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	<id>https://gradwiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=007A_Sample_Final_2%2C_Problem_5</id>
	<title>007A Sample Final 2, Problem 5 - Revision history</title>
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	<updated>2026-04-20T18:36:33Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://gradwiki.math.ucr.edu/index.php?title=007A_Sample_Final_2,_Problem_5&amp;diff=4517&amp;oldid=prev</id>
		<title>Kayla Murray: Created page with &quot;&lt;span class=&quot;exam&quot;&gt;The velocity &amp;nbsp;&lt;math style=&quot;vertical-align: 0px&quot;&gt;V&lt;/math&gt;&amp;nbsp; of the blood flow of a skier is modeled by  ::&lt;math&gt;V=375(R^2-r^2)&lt;/math&gt;  &lt;span class=&quot;...&quot;</title>
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		<updated>2017-12-03T06:33:22Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;The velocity  &amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;V&amp;lt;/math&amp;gt;  of the blood flow of a skier is modeled by  ::&amp;lt;math&amp;gt;V=375(R^2-r^2)&amp;lt;/math&amp;gt;  &amp;lt;span class=&amp;quot;...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;The velocity &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;V&amp;lt;/math&amp;gt;&amp;amp;nbsp; of the blood flow of a skier is modeled by&lt;br /&gt;
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::&amp;lt;math&amp;gt;V=375(R^2-r^2)&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;where &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;R&amp;lt;/math&amp;gt;&amp;amp;nbsp; is the radius of the blood vessel, &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;r&amp;lt;/math&amp;gt;&amp;amp;nbsp; is the distance of the blood flow from the center of the vessel and is a constant. Suppose the skier's blood vessel has radius &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: 0px&amp;quot;&amp;gt;R=0.08&amp;lt;/math&amp;gt;&amp;amp;nbsp; mm and that cold weather is causing the vessel to contract at a rate of &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -13px&amp;quot;&amp;gt;\frac{dR}{dt}=-0.01&amp;lt;/math&amp;gt;&amp;amp;nbsp; mm per minute. How fast is the velocity of the blood changing?&lt;br /&gt;
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&amp;lt;hr&amp;gt;&lt;br /&gt;
[[007A Sample Final 2, Problem 5 Solution|'''&amp;lt;u&amp;gt;Solution&amp;lt;/u&amp;gt;''']]&lt;br /&gt;
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[[007A Sample Final 2, Problem 5 Detailed Solution|'''&amp;lt;u&amp;gt;Detailed Solution&amp;lt;/u&amp;gt;''']]&lt;br /&gt;
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[[007A_Sample_Final_2|'''&amp;lt;u&amp;gt;Return to Sample Exam&amp;lt;/u&amp;gt;''']]&lt;/div&gt;</summary>
		<author><name>Kayla Murray</name></author>
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