\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 D - Autumn 2007 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil November 15, 2007 \hfil \pp
\normalsize
\vfil
\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 questions.
\item You may use a calculator during this
examination.
Other electronic devices are not allowed, and should be
turned off 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.
\item Show all work for full credit.
\item You have 50 minutes to complete the exam.
\end{itemize}
\vfil
.

\newp

\begin{enumerate}

\item The more Jean studies, the better she will do on her English exam.
If she doesn't study at all, she'll get a score of 40 points.
If she studies for 10 hours, she'll get a score of 55 points.
If she studies for 20 hours, she'll get a score of 60 points.
Her score on the exam is a linear-to-linear rational function of the number of
hours that she studies.

If Jean decides that she needs a score of 66 points on the exam, how much
should she study?

\newp

\item Let
\[
f(x) = x^2-|x|
\]
and
\[
g(x) = |x-2|.
\]

\begin{enumerate}
\item Write the multipart rule for the function $h(x) = f(x)+g(x)$.
\vfil
\vfil
\item Does $f(x)$ have an inverse?  If so, find the multipart rule for it.
If not, explain why not.
\end{enumerate}

\newp

\item Oleg is running around a circular track.  He runs at 3 meters per second
and it takes him 73 seconds to complete each lap of the track.
He starts running from the northermost point of the track, and runs
clockwise for 5 minutes.  When he stops, how far (in a straight line) from the westernmost point of the
track is he?

\newp

\item The weight of a vole (a small rodent) is a sinusoidal function of time.
Today, the vole weighs 30 grams, its maximum possible weight.
The vole's weight will decrease until it reaches its minimum,
27 grams, 13 days from today.

How much will the vole weigh 15 days from today?

\end{enumerate}

\end{document}


% \epsfig{file=enclosure01.eps,
% width=11cm,
% angle=0 }
















