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\centerline{MATH 134 -- Calculus with Fundamentals 2}
\centerline{Quiz 3 -- February 23, 2018}
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\noindent
Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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\noindent
{\it Directions}
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There are 30 total points possible (distributed as indicated in the questions on both sides).  
You may use a calculator, but not a phone or
any other electronic device.  
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\noindent
\begin{enumerate}
\item[(A)] (10) Refer to Figure 1 on the back showing the region bounded
by $y = x^3$ and $y = 9x$ for $x$ in $[0,3]$.  Set up and compute the integral
giving the \emph{area} bounded by these curves.  
\vglue 3.0truein

\item[(B)]  (10) Set up and compute the integral giving the \emph{volume}
of the solid generated by the region bounded by $y = x + 3$, $x = 1$, $x = 3$
and the $x$-axis, \emph{rotated about the $x$-axis}.  
\vglue 3.0truein
\end{enumerate}
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\begin{figure}
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\includegraphics[width=.5\linewidth]{Q3P.png}
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\caption{The region for Problems A and C.}
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\begin{enumerate}
\item[(C)]  (10) Refer again to the region shown in Figure 1.  Set up 
the integral for the \emph{volume} of the solid generated by rotating that 
region about the line $y =-1$.  \emph{You are not to compute the integral, just 
set it up.}
\vglue 3.5truein
\end{enumerate}


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