MIME-Version: 1.0
Content-Type: multipart/related; boundary="----=_NextPart_01C785BA.9F9BFD40"

This document is a Single File Web Page, also known as a Web Archive file.  If you are seeing this message, your browser or editor doesn't support Web Archive files.  Please download a browser that supports Web Archive, such as Microsoft Internet Explorer.

------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"
xmlns:o=3D"urn:schemas-microsoft-com:office:office"
xmlns:w=3D"urn:schemas-microsoft-com:office:word"
xmlns=3D"http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DWord.Document>
<meta name=3DGenerator content=3D"Microsoft Word 11">
<meta name=3DOriginator content=3D"Microsoft Word 11">
<link rel=3DFile-List href=3D"2007prob10_files/filelist.xml">
<link rel=3DEdit-Time-Data href=3D"2007prob10_files/editdata.mso">
<link rel=3DOLE-Object-Data href=3D"2007prob10_files/oledata.mso">
<!--[if !mso]>
<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style>
<![endif]-->
<title>Problem 10</title>
<!--[if gte mso 9]><xml>
 <o:DocumentProperties>
  <o:Author>Kevin Windsor</o:Author>
  <o:Template>Normal</o:Template>
  <o:LastAuthor>Kevin Windsor</o:LastAuthor>
  <o:Revision>2</o:Revision>
  <o:TotalTime>0</o:TotalTime>
  <o:Created>2007-04-23T22:18:00Z</o:Created>
  <o:LastSaved>2007-04-23T22:18:00Z</o:LastSaved>
  <o:Pages>1</o:Pages>
  <o:Words>35</o:Words>
  <o:Characters>205</o:Characters>
  <o:Company>Los Angeles City College</o:Company>
  <o:Lines>1</o:Lines>
  <o:Paragraphs>1</o:Paragraphs>
  <o:CharactersWithSpaces>239</o:CharactersWithSpaces>
  <o:Version>11.6568</o:Version>
 </o:DocumentProperties>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:WordDocument>
  <w:SpellingState>Clean</w:SpellingState>
  <w:GrammarState>Clean</w:GrammarState>
  <w:PunctuationKerning/>
  <w:ValidateAgainstSchemas/>
  <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
  <w:IgnoreMixedContent>false</w:IgnoreMixedContent>
  <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
  <w:Compatibility>
   <w:BreakWrappedTables/>
   <w:SnapToGridInCell/>
   <w:WrapTextWithPunct/>
   <w:UseAsianBreakRules/>
   <w:DontGrowAutofit/>
  </w:Compatibility>
  <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
 </w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:LatentStyles DefLockedState=3D"false" LatentStyleCount=3D"156">
 </w:LatentStyles>
</xml><![endif]-->
<style>
<!--
 /* Style Definitions */
 p.MsoNormal, li.MsoNormal, div.MsoNormal
	{mso-style-parent:"";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	font-family:"Times New Roman";
	mso-fareast-font-family:"Times New Roman";
	mso-bidi-language:AR-SA;}
@page Section1
	{size:8.5in 11.0in;
	margin:.75in .75in .75in .75in;
	mso-header-margin:.5in;
	mso-footer-margin:.5in;
	mso-paper-source:0;}
div.Section1
	{page:Section1;}
-->
</style>
<!--[if gte mso 10]>
<style>
 /* Style Definitions */
 table.MsoNormalTable
	{mso-style-name:"Table Normal";
	mso-tstyle-rowband-size:0;
	mso-tstyle-colband-size:0;
	mso-style-noshow:yes;
	mso-style-parent:"";
	mso-padding-alt:0in 5.4pt 0in 5.4pt;
	mso-para-margin:0in;
	mso-para-margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman";
	mso-ansi-language:#0400;
	mso-fareast-language:#0400;
	mso-bidi-language:#0400;}
</style>
<![endif]--><!--[if gte mso 9]><xml>
 <o:shapedefaults v:ext=3D"edit" spidmax=3D"2050"/>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"1"/>
 </o:shapelayout></xml><![endif]-->
</head>

