qu.1.topic=Exponential/Logarithmic@

qu.1.1.mode=Inline@
qu.1.1.name=Find Half Life@
qu.1.1.comment=@
qu.1.1.editing=useHTML@
qu.1.1.solution=@
qu.1.1.algorithm=$time=[40,50,60,70,80,90,100];
$picktime=switch(rint(7),$time);@
qu.1.1.uid=d99033ac-378e-4585-9c0f-823a158a4ba4@
qu.1.1.info=  Author=Steve Crane, Gord Clement;
  Topic=Logs and Exponents;
  Sub-Topic=Application;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.1.weighting=1@
qu.1.1.numbering=alpha@
qu.1.1.part.1.name=sro_id_1@
qu.1.1.part.1.maple_answer=$picktime@
qu.1.1.part.1.editing=useHTML@
qu.1.1.part.1.question=(Unset)@
qu.1.1.part.1.libname=@
qu.1.1.part.1.mode=Maple@
qu.1.1.part.1.allow2d=1@
qu.1.1.part.1.plot=@
qu.1.1.part.1.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.1.part.1.type=formula@
qu.1.1.question=<p>If a radioactive material decays exponentially with a rate&nbsp;<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi>k</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mfrac><mn>1</mn><mrow><mi>$picktime</mi></mrow></mfrac><mo lspace='0.0em' rspace='0.0em'>&sdot;</mo><mi mathvariant='normal'>ln</mi><mfenced open='(' close=')' separators=','><mrow><mfrac><mn>1</mn><mrow><mn>2</mn></mrow></mfrac></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><msup><mi>days</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>1</mn></mrow></msup></mrow></mstyle></math> then the half-life (in days) equals:</p><p><br /><1><span>&nbsp;days.</span></p>@

qu.1.2.mode=Inline@
qu.1.2.name=Log Properties (MC)@
qu.1.2.comment=@
qu.1.2.editing=useHTML@
qu.1.2.solution=@
qu.1.2.algorithm=@
qu.1.2.uid=634ed9b3-3d45-4a59-ab19-7c15c212b83c@
qu.1.2.info=  Author=Steve Crane;
  Topic=Logs and Exponents;
  Sub-Topic=Rules;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.2.weighting=1@
qu.1.2.numbering=alpha@
qu.1.2.part.1.name=sro_id_1@
qu.1.2.part.1.editing=useHTML@
qu.1.2.part.1.choice.5=<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><mn>3</mn><mrow><msub><mi mathvariant='normal'>log</mi><mrow><mn>3</mn></mrow></msub><mfenced open='(' close=')' separators=','><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi>x</mi><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>4</mn></mrow></mfenced></mrow></msup><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi>x</mi></mrow></mstyle></math>@
qu.1.2.part.1.fixed=@
qu.1.2.part.1.choice.4=<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><msub><mi mathvariant='normal'>log</mi><mrow><mi>b</mi></mrow></msub><mfenced open='(' close=')' separators=','><mrow><msup><mi>b</mi><mrow><mi>m</mi></mrow></msup></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mi>m</mi></mrow></mstyle></math>@
qu.1.2.part.1.question=null@
qu.1.2.part.1.choice.3=<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>e</mi><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi mathvariant='normal'>ln</mi><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow></msup><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><msup><mi>x</mi><mrow><mn>3</mn></mrow></msup></mrow></mstyle></math>@
qu.1.2.part.1.choice.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 mathvariant='normal'>ln</mi><mfenced open='(' close=')' separators=','><mrow><msup><mi>e</mi><mrow><mn>7</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi>x</mi></mrow></msup></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mn>7</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi>x</mi></mrow></mstyle></math>@
