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\par }{\rtlch\fcs1 \af1\afs32 \ltrch\fcs0 \fs32\lang1024\langfe1025\langnp1024\insrsid6711469 Assignment
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\par }{\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469 1.  An ice skate manufacturer has its cost function defined as: 
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\linex0\endnhere\sectlinegrid360\sectdefaultcl\sectrsid8270468\sftntj {\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469  where C(x) is the cost of producing x pairs of skates.
\par  
\par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \ab\af1\afs32\alang1025 \ltrch\fcs0 \b\f1\fs32\lang4105\langfe1025\cgrid\langnp4105\langfenp1025 {\rtlch\fcs1 
\ab0\af1\afs24 \ltrch\fcs0 \b0\fs24\insrsid6711469 a)  Write an average cost function A(x) for producing x pairs of skates.
\par 
\par b)  What is the domain of A(x)?  Explain the elements of the domain in the context of the problem.
\par 
\par c)  What is the horizontal asymptote for this function? What does it represent in the context of the problem? Is this situation realistic?
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\par 
\par 
\par 
\par 2.  Mark and Heather are graphing rational functions for their class.  
\par 
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\linex0\endnhere\sectlinegrid360\sectdefaultcl\sectrsid8270468\sftntj {\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469  
\par 
\par The teacher asks each of them the following questions: 
\par 
\par a)  What is the domain of your function?
\par 
\par b)  What are the asymptotes of your function?
\par 
\par c)  Sketch your function.  
\par 
\par d)  Compare each of the graphs. What can you tell about these two functions?
\par 
\par e)  Explain what information would have indicated that these functions had strong commonalties.
\par 
\par You need to provide the answers, with evidence, that Mark and Heather would give to their teacher.
\par 
\par 
\par }{\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid8270468 \column 
\par }{\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469 3.  A home computer costs $9/year in electricity costs.  Assume a new computer costs $2000 to purchase.
\par 
\par a)  Determine a function that gives the }{\rtlch\fcs1 \ab\af1\afs24 \ltrch\fcs0 \b\fs24\ul\insrsid6711469 average}{\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469 
 annual cost of owning and running a computer as a function of the number of years you own the computer.
\par 
\par b)  Sketch the graph of the function you have developed in (b). Provide the details that you calculated to arrive at your sketch.
\par 
\par c)  What are the asymptotes for this function and what do they mean in the context of the problem?  Is this realistic?
\par 
\par 
\par 
\par 4. The concentration, c (}{\rtlch\fcs1 \af1 \ltrch\fcs0 \insrsid6711469 micrograms per millilitre (}{\rtlch\fcs1 \af482\afs20 \ltrch\fcs0 \f482\fs20\insrsid6711469 \'ecg/mL)}{\rtlch\fcs1 \af1 \ltrch\fcs0 \insrsid6711469  )}{\rtlch\fcs1 \af1\afs24 
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3500040000002701ffff040000002701ffff040000002701ffff030000000000}{\result {\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\dn34\insrsid8270468\charrsid8270468 {\pict{\*\picprop\shplid1028{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn dxTextLeft}{\sv 0}}{\sp{\sn dyTextTop}{\sv 0}}{\sp{\sn dxTextRight}{\sv 0}}{\sp{\sn dyTextBottom}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}
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\picscalex70\picscaley70\piccropl0\piccropr0\piccropt0\piccropb0\picw3634\pich1623\picwgoal2060\pichgoal920\wmetafile8\bliptag793161435\blipupi269{\*\blipuid 2f46aedb374a5adb6dc623d3227c7d5c}
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\linex0\endnhere\sectlinegrid360\sectdefaultcl\sectrsid8270468\sftntj {\rtlch\fcs1 \af1\afs24 \ltrch\fcs0 \fs24\insrsid6711469 .
\par 
\par a)  What is the domain of the function, in the context of this question?
\par 
\par b)  Find any vertical and horizontal asymptotes for this function. Interpret their meaning in the context of the question.
\par 
\par c)  Graph the function, using the Trace feature.  What is the maximum concentration of drug in the blood? How long does it take to reach this maximum?
\par \tab }{\rtlch\fcs1 \af1 \ltrch\fcs0 \insrsid6711469 
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