<body lang=3DEN-US style=3D'tab-interval:.5in'>

<div class=3DSection1>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'>Problem 10</span>=
</b><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'><o:p></o:p></span=
></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'>Fin=
d all
solutions for the equation:<sub><!--[if gte vml 1]><v:shapetype id=3D"_x000=
0_t75"
 coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@=
5l@4@11@9@11@9@5xe"
 filled=3D"f" stroked=3D"f">
 <v:stroke joinstyle=3D"miter"/>
 <v:formulas>
  <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/>
  <v:f eqn=3D"sum @0 1 0"/>
  <v:f eqn=3D"sum 0 0 @1"/>
  <v:f eqn=3D"prod @2 1 2"/>
  <v:f eqn=3D"prod @3 21600 pixelWidth"/>
  <v:f eqn=3D"prod @3 21600 pixelHeight"/>
  <v:f eqn=3D"sum @0 0 1"/>
  <v:f eqn=3D"prod @6 1 2"/>
  <v:f eqn=3D"prod @7 21600 pixelWidth"/>
  <v:f eqn=3D"sum @8 21600 0"/>
  <v:f eqn=3D"prod @7 21600 pixelHeight"/>
  <v:f eqn=3D"sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 <o:lock v:ext=3D"edit" aspectratio=3D"t"/>
</v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi=
dth:161.25pt;
 height:18pt' o:ole=3D"">
 <v:imagedata src=3D"2007prob10_files/image001.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D215 height=3D24
src=3D"2007prob10_files/image002.gif" v:shapes=3D"_x0000_i1025"><![endif]><=
/sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
025"
  DrawAspect=3D"Content" ObjectID=3D"_1238846780">
 </o:OLEObject>
</xml><![endif]--> <o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-family:Arial'>[Problem submitted b=
y Roger
Wolf, Chairman of Mathematics Department, LACC.]<o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:14.0pt;font-family:Arial;color:maroon'>Solution for Prob=
lem 10:<o:p></o:p></span></b></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><o:=
p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><su=
b><!--[if gte vml 1]><v:shape
 id=3D"_x0000_i1026" type=3D"#_x0000_t75" style=3D'width:161.25pt;height:18=
pt' o:ole=3D"">
 <v:imagedata src=3D"2007prob10_files/image003.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D215 height=3D24
src=3D"2007prob10_files/image002.gif" v:shapes=3D"_x0000_i1026"><![endif]><=
/sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
026"
  DrawAspect=3D"Content" ObjectID=3D"_1238846781">
 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:14.0pt;font-family:Arial'><su=
b><!--[if gte vml 1]><v:shape
 id=3D"_x0000_i1027" type=3D"#_x0000_t75" style=3D'width:318.75pt;height:13=
2.75pt'
 o:ole=3D"">
 <v:imagedata src=3D"2007prob10_files/image004.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D425 height=3D177
src=3D"2007prob10_files/image005.gif" v:shapes=3D"_x0000_i1027"><![endif]><=
/sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
027"
  DrawAspect=3D"Content" ObjectID=3D"_1238846782">
 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

</div>

</body>

</html>

------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/image001.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
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------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/image002.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlh1wAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABADR
ABAAhAAAAAAAAAUICwsFAAsIBQUIDQ0LCwgFAAAFCw0ICAUAAA0IBQUABQsLDQgFBQUFBQAFCAAA
BQgIDQUFCAgIBQsLCwgICAECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICCO5EgIZaquLDsE
QdHONGscMFLvfO//v4QCBSyOFjoDo2EsEpIHWXNKre4Mjgexuoj1lEwnbOzlnZoGxRgSto7S63bx
NpbOTueqsFwj8IEvZH8zYEZ7ZBESbiKHY4lGdGR2KwkTDXlTkZM1A5s8N2xASopzB48iXTpuN6cA
qUZ+oV0Rcil+Y1uwERSDNJg+aao+CQykcwrCAKy1aMgky6KmbX4FryIvk79FXdV81gDYrqqdRUK5
JN/hxMxUoH7C4VWg7DRpoagBKOHfItopC+dKBHP1Z18AeDAColOIT4CaAPeuebEWKCELgD1eGUw2
hV8PIclAKlMAoQJJei0w/7qgRXCSPZMRd6hUcQuRsZcnfcysp4AlzpjNWAIx98wZwQCtMjIEQA3f
pi5IjfHYWSIeAJFHYCSVuVRgT2NQt0L6mqKiII5E3xgFl28bw7Qty7b9QXXGAKESu17Uy4gsiRd8
dwgR+3HtVaN08NIwi2iaIEc3cShuwdgRymt4E1/++1grOz+TNauonIMm0s08I3YhQiCChSFA6vbr
HNWEa9g6GdprM8/268AlZJOIxaz17ynEXdDmCG22DJF3pXKV+Qc64ZRLra4eYV06DeGzOfbVER3W
QTfJZzWAtjs3dTvsc05dCofMvfhAZ4CvLyhCBWkj5VcDf42VIogMTTXkXh8N3JjgzVzT2YBDaQ7a
sd18F9G2y4PABachahLWIUIIADs=

