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\noindent
\vfil \noindent
\large
\hfil Math 120 D - Autumn 2007 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil November 15, 2007 \hfil \pp
\hfil Answers \hfil \pp
\normalsize

There were two versions.

Version A (in problem 1, Jean will get 40 points if she doesn't study)

\begin{enumerate}
\item 65 hours
\item 
\begin{enumerate}
\item 
\[
h(x) = \left\{ \begin{array}{ll}
x^2 - 2 & \mbox{ if $x \ge 2$} \\
x^2-2x+2 & \mbox{ if $0 \le x \le 2$} \\
x^2+2 & \mbox{ if $x \le 0$}
\end{array}
\right.
\]
\item No: $f(x)$ is not one-to-one.  This can be seen by
the fact that $f(1)=0=f(-1)$.
\end{enumerate}
\item 63.037 meters
\item 27.1718 grams
\end{enumerate}


Version B (in problem 1, Jean will get 30 points if she doesn't study)

\begin{enumerate}
\item 32.857 hours
\item 
\begin{enumerate}
\item 
\[
h(x) = \left\{ \begin{array}{ll}
x^2 - 3 & \mbox{ if $x \ge 3$} \\
x^2-2x+3 & \mbox{ if $0 \le x \le 3$} \\
x^2+3 & \mbox{ if $x \le 0$}
\end{array}
\right.
\]
\item No: $f(x)$ is not one-to-one.  This can be seen by
the fact that $f(1)=0=f(-1)$.
\end{enumerate}
\item 94.4349 meters
\item 37.1777 grams

\end{enumerate}


\end{document}


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