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<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt'>Applicat=
ion
Using Composition of Functions</span></b><span style=3D'font-size:12.0pt;
mso-bidi-font-size:10.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'>When
a food culture is removed from a refrigerator (at 34</span><span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:Symbol;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man";
mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char=
-type:
symbol;mso-symbol-font-family:Symbol'>&deg;</span></span><span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt'> F), it takes 3 hours =
for the
culture to get to room temperature (70</span><span style=3D'font-size:12.0p=
t;
mso-bidi-font-size:10.0pt;font-family:Symbol;mso-ascii-font-family:"Times N=
ew Roman";
mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;mso-symbol-fon=
t-family:
Symbol'><span style=3D'mso-char-type:symbol;mso-symbol-font-family:Symbol'>=
&deg;</span></span><span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt'> F). The temperature <i
style=3D'mso-bidi-font-style:normal'>t</i> hours after being removed is giv=
en by<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp; </span><span
class=3DGramE>T(</span><i style=3D'mso-bidi-font-style:normal'>t</i>) =3D 1=
2<i
style=3D'mso-bidi-font-style:normal'>t</i> + 34<span style=3D'mso-tab-count=
:2'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>0
<u>&lt;</u> <i style=3D'mso-bidi-font-style:normal'>t</i> <u>&lt;</u> 3<o:p=
></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'>The
number of bacteria in the food culture is based on the temperature. The num=
ber <span
class=3DGramE>N(</span>T) of bacteria at temperature T is given by<o:p></o:=
p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><span
style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp; </span><span
class=3DGramE>N(</span>T) =3D 110T- 3740<span style=3D'mso-tab-count:2'>&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp; </span>34
<u>&lt;</u> T <u>&lt;</u> 70<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-indent:-.25in;mso-list=
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style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;
</span></span></span><![endif]><span style=3D'font-size:12.0pt;mso-bidi-fon=
t-size:
10.0pt'>Find the composition <sub><!--[if gte vml 1]><v:shapetype id=3D"_x0=
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  <v:f eqn=3D"prod @6 1 2"/>
  <v:f eqn=3D"prod @7 21600 pixelWidth"/>
  <v:f eqn=3D"sum @8 21600 0"/>
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<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
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<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-indent:-.25in;mso-list=
:l0 level1 lfo2;
tab-stops:list .25in'><![if !supportLists]><span style=3D'font-size:12.0pt;
mso-bidi-font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>&middot;<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;
</span></span></span><![endif]><span style=3D'font-size:12.0pt;mso-bidi-fon=
t-size:
10.0pt'>Explain the meaning of this composition.<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-indent:-.25in;mso-list=
:l0 level1 lfo2;
tab-stops:list .25in'><![if !supportLists]><span style=3D'font-size:12.0pt;
mso-bidi-font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>&middot;<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;
</span></span></span><![endif]><span style=3D'font-size:12.0pt;mso-bidi-fon=
t-size:
10.0pt'>Find the number of bacteria 2 hours after the culture is removed fr=
om
the refrigerator.<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
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<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:12.0pt;mso-bidi-font-size:10.=
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