qu.1.2.part.1.choice.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 mathvariant='normal'>log</mi><mfenced open='(' close=')' separators=','><mrow><mfrac><mn>1</mn><mrow><mn>10</mn></mrow></mfrac></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>1</mn></mrow></mstyle></math>@
qu.1.2.part.1.mode=Multiple Choice@
qu.1.2.part.1.display=vertical@
qu.1.2.part.1.answer=5@
qu.1.2.question=<p>Which one of the following statements is false?</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.3.mode=Inline@
qu.1.3.name=Ph@
qu.1.3.comment=<p>The equation for pH is</p>
<p><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>pH</mi><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mi mathvariant='normal'>log</mi><mfenced open='[' close=']' separators=','><mrow><msup><mi>H</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo></mrow></msup></mrow></mfenced></mrow></mstyle></math></p>@
qu.1.3.editing=useHTML@
qu.1.3.solution=@
qu.1.3.algorithm=$a=[-5.3,-2.2,-6.4,-12.1,-10.8];
$picka=switch(rint(5),$a);
$ANS=(-1)*log(10^$picka);@
qu.1.3.uid=a7b3805c-c725-4bfe-9198-2a4f32d3f9ab@
qu.1.3.info=  Author=Steve Crane, Gord Clement;
  Sub-Topic=Application;
  Topic=Logs and Exponents;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.3.weighting=1@
qu.1.3.numbering=alpha@
qu.1.3.part.1.name=sro_id_1@
qu.1.3.part.1.maple_answer=$ANS@
qu.1.3.part.1.editing=useHTML@
qu.1.3.part.1.question=(Unset)@
qu.1.3.part.1.libname=@
qu.1.3.part.1.mode=Maple@
qu.1.3.part.1.allow2d=1@
qu.1.3.part.1.plot=@
qu.1.3.part.1.maple=is(abs(($ANSWER)-($RESPONSE)) < 0.1);@
qu.1.3.part.1.type=formula@
qu.1.3.question=<p>If <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfenced open='[' close=']' separators=','><mrow><msup><mi>H</mi><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo></mrow></msup></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo></mrow></mstyle></math>is <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><msup><mn>10</mn><mrow><mi>$picka</mi></mrow></msup></mrow></mstyle></math><em>M</em> then pH is:</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.4.mode=Inline@
qu.1.4.name=Decay Rate@
qu.1.4.comment=@
qu.1.4.editing=useHTML@
qu.1.4.solution=@
qu.1.4.algorithm=$time=range(2,5);
$percent=[10,20,30,40];
$pick_percent=switch(rint(4),$percent);
$drug=[100,150,200,250,300,350,400];
$pick_drug=switch(rint(7),$drug);
$percent_left=($pick_percent)*$pick_drug/100;
$ANS=(-ln($percent_left/$pick_drug)/$time);@
qu.1.4.uid=779a2552-3140-404f-b2e9-4070e1e282c4@
qu.1.4.info=  Author=Steve Crane, Gord Clement;
  Sub-Topic=Application;
  Topic=Logs and Exponents;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.4.weighting=1@
qu.1.4.numbering=alpha@
qu.1.4.part.1.name=sro_id_1@
qu.1.4.part.1.maple_answer=$ANS@
qu.1.4.part.1.editing=useHTML@
qu.1.4.part.1.question=(Unset)@
qu.1.4.part.1.libname=@
qu.1.4.part.1.mode=Maple@
qu.1.4.part.1.allow2d=1@
qu.1.4.part.1.plot=@
qu.1.4.part.1.maple=is(abs(($ANSWER)-($RESPONSE)) < 0.05);@
qu.1.4.part.1.type=formula@
qu.1.4.question=<p>A person take $pick_drug mg of a drug. After $time hours&nbsp;there is&nbsp;$pick_percent percent of&nbsp;the drug left.</p><p>What is the decay rate of the drug?</p><p>Give your answer to at least two decimal places. You can omit units from your answer.</p><p><br /><1><span>&nbsp;</span></p>@

qu.1.5.mode=Inline@
qu.1.5.name=Log Properties (Adding)@
qu.1.5.comment=@
qu.1.5.editing=useHTML@
qu.1.5.solution=@
qu.1.5.algorithm=@
qu.1.5.uid=d71b3ee5-d440-41d4-b929-8c8d1ea20f11@
