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\leftline{Mathematics 134 -- Intensive Calculus for Science 2}
\leftline{Quiz 5 -- March 3, 2006}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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Do all work on this sheet (front and back if needed).  You have 15 minutes.
{\it No calculators on this quiz}.
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A)  (10) The LEFT(4), RIGHT(4), MID(4), and TRAP(4) 
methods are used to approximate $\int_0^4 f(x)\ dx$ for the function 
below.  Which method will give the {\it largest} numerical value?  Which
will give the {\it second-largest}? 

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\leftline{\it Answers:}
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\leftline{Largest:}
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\leftline{Second-Largest:}
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B)  (15)  Find the volume of the solid of revolution obtained
by rotating the region bounded by $y = x^2$, the $x$-axis, $x = 0$
and $x = 2$ about the line $y = -1$.    
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