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Functions (Inverse and Composite);
  Sub-Topic=Composite;
@
qu.1.4.weighting=1,1@
qu.1.4.numbering=alpha@
qu.1.4.part.1.name=sro_id_1@
qu.1.4.part.1.maple_answer=$ANS@
qu.1.4.part.1.editing=useHTML@
qu.1.4.part.1.question=(Unset)@
qu.1.4.part.1.libname=@
qu.1.4.part.1.mode=Maple@
qu.1.4.part.1.allow2d=1@
qu.1.4.part.1.plot=@
qu.1.4.part.1.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.4.part.1.type=formula@
qu.1.4.part.2.name=sro_id_2@
qu.1.4.part.2.maple_answer=$ANSR@
qu.1.4.part.2.editing=useHTML@
qu.1.4.part.2.question=(Unset)@
qu.1.4.part.2.libname=__BASE_URI__Library_Intervals/intervalsLib.lib@
qu.1.4.part.2.mode=Maple@
qu.1.4.part.2.allow2d=0@
qu.1.4.part.2.plot=@
qu.1.4.part.2.maple=grade("$RESPONSE",$ANSR)@
qu.1.4.part.2.type=maple@
qu.1.4.question=<p><font size="2">For the functions <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo></mrow></mstyle></math>$disp1 and <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>g</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo></mrow></mstyle></math>$disp2 determine the function&nbsp;</font><font size="2"><em><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mi>f</mi><mrow><mi>g</mi></mrow></mfrac></mrow></mstyle></math> </em>and its domain</font>.</p><p>Note: Use "infinity" for <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>&infin;</mi></mrow></mstyle></math>and "sqrt(x)" for <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msqrt><mrow><mi>x</mi></mrow></msqrt></mrow></mstyle></math>.</p><p>&nbsp;<span><span>For the domain, enter your answer in interval notation. For example if <font size="4">0 &le; <em>x</em></font> <font size="4">< &infin;,</font> enter [0, infinity).</span></span></p><p><font size="2"><em><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mi>f</mi><mrow><mi>g</mi></mrow></mfrac></mrow></mstyle></math>&nbsp; </em></font><font size="2"><em>=&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </em></font><1><span>&nbsp;</span></p><p><span>Domain&nbsp; = <span>&nbsp;</span><2><span>&nbsp;</span></span></p>@

qu.1.5.mode=Inline@
qu.1.5.name=Composite Functions@
qu.1.5.comment=@
qu.1.5.editing=useHTML@
qu.1.5.solution=@
qu.1.5.algorithm=$a=range(1,5);
$b=range(1,6);
$c=range(2,3);
$d=range(2,9);
$f="x->$a*x^$c";
$g="x->(x+$d)";
$h="x->$b/x";
$m = maple("
MathML[ExportPresentation](($f)(x)),
MathML[ExportPresentation](($g)(x)),
MathML[ExportPresentation](($h)(x))
");
$df=switch(0,$m);
$dg=switch(1, $m);
$dh=switch(2, $m);@
qu.1.5.uid=1611b9d3-2e10-4e3e-9353-45a55c34c8d9@
qu.1.5.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Functions (Inverse and Composite);
  Sub-Topic=Composite;
@
qu.1.5.weighting=1,1@
qu.1.5.numbering=alpha@
qu.1.5.part.1.name=sro_id_1@
qu.1.5.part.1.maple_answer=($f)(($g)(x))@
qu.1.5.part.1.editing=useHTML@
qu.1.5.part.1.question=(Unset)@
qu.1.5.part.1.libname=@
qu.1.5.part.1.mode=Maple@
qu.1.5.part.1.allow2d=1@
qu.1.5.part.1.plot=@
qu.1.5.part.1.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.5.part.1.type=formula@
qu.1.5.part.2.name=sro_id_2@
qu.1.5.part.2.maple_answer=($f)(($g)(($h)(x)))@
qu.1.5.part.2.editing=useHTML@
qu.1.5.part.2.question=(Unset)@
qu.1.5.part.2.libname=@
qu.1.5.part.2.mode=Maple@
qu.1.5.part.2.allow2d=1@
qu.1.5.part.2.plot=@
qu.1.5.part.2.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.5.part.2.type=formula@
qu.1.5.question=<p>Given the following functions <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math>$df,<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>g</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math>$dg, <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>h</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow><mrow><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo></mrow></mstyle></math>$dh, what are</p><p>1) <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>g</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow></mfenced></mrow></mstyle></math></p><p><span>&nbsp;</span><1><span> <br /></span></p><p>2) <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>f</mi><mfenced open='(' close=')' separators=','><mrow><mi>g</mi><mfenced open='(' close=')' separators=','><mrow><mi>h</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow></mfenced></mrow></mfenced></mrow></mstyle></math></p><p><span>&nbsp;</span><2><span>&nbsp;</span></p>@

