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\noindent
\vfil \noindent
\large
\hfil Math 120 B - Autumn 2010 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil November 18, 2010 \hfil \pp
\hfil Answers \hfil \pp

\normalsize

There were two versions of the exam.

\medskip

Version A - Problem 1 involved 100 cm of wire.

\begin{enumerate}

\item (a) 9.97037 cm (b) 0 cm
\item $\frac{26}{3} \pi$ cm
\item 20552.77
\item There are infinitely many correct answers.  One is 
\[
f(x)=\frac{10}{x-3}.
\]
\end{enumerate}

Version B - Problem 1 involved 60 cm of wire.

\begin{enumerate}
\item (a) 8.4626197 cm (b) 0 cm
\item $\frac{1188}{65} \pi cm$
\item 12540.55
\item There are infinitely many correct answers.  One is 
\[
f(x)=\frac{19}{x-18}.
\]
\end{enumerate}

\end{document}


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