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\title{Math 1b. More about Areas}

\date{Spring 2006}

\begin{document}

\maketitle





\begin{enumerate}

\item 
Find the area bounded by
\begin{eqnarray*}
x & = & 0 \\
x & = & 2 \\
y & = & \frac{1}{x+1} \\
y & = & \sqrt{x + 2}
\end{eqnarray*}

\vfill

\item 
Find the area bounded by
\begin{eqnarray*}
y & = & x \\
y & = & x^2
\end{eqnarray*}

\vfill


\item 
Find the area bounded by
\begin{eqnarray*}
x & = & y^2 - 4y \\
x & = & 2y - y^2 
\end{eqnarray*}

\vfill

\clearpage

\item
A cross-section of an airplane wing has length 200 cm.  Measurements of the thickness of the wing, in centimeters, at 20-centimeter intervals are 5.8, 20.3, 26.7, 29.0, 27.6, 27.3, 23.8, 20.5, 15.1, 8.7, and 2.8.  Use Simpson's Rule to estimate the are of the wing's cross-section.

\vfill

\item 
Find the area bounded by
\begin{eqnarray*}
y & = & |x| \\
y & = & x^2 - 2 \\
\end{eqnarray*}

\vfill
\item 
Find the area bounded by
\begin{eqnarray*}
y & = & 1/x \\
y & = & x \\
y & = & x/4
\end{eqnarray*}

\vfill


\end{enumerate}



 \end{document}