------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/image003.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
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------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/image004.wmz
Content-Transfer-Encoding: base64
Content-Type: image/x-wmz
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=

------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/image005.gif
Content-Transfer-Encoding: base64
Content-Type: image/gif

R0lGODlhqQGxAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwCl
AasAhAAAAAAAAAgFAA0LCwAFCwsIBQUIDQUICwUABQsLDQgIDQ0IBQsFAAUAAAAFCA0ICAAABQgI
BQsLCwgICAsICAAFBQUFAAsFBQgFBQECAwECAwECAwECAwECAwECAwECAwX/ICCOJDAIQUCUbGui
qivPdG3fOH6ma+7/wKBwSCwaj0hhYXUy/JYvZ3JKfTIF0qp2y+16v+BS4TAch89VM3rNbrvfwQEi
QZIrbnL6cRHIbvlZDGRceUMDDSkBDnpTh4mLRDspfnCVll92JQw9NZlHD4iUVKB9Iw8Id1qeQaSJ
ARCpSK2JsEKSiaKXurtFp7EiC7U1vkiSucUwfptaxLYCwgB8nEYn0NJKinR8EIy83t85p90iy8Nz
SQUQEaVb6et+wb+f54YN09Xj9ffP+Tb4IwXYgRsI7hq5UgxcDQKVxSCAhE4SJho0BBAgYDEOHrth
UaAJe0AcQjw4EZmDgJxG/1ITAOnHoZbRAlAkSHPXSIct0v26mTHHgpktDq24qDHmtBI/aQiNSYkB
NxdJXfA8aiMqxxhTkeAMB9JU15pgLb2U0ABmC6fdxpbtR8Oq1KdEPzogaxYpUBZomYqBZleG2rpV
7/pt8PQvW5eED9MANXNp2Mdw+LySV+JEXcl8cbhlEVBK3JiTZ2wWw+6z3hajSWCmHBgP4VirjxzK
/NCVq6OM63yFzHtNQsF1WOb7HSS1iNwYm8psCxwA8tMjTEdvfpC6aOvHX2tabgQUba7TQFHtTZ4Q
iqd+hVc+r3i77RToRQR8H/rFq+H075OY/96aR4n9jbNDfDUAaBuBAOkXnP+C7r03XkAIIgYTH9iV
Z2ER6UzQAHWWjZPhhiE1x9+BqXxInXEAjOiKf8egmCIEGlbIgospZsMZjCCWYaNU+R31j3weXSik
LCA5xdoIeXm1gpE/0KiaQOI99B0wMkIn35QoRsmkDy6i1IKWU9rg5REBQbJNe0OmqQM/ch2m0wj/
vIRmX1dJEedaUFVpGgOAUenCnX1eNxh9EEjAppxAOBJgHDDgouajRHQWHXdf5lhjQ5RypCc7kmIE
nJOT+nFIc8Z1GlOVfkKVnzoCURjSqnP+2ehGkNZKBZ+x1hqPrbz26uuMYf5azq/EFvvosMYeh0qy
zDbL2yrJCuLstNRWa+3/tdhmq+223Hbr7bfghivuuOSWa+656Kar7rrstuvuu/DGK++89NZr7734
5qsvQZKMB0e/+wacLRRN8EIwFgInjK0aIkBbDCIpwCQtZ6j64LBsEO/4UMWVZRzomo4qzGwhSPpL
