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\problemgrouptitle{Areas Between Curves}

\begin{problemblock}{Find the area of the region bounded by the given curves.}

\item $\displaystyle y=-x^2+5,\,\,\, y=2-2x$
\answer{
$\displaystyle \frac {32}3$
}

\item $\displaystyle y=x+5,\,\,\,y=x^2,\,\,x=0,\,\,x=1$
\answer{
$\displaystyle\frac {31}{6}$}

\item $\displaystyle  \,\, x=y^2,\,\,\, y=x-6$
\answer{
$\displaystyle \frac {125}{6}$
}

\item $\displaystyle  \,\, y=x^2,\,\,\, y=\sqrt x,\,\,x=0,\,\,x=4$
\answer{
$\displaystyle\frac {50}{3}$
} 

\item $\displaystyle  \,\, y=x,\,\,\, y=5x,\,\,x+y=6$
\answer{
$\displaystyle 6$
}

\end{problemblock}

\textbook{\addtoanswerkey{\clearpage}}

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