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\begin{document}

\noindent
\vfil \noindent
\large
\hfil Math 120 A - Spring 2008 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil May 22, 2008 \hfil \pp
\normalsize
\vfil
\medskip
\hfil Name: \hrulefill \hrulefill \hspace{0.5in} Student ID no. : \hrulefill

\vfil

\hfil Signature: \hrulefill \hrulefill \hrulefill \hspace{0.5in} Section: \hrulefill 
 
\vfil
\begin{center}
{\large
\begin{tabular}{||c|c|r||} \hline 
 1 & 10 &\hspace{10mm} \hfil\\ \hline 
 2 & 10 &       \\ \hline
 3 & 10 &      \\ \hline
4 &  10 &    \\ \hline
Total & 40 & \\ \hline 
\end{tabular}
}
\end{center}
\vfil
\begin{itemize}
\item Complete all four questions. 
\item You may use a scientific calculator during this
examination.  Graphing calculators are not allowed.
Also, other electronic devices are not allowed, and should be
turned off and put away for the duration of the exam.
\item If you use a trial-and-error or guess-and-check method,
or read a numerical solution from a graph on your calculator
when an algebraic method is available, you will not receive full credit.
\item You may use one hand-written 8.5 by 11 inch page of notes.  Write
your name on your notesheet and turn it in with your exam.
\item Show all work for full credit.  
\item You have 50 minutes to complete the exam. 
\end{itemize}
\vfil
.$_.$

\newp

\begin{enumerate}

\item The height of Rita's favorite tree is a linear-to-linear rational function
of time.  Today, it is 8 feet tall. Five years from today, it will be 12 feet tall.
Twenty years from today it will be 16 feet tall.

When will the tree be 18 feet tall?  Express your answer is years from today.

\newp

\item Sven is running clockwise around a circular track.  
Sven runs at 3.5 meters per second, and it takes him 82 seconds to 
complete a lap of the track.
From his starting point, it takes him 14 seconds to reach the southernmost point
of the track.

After running for 20 minutes, how far (in a straight line) 
is Sven from the northmost point of the track?

\newp

\item The depth of the water in the bird bath in Louise's yard is
a sinusoidal function of time.  At 3:00 AM today, the water was at its
minimum depth, only 4 cm deep.  The depth then increased, and will reach 
the maximum depth of 10 cm at 11:00 PM tonight.  

How deep will the water be at 5:00 PM today?

\newp

\item Let $f(x)=|2x-4|$ and
\[
g(x) = \left\{ 
\begin{array}{ll}
	x	& \mbox{if $x<-1$,} \\
	2x+1 & \mbox{if $-1 \le x \le 3$,} \\
	3-x & \mbox{if $x>3$.} 
	\end{array}
\right.
\]

Write the multipart rule for the function $h(x)=f(x)+g(x)$.




\end{enumerate}


\end{document}


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