xCzwpdIMnPRUgSyRJCp75DAZp+yMbbSK/Ci0uzbyDGw9IXuxVsEy6l9KJs9QDdBJ01CmNgzqzOvK
5DQdx24/9kz1rVYnijWb0RQd1NcR+gP2pVJfKFIp4pTA0KQpBelMS0u1XVHQ7LyNUdw5r0n3bnPn
qtuEmabdW1a1lfTiTqVsRWdVPUmZgIGkUof44iRcjtqm0yR5d9eVhge4/+GQGTaD53LRpRioHxH4
pqZKl6U6kgSaLgPrs3Xzui2JsWLpR6CT/k1s6V1ms6CdaPdk39O1dfwLxtd3e4WzySNdDtXj1aPb
vzsmPHnEKa3edtg56R1l1+dZYKYdal8+dufPKDcO8QsRpZLfkzegYu0vWLaBK8oHhPqRPiTBigX7
g9P4FBg1AxJKgA1MjgMdlJMIWgxPnspfb0wkvrpwEHkueJqqmJcqGXwQeh7CkXW6pDGkzK8GIuQR
fXx0NlNpECxgmpnkSJBDEHImcjfS4eNCJ6VYoK6H0zMhEPcixAoGD4Y2OtMNwwIoN0Gjikkc2wOR
9LEZNQeLmGvYoTC4uf8/1YwWjMDVBbeYqEZNYophMZWrXPAcORZONZ864EdQhSI7LsRSfsyi/Ng4
qibpsY0hgyOv1LiGnn2BkWhwpCITJskwvKwLlQTDJScZsE12YWte8CQXQMnJfQ2NCxM7wym3kMpS
uvKVsIylLGdJy1ra8pa4zKUud8nLXvryl8AMpjCHScxiGvOYyEwYwJLJTHAcjIQiK+CzllUFRe2o
lX4TXLkY9gZrdtFsiQSLNENYtjeI8mRnrAUpc1KYBf4qHdp0ScvcgDLpucSNLxxePmWAukpkciVH
q9oN8tI/YvWzEdTs5s/ghg0zWVCf0KRdPFH5ROyRTRti22FBhVXO7iT/tJsXbWN8bEiQAt7iCokw
Wf82yiW8OUFvezNgRDtIB+/JKqWWIUsKGtMoTliGAhATTP/muNKexg4+MRJjSpXKAyZ2Ynztsxuj
6ObOwHmNcBxrQ/rqWSijyoqq36QB4nZXFMc1TzNB66h9eHCCClhAIdk5UE3xeccwJgQSyOFqP+q5
HL2e1KlKgap6KCfI9YB1ovKrKP4WW5Pr7YAiXjpocA5bj7lgsJ+2K6NrRio2gqLAoSiFbAx20IMx
cc8JCXzTYxNEldU6BxEHcG2NeiBZPAg2rHj8qh5Y6jW1zuA5wAvL9YArudqKkbINss14iMdb4qnP
H8qToFjbKQw5ERct/z9CVMdWcIoJLEuN10XQ/TwVXjoY96nIhV1QbotYOEV3gsrlXmNGV5D5SaY/
CjhvUXErVkrxtjYrrFD9QlWgdh72viTabz9wFQyyxLYrCF6R9TzCmAjT4g7nDWx6W7PeDf9gwEAY
72sVq1X7riq/alVwJNhz3HwkMLkBrGCExqlR9lo4ZSoGVn4JcAIC6O3G9rRShU+8w6nutqpnOWSO
SULBH/o2eVgV7vyIK1HxoUe7mdvejZKKwi3/zotOayGBpzvXw1K5xWhG4IYEQAZ3oOfMLBAxheBc
ZJHulowcRiDYsOyDGCZ5husZ6T534VgUZME7kysacXbAXzoWSRj9RP+iZkO4RIB0thYK3sGhE7Pk
4FRgWcGwgE8N7RUEuZYUsSV1dp6ypSAs+rOCQ9GrxXwD02Ioig/1BpBfesZSzCdpCHZro/VcGDyR
FYxgNiMb1UjW/bCVva99D2qhLeOawpaHvc4FX8nAVyn8GrDOS4SwY00qV4wbMWy8J84es2umKsgR
XZzPXJCMg0ACN5CTHuSiChlGNSvCUMi9xZWpHeeuLG09aBzUK7gscEbAW3cZrdG/6V3YH0582BhJ
