009A Sample Midterm 3 - Revision history

MathAdmin: /* Problem 2 */

2017-11-12T00:05:01Z

Problem 2

2017-11-11T20:22:08Z

Problem 3

2017-11-07T16:12:12Z

2017-04-20T14:56:50Z

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 == [[009A_Sample Midterm 3,_Problem_2|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 2&nbsp;</span>]] ==
-<span class="exam">The position function &nbsp;<math style="vertical-align: -5px">s(t)=-4.9t^2+200</math>&nbsp; gives the height (in meters) of an object that has fallen from a height of 200 meters.
+<span class="exam">Sketch the graph of &nbsp;<math style="vertical-align: -4px">f.</math>&nbsp; At each point of discontinuity, state whether &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; is left or right continuous.
-<span class="exam">The velocity at time &nbsp;<math style="vertical-align: -1px">t=a</math>&nbsp; seconds is given by:
+::<math>f(x)=\begin{array}{cc}
-::<math>\lim_{t\rightarrow a} \frac{s(t)-s(a)}{t-a}</math>
+  \Bigg\{ &
+    \begin{array}{cc}
+      x^3+1 & x\leq 0 \\
-<span class="exam">(a) Find the velocity of the object when &nbsp;<math style="vertical-align: -1px">t=3.</math>
+      -x+1 & 0< x< 2 \\
+      -x^2+10x-15 & x\ge 2
-<span class="exam">(b) At what velocity will the object impact the ground?
+    \end{array}
 == [[009A_Sample Midterm 3,_Problem_3|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 3&nbsp;</span>]] ==

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 == [[009A_Sample Midterm 3,_Problem_3|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 3&nbsp;</span>]] ==
-<span class="exam"> Use the definition of the derivative to compute &nbsp; <math>\frac{dy}{dx}</math> &nbsp; for &nbsp;<math style="vertical-align: -4px">y=3\sqrt{-2x+5}.</math>
+<span class="exam"> Let &nbsp;<math style="vertical-align: -3px">y=3\sqrt{2x+5},x\ge 0.</math>
 == [[009A_Sample Midterm 3,_Problem_4|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 4&nbsp;</span>]] ==

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 == [[009A_Sample Midterm 3,_Problem_4|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 4&nbsp;</span>]] ==
 <span class="exam"> Find the derivatives of the following functions. Do not simplify.
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 <span class="exam">(b)&nbsp; <math>g(x)=\sqrt{x}+\frac{1}{\sqrt{x}}+\sqrt{\pi}</math>&nbsp; for &nbsp;<math style="vertical-align: 0px">x>0.</math>
-== [[009A_Sample Midterm 3,_Problem_6|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 6&nbsp;</span>]] ==
+== [[009A_Sample Midterm 3,_Problem_5|<span class="biglink"><span style="font-size:80%">&nbsp;Problem 5&nbsp;</span>]] ==
 <span class="exam"> Find the derivatives of the following functions. Do not simplify.

← Older revision		Revision as of 14:56, 20 April 2017
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	<span class="exam">(c)  <math style="vertical-align: -6px">h(x)=(x+\cos^2x)^8</math>		<span class="exam">(c)  <math style="vertical-align: -6px">h(x)=(x+\cos^2x)^8</math>
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		+	'''Contributions to this page were made by [[Contributors\|Kayla Murray]]'''