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\begin{document}

\noindent
\vfil \noindent
\large
\hfil Math 120 A - Winter 2008 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil February 28, 2008 \hfil \pp
\hfil Answers \hfil \pp
\normalsize
\vfil
\medskip

There were two versions of the exam.

\vfil

Version A: In problem 1, Paolo runs at 3 meters per second.

\begin{enumerate}

\item 256.0182 m
\item 22.63158 feet
\item (a) 29.064178 cm (b) 3.74501, 16.25498, 21.74501
\item (a) 
\[
h(x) = \left\{ \begin{array}{ll}
	7- \frac{1}{2}x & \mbox{if $x \le -1$,} \\
	5-\frac{5}{2}x & \mbox{if $-1 \le x < 2$,} \\
	8-4x & \mbox{if $x \ge 2$.} 
	\end{array}
	\right.
\]
(b) Yes.  A quick sketch of the graph of this function and a mention of
the horizontal line test (or equivalent statements) would suffice as an
explanation.

\end{enumerate}


Version B: In problem 1, Paolo runs at 4 meters per second.

\begin{enumerate}

\item 55.7333 m
\item 12.5676 feet
\item (a) 28.92919 cm (b) 6.506137, 11.49386, 20.506137
\item (a)
\[
h(x) = \left \{ \begin{array}{ll}
	3x-4 & \mbox{if $x \le -2$,} \\
	x-8  & \mbox{if $-2 \le x \le -1$,} \\
	3x+8 & \mbox{if $x > -1$.} \\
\end{array}
\right.
\]
(b)  Yes.  A quick sketch of the graph of this function and a mention of
the horizontal line test (or equivalent statements) would suffice as an
explanation.

\end{enumerate}


\end{document}




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