qu.1.5.info=  Author=Steve Crane;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Logs and Exponents;
  Sub-Topic=Rules;
@
qu.1.5.weighting=1@
qu.1.5.numbering=alpha@
qu.1.5.part.1.editing=useHTML@
qu.1.5.part.1.question=(Unset)@
qu.1.5.part.1.name=sro_id_1@
qu.1.5.part.1.answer=23/3@
qu.1.5.part.1.mode=Formula@
qu.1.5.question=<p>If <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><mn>2</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><msub><mi mathvariant='normal'>log</mi><mrow><mn>3</mn></mrow></msub><mfenced open='(' close=')' separators=','><mrow><mn>2</mn></mrow></mfenced><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><msub><mi mathvariant='normal'>log</mi><mrow><mn>3</mn></mrow></msub><mfenced open='(' close=')' separators=','><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&#32;</mo><mi>x</mi><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>1</mn></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><msub><mi mathvariant='normal'>log</mi><mrow><mn>3</mn></mrow></msub><mfenced open='(' close=')' separators=','><mrow><mi>x</mi><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>3</mn></mrow></mfenced><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mn>2</mn></mrow></mstyle></math> then<em> x</em> equals.</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.6.mode=Inline@
qu.1.6.name=Ln Properties ln(e^func) = constant@
qu.1.6.comment=@
qu.1.6.editing=useHTML@
qu.1.6.solution=@
qu.1.6.algorithm=$a=rint(1,8);
$b=rint(1,8);
$c=rint(1,9);
condition: ne($a,$b) ne($a,$c) ne($b,$c);
$ANS=(($c-$b)/($a));@
qu.1.6.uid=c7a8ae2b-5416-4369-ab1c-dd23e2bce3c1@
qu.1.6.weighting=1@
qu.1.6.numbering=alpha@
qu.1.6.part.1.name=sro_id_1@
qu.1.6.part.1.maple_answer=$ANS@
qu.1.6.part.1.editing=useHTML@
qu.1.6.part.1.question=(Unset)@
qu.1.6.part.1.libname=@
qu.1.6.part.1.mode=Maple@
qu.1.6.part.1.allow2d=1@
qu.1.6.part.1.plot=@
qu.1.6.part.1.maple=is(abs(($ANSWER)-($RESPONSE))<0.1);@
qu.1.6.part.1.type=formula@
qu.1.6.question=<p>Solve for&nbsp;<em>x</em>&nbsp;in the equation <math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mi mathvariant='normal'>ln</mi><mfenced open='(' close=')' separators=','><mrow><msup><mi>e</mi><mrow><mi>$a</mi><mo lspace='0.0em' rspace='0.0em'>&sdot;</mo><mi>x</mi><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mi>$b</mi></mrow></msup></mrow></mfenced><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mi>$c</mi></mrow></mstyle></math> .</p><p>&nbsp;<span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.7.mode=Inline@
qu.1.7.name=Shifts (for e^functions)@
qu.1.7.comment=<p>Here is the two graphs plotted together.</p>
<p>$n</p>@
qu.1.7.editing=useHTML@
qu.1.7.solution=@
qu.1.7.algorithm=$a=range(2,5);
$b=rint(2,4);
condition: ne($a,$b);
$c=rint(-3,-1);
$func="$a*exp($b*x)$c";
$m=maple("MathML[ExportPresentation]($func)");
$d=rint(4,6);
$e=rint(3,6);
condition: ne($d,$e);
$ANSfunc="$a*exp($b*(x+$d))$c+$e";
$p=plotmaple("
p1 := plots[implicitplot]({seq(x=i, i=-4..4)}, x=-4..4, y=-10..10, colour=grey):
p2 := plots[implicitplot]({seq(y=i, i=-10..10)}, x=-4..4, y=-10..10, colour=grey):
p3 := plot($func,x=-4..4,y=-10..10, discont=true, thickness=2):
plots[display]({p1,p2,p3}), plotoptions='height=250, width=250'
");
$n=plotmaple("
p1 := plots[implicitplot]({seq(x=i, i=-10..6)}, x=-10..6, y=-6..10, colour=grey):
p2 := plots[implicitplot]({seq(y=i, i=-6..10)}, x=-10..6, y=-6..10, colour=grey):
p3 := plot($func,x=-10..6,y=-6..10, discont=true, thickness=2):