t7rfaDhInsGRF2iimujczGb9M5Q+nefOMJi9kmfrnMxIKOvA12SXY2uVWsAmsUY0U5v7/OdAD7rQ
h070ohv96EhPutL/l870pjv96VCPutTlhfOrPUIPOjfBRx8mhaxbbFZD8mZ7aXKInsML5iFO5x1A
iXav5W3rX1+3hbgq8meFQmcnd0ZAH3KUvNsPYoEgcYIc+mRwHDymkGqF2d3V9gvuAy58abwOEMGq
hkSc2Iwg6WNs+qOwU/4dItNbp63qPdET3DVkiItNLRpl2ZzePMO+BVUJAKEmjn7yqR90vV53+xLW
QCTo4f3rffKfwhdcdE8cAAaO1PsqmFUGen1BBRAR1uYTf/HsSlLzcde7K6VC+8NHqx+afQPgrp5m
ubB+EnKXg4TELbTZTPPdsK+uHP83GtR770XsT3HIweM/WuYV86VY/wFxF6MHQEt1NZfXJgrEDZ2H
XkdWFwjYVCOkMPwXKObzXnpxge31GTRGRIzVflGjft2hgTQDFDpxfx0WgWMnXQLDgVmmcUAyY6UA
g/B1G6jhER+oZq3nFflBKLFAgqcTgAP0YV+Wgv2nZx72KvSXLkV1ZXiWW0rUJ/snWFCIccuThTeY
gA2YebqXZLWzZ1E4gZUWZljIgGLkgEkYaHcmgQEoP02YLp4zaxgoImVoV/FBhx3oEeRXa7hmfM4m
GHqoBbb2A+5nQFcwbINIBDsoL7sTbBZQh8q2KA/REo9obpG4h8pwhmsVTuXXAC2CiZyoFL32ChGQ
UdZkMyqYg+KWif9F0Ijxcm8RA3BsYRxAVmwUIYsXp4nulVUMxHHYs3wzIG+06Hyrcop191fy54e7
+IpfSC8e9wWSFI1/sIDWEnJTdzvWWAQv43dJIHnXQjLZeBaCxwpwB472A3fgMnNPV3XfKFTqOAVe
N470WI/2eI/4mI/6uI/82I/++I8AGZACOZAEWZAGeZC+tEwI6XPPtJAKR2te4I5uFzFY54sWdXVs
wE3oRpGq4DEteAtxqAtld0+j6Dsxcwbo+Ikxs06foHZoII5GeJJJQHc34wohWQmO0HOrSAWHZxQf
t41PtXcpuSZ7BwYSKStF6XpJ2Wd/2IKVoHhUFFKaVI6x83gYVXf/iGGVYMCS0KWVD+OVXydoN8kG
jlB5z0VTy7gFO0l8fJMdmNKWKwEJ56eWa8iWMuUcKheXCbA2N7mWY9ODRsCXHZl7LQIcHSKEgXmH
QSGM/NQ4PUFWmpNskJMSgMiIilkZjNmYTmAQhFVxopERkSmFVyF4IiZinZCZSbaZl7kHL2Qchxl+
jdB99AOKg2FZElM7shOFQxQ7nIWV9VCZMPWXs8MlMsJ+qaObZwVdlYltA+gDwdkxtumU/neWhpUA
B/iGFgWUBXg7z8NSzkWdg8EXe4Kd2embQHIiz+MT+See6SmZpEgbZIgb3UNfYVZuQbaFFGhIyqBk
woGYfweUB1FO/+GTlgD2e/CjgbCYdgCaEB01oMRJM/BZV6L5WyYIHthGYgzKFg6KSa1pmP0Jm+sD
aDPIFnz1g7TxYl3mPwt2SAlCg4sXn85WNiVKZHqWa9ojgzUSISiKnxZUhJXFCHPkgz8okwy0nDda
cy64mwq0CNk1huRphi2YoezEZSlqaVQKnqRBhUECo0xZklI6pV+mXpTWJyeUbxX0MVzahQlidl+6
F1cag0h6fViKZos4BYUIBNtJRK12RI+mQ310h31oBHfKlM0haZphh/5iqErqbFSZpVBjpHl6fEUk
jR2qW6CRAucWmzhKoccARruDbO6pG8tWkg8ZY5+4EaCaZx3zQP+pmpz+Rokb54k28JxqymdakKAp
Sox1aUib+ieoSRqY8keiFayemXH7Fqas2asI9KvAOikVY4uwgm+h+iTK+lSyepozI61/AIDp5pe1
