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	<id>https://gradwiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=007B_Sample_Midterm_3%2C_Problem_1</id>
	<title>007B Sample Midterm 3, Problem 1 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://gradwiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=007B_Sample_Midterm_3%2C_Problem_1"/>
	<link rel="alternate" type="text/html" href="https://gradwiki.math.ucr.edu/index.php?title=007B_Sample_Midterm_3,_Problem_1&amp;action=history"/>
	<updated>2026-04-20T21:58:12Z</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=007B_Sample_Midterm_3,_Problem_1&amp;diff=4091&amp;oldid=prev</id>
		<title>Kayla Murray at 01:33, 13 November 2017</title>
		<link rel="alternate" type="text/html" href="https://gradwiki.math.ucr.edu/index.php?title=007B_Sample_Midterm_3,_Problem_1&amp;diff=4091&amp;oldid=prev"/>
		<updated>2017-11-13T01:33:00Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:33, 13 November 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;Divide the interval &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;[0,\pi]&amp;lt;/math&amp;gt;&amp;amp;nbsp; into four subintervals of equal length &amp;amp;nbsp; &amp;lt;math&amp;gt;\frac{\pi}{4}&amp;lt;/math&amp;gt; &amp;amp;nbsp; and compute the right-endpoint Riemann sum of &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;y=\sin (x).&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;Divide the interval &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;[0,\pi]&amp;lt;/math&amp;gt;&amp;amp;nbsp; into four subintervals of equal length &amp;amp;nbsp; &amp;lt;math&amp;gt;\frac{\pi}{4}&amp;lt;/math&amp;gt; &amp;amp;nbsp; and compute the right-endpoint Riemann sum of &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;y=\sin (x).&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;hr&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;hr&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(insert picture of handwritten solution)&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[007B Sample Midterm 3, Problem 1 Solution|'''&amp;lt;u&amp;gt;Solution&amp;lt;/u&amp;gt;''']]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[007B Sample Midterm 3, Problem 1 Detailed Solution|'''&amp;lt;u&amp;gt;Detailed Solution&amp;lt;/u&amp;gt;''']]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[007B Sample Midterm 3, Problem 1 Detailed Solution|'''&amp;lt;u&amp;gt;Detailed Solution for this Problem&amp;lt;/u&amp;gt;''']]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[007B_Sample_Midterm_3|'''&amp;lt;u&amp;gt;Return to Sample Exam&amp;lt;/u&amp;gt;''']]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[007B_Sample_Midterm_3|'''&amp;lt;u&amp;gt;Return to Sample Exam&amp;lt;/u&amp;gt;''']]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kayla Murray</name></author>
	</entry>
	<entry>
		<id>https://gradwiki.math.ucr.edu/index.php?title=007B_Sample_Midterm_3,_Problem_1&amp;diff=3898&amp;oldid=prev</id>
		<title>Kayla Murray: Created page with &quot;&lt;span class=&quot;exam&quot;&gt;Divide the interval &amp;nbsp;&lt;math style=&quot;vertical-align: -5px&quot;&gt;[0,\pi]&lt;/math&gt;&amp;nbsp; into four subintervals of equal length &amp;nbsp; &lt;math&gt;\frac{\pi}{4}&lt;/math&gt; &amp;...&quot;</title>
		<link rel="alternate" type="text/html" href="https://gradwiki.math.ucr.edu/index.php?title=007B_Sample_Midterm_3,_Problem_1&amp;diff=3898&amp;oldid=prev"/>
		<updated>2017-11-05T02:08:09Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;span class=&amp;quot;exam&amp;quot;&amp;gt;Divide the interval  &amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;[0,\pi]&amp;lt;/math&amp;gt;  into four subintervals of equal length   &amp;lt;math&amp;gt;\frac{\pi}{4}&amp;lt;/math&amp;gt; &amp;amp;...&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;Divide the interval &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;[0,\pi]&amp;lt;/math&amp;gt;&amp;amp;nbsp; into four subintervals of equal length &amp;amp;nbsp; &amp;lt;math&amp;gt;\frac{\pi}{4}&amp;lt;/math&amp;gt; &amp;amp;nbsp; and compute the right-endpoint Riemann sum of &amp;amp;nbsp;&amp;lt;math style=&amp;quot;vertical-align: -5px&amp;quot;&amp;gt;y=\sin (x).&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;hr&amp;gt;&lt;br /&gt;
(insert picture of handwritten solution)&lt;br /&gt;
&lt;br /&gt;
[[007B Sample Midterm 3, Problem 1 Detailed Solution|'''&amp;lt;u&amp;gt;Detailed Solution for this Problem&amp;lt;/u&amp;gt;''']]&lt;br /&gt;
&lt;br /&gt;
[[007B_Sample_Midterm_3|'''&amp;lt;u&amp;gt;Return to Sample Exam&amp;lt;/u&amp;gt;''']]&lt;/div&gt;</summary>
		<author><name>Kayla Murray</name></author>
	</entry>
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