p4 := plot($ANSfunc,x=-10..6,y=-6..10, discont=true,colour=blue):
plots[display]({p1,p2,p3,p4}), plotoptions='height=250, width=250'
");@
qu.1.7.uid=e19f9eb4-4568-4624-a726-9da075289029@
qu.1.7.info=  Author=Steve Crane, Gord Clement;
  Sub-Topic=Graph Transformations;
  Topic=Logs and Exponents;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.7.weighting=1@
qu.1.7.numbering=alpha@
qu.1.7.part.1.name=sro_id_1@
qu.1.7.part.1.maple_answer=$ANSfunc@
qu.1.7.part.1.editing=useHTML@
qu.1.7.part.1.question=(Unset)@
qu.1.7.part.1.libname=@
qu.1.7.part.1.mode=Maple@
qu.1.7.part.1.allow2d=1@
qu.1.7.part.1.plot=@
qu.1.7.part.1.maple=is(($ANSWER)-($RESPONSE) = 0);@
qu.1.7.part.1.type=formula@
qu.1.7.question=<p>State the equation of the function that is <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>$m shifted to the left by $d units and then shifted upwards by $e units.</p><p>$p</p><p>Note: Use exp(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><msup><mi>e</mi><mrow><mi>x</mi></mrow></msup></mrow></mstyle></math>.</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.8.mode=Inline@
qu.1.8.name=Find x (e^stuff)@
qu.1.8.comment=@
qu.1.8.editing=useHTML@
qu.1.8.solution=@
qu.1.8.algorithm=$a=rint(5,8);
$b=range(2,6);
$c=rint(1,4);
$d=rint(4,8);
condition: ne($a,$d);
$ANS=(ln($d/$a)-$c)/$b;@
qu.1.8.uid=329cfcb3-8451-4545-9f1d-c1524640fb8d@
qu.1.8.info=  Author=Steve Crane, Gord Clement;
  Course=Introductory Calculus for the Biological Sciences;
  Topic=Logs and Exponents;
  Sub-Topic=Solve for x;
@
qu.1.8.weighting=1@
qu.1.8.numbering=alpha@
qu.1.8.part.1.name=sro_id_1@
qu.1.8.part.1.maple_answer=$ANS@
qu.1.8.part.1.editing=useHTML@
qu.1.8.part.1.question=(Unset)@
qu.1.8.part.1.libname=@
qu.1.8.part.1.mode=Maple@
qu.1.8.part.1.allow2d=1@
qu.1.8.part.1.plot=@
qu.1.8.part.1.maple=is(abs(($ANSWER)-($RESPONSE)) < 0.05);@
qu.1.8.part.1.type=formula@
qu.1.8.question=<p>Solve&nbsp;for x&nbsp;in the following&nbsp;equation:</p><p>&nbsp;<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>$a</mi><mo lspace='0.0em' rspace='0.0em'>&sdot;</mo><msup><mi>e</mi><mrow><mi>$b</mi><mo lspace='0.0em' rspace='0.0em'>&sdot;</mo><mi>x</mi><mo lspace='0.2222222em' rspace='0.2222222em'>&plus;</mo><mi>$c</mi></mrow></msup><mo lspace='0.2777778em' rspace='0.2777778em'>&equals;</mo><mi>$d</mi></mrow></mstyle></math>.</p><p><span>&nbsp;</span><1><span>&nbsp;</span></p>@

qu.1.9.mode=Inline@
qu.1.9.name=Half Life Decay@
qu.1.9.comment=@
qu.1.9.editing=useHTML@
qu.1.9.solution=@
qu.1.9.algorithm=$time=[100,150,200,250,300,350,400];
$pick_time=switch(rint(7),$time);
$ANS=(-1/$pick_time)*ln(1/2);@
qu.1.9.uid=7d2272e4-3586-4ffa-bc0f-c4f04f5bb353@
qu.1.9.info=  Author=Steve Crane;
  Topic=Logs and Exponents;
  Sub-Topic=Application;
  Course=Introductory Calculus for the Biological Sciences;
@
qu.1.9.weighting=1@
qu.1.9.numbering=alpha@
qu.1.9.part.1.name=sro_id_1@
qu.1.9.part.1.maple_answer=$ANS@
qu.1.9.part.1.editing=useHTML@
qu.1.9.part.1.question=(Unset)@
qu.1.9.part.1.libname=@
qu.1.9.part.1.mode=Maple@
qu.1.9.part.1.allow2d=1@
qu.1.9.part.1.plot=@
qu.1.9.part.1.maple=is(abs(($ANSWER)-($RESPONSE)) < 0.0005);@
qu.1.9.part.1.type=formula@
qu.1.9.question=<p>Find the decay rate <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>k</mi></mrow></mstyle></math>of a radioactive substance if it has a half life of $pick_time years.</p><p>Give your answer to at least 4 decimal places.</p><p><1><span>&nbsp;</span></p>@