Qo1e4I0OGTDiyjXjmj9DOQRcea4vGI85Z5HsGq/yOq/0Wq/2eq/4mq/6uq/82q/++q8AG7ACO7BD
mgIDK0sGa48KyXQBgI8N2XQNa3i0GQZHuZHXBK+6MZb1Bq9ip5YTyyjXaiEjmQQR27Eg9YxHkK40
s5LuOnkoKxt5OZtE+jAvi3A2qSY5SbINS5NtAJVgUK73JJSN6rNG2bKBtZQlCIxP0JRDQrRG0LA9
+XxdUJagN5X/HamVQOtvZrmVRkuKYFkEVFuzagokGrsGYZsL7DgCUCuVGsaCXkOYSSCYwSmYehlc
b2slztiWUmUSe+lSiAG3VwWkElocfjuYeOt7OBCxSjgn/smdEaV8OjRWmRGarvp7adWCsAi5Q6ia
tAVXxaoqncu5lrl4pUmfvhq5jtmo4memNpCwiWVbS9hSM0Wr7hWd5GBqufkxM2ec/Ua4s/uxPDic
6rlZbSi8vus7zckVqJq70jmd01oDitsxxnedIgqHS2uf1YVk3/m8Y8OeylG9LtRzkTpIQAkqLZdx
AKqFPCqfyZsD4+tC98lk8XW88muqNBC97nV5jVuBhvhQA/pf/xvKvdyTGbgavkDQpuRTHAcaoRib
pBYagjiAwFnWwHIqwADgumpbcAu4vzlICTMKhDU6cICxo/WbcE6WDwWsvnFVsBcWwrlChhHioyr6
Z3HqwJMHmNHGwu1pH0YKY1w4ZosqAq5QAvgrw7Z1heOQpgbcv2XzQbxVphZcI1r6vTVswzYgwVfy
pmJ6pv0AxUzow/mZhl7Ipj2qQjJUxXXCuizgukUMketDBoyGuWL7vvizJZHWp58LJCYTqKtLqI62
JNv4p4mKx/PXUI8aT3ScHYBsnkJwPaCiuNE7qFfRiqSaoLT7AsUGCcc2RpI4iXJFDpVcs5fcqszh
yQFEyn2MSHE365zAGxyZ3LzOQ38Jq7ipaMJiMou7+pmPy6xr6qyvNRPaOqHwe6wNnLm8TLa+PLys
GCDBLLuGAHYWc8xok0HhKhAwfBgGq7i3CMtgAa7hmr77mgjrCM5CoLL9isHdYs7myMgBi7/cUrEp
S8EHGwQhAAA7

------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/oledata.mso
Content-Transfer-Encoding: base64
Content-Type: application/x-mso
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------=_NextPart_01C785BA.9F9BFD40
Content-Location: file:///C:/A7590E50/2007prob10_files/filelist.xml
Content-Transfer-Encoding: quoted-printable
Content-Type: text/xml; charset="utf-8"

<xml xmlns:o=3D"urn:schemas-microsoft-com:office:office">
 <o:MainFile HRef=3D"../2007prob10.htm"/>
 <o:File HRef=3D"image001.wmz"/>
 <o:File HRef=3D"image002.gif"/>
 <o:File HRef=3D"image003.wmz"/>
 <o:File HRef=3D"image004.wmz"/>
 <o:File HRef=3D"image005.gif"/>
 <o:File HRef=3D"oledata.mso"/>
 <o:File HRef=3D"filelist.xml"/>
</xml>
------=_NextPart_01C785BA.9F9BFD40--
