\documentclass[12pt]{report} 

\usepackage{palatino}
\usepackage{epsfig}

\pagestyle{empty} %%% this results in no pagenumbers (footer is empty}

\addtolength{\oddsidemargin}{-1.0in}
\addtolength{\evensidemargin}{-1.0in}
\addtolength{\textwidth}{1.5in}
\addtolength{\topmargin}{-0.5in}
\addtolength{\textheight}{1.0in}

\baselineskip=20pt

\newcommand{\dsps}{\displaystyle}
\newcommand{\pp}{\par \noindent}
\newcommand{\newp}{\vfil \eject}
%\newcommand{\newp}{\bigskip}

\begin{document}

\noindent
\vfil \noindent
\large
\hfil Math 120 B, C - Autumn 2008 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil November 13, 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.  Graphic 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 You have 195 meters of fencing with which to make a rectangular enclosure.
You will use the fencing to create the rectangle, and to make partitions as shown in
the example below
to create 12 rectangular sections inside the rectangle.

\epsfig{file=enclosure02.eps, 
 width=9cm,
 angle=0 }

What should the dimensions of the enclosure be to make the area of the enclosure
as large as possible? 

\newp

\item Rita has been practicing throwing a javelin.  
Without practicing, she could throw it 10 meters.
After practicing for 20 hours, she could throw it 30 meters.
The more she practices, the farther she will be able to throw it, but she will never be
able to throw it more than 80 meters.  The length of her throws
is a linear-to-linear rational function of the number of hours that she practices.

\begin{enumerate}

\item 
Find the function, $f(x)$, relating the length of her throws to the number of hours, $x$, 
that she practices.
\vfil 
\vfil
\vfil

\item Find the inverse function of the function, $f(x)$, that you found in part (a).


\end{enumerate}

\newp

\item Godzilla is attacking - you must flee!  As you flee, you will
take measurements to hopefully help defeat Godzilla.  You first measure the
angle from the ground up to the top of Godzilla's head; the angle is 62$^\circ$.
You then run 120 meters farther from Godzilla and measure again; this time
the angle is 58$^\circ$.  However, between the two measurements, Godzilla grew
5 percent taller.

Find Godzilla's height at the time of the second measurement.

\newp

\item After injecting a certain drug, the diameter of Sven's pupil is a
sinusoidal function of time.  Ten minutes after the injection, his pupil was 
at its maximum size: the diameter was 8 mm.  His pupil then shrunk to its
minimum diameter, 2 mm, 75 minutes after the injection. 

What was the diameter of his pupil one hour after the injection?


\end{enumerate}


\end{document}


% \epsfig{file=pizza01.eps, 
% width=11cm,
% angle=0 }