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\newcommand{\pp}{\par \noindent}
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\begin{document}


\noindent
\vfil \noindent

{\LARGE{
\hfil Math 120 A Autumn 2011 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil October 20, 2011 \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}
{\Huge
\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 Show all work for full credit. 
\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
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 You have 50 minutes to complete the exam. 
\end{itemize}
\vfil
.

\newp

\begin{enumerate}

\item Maggie is moving in an $xy$-plane, with coordinates in meters.  
She moves at the constant speed of 6 meters per second.  
She starts at the point $(12,3)$ and heads toward the $y$-axis
along the line $y=\frac{1}{3}x-1$.

\begin{enumerate}
\item Give Maggie's parametric equations of motion.

\vfil

\vfil

\item Give an expression for the distance from Maggie's location to the
origin $t$ second after she starts moving.

\end{enumerate}

\newp

\item Jerry painted a bright yellow circle on Red Square.  The circle had a radius of 25 feet.
He then walked from a point 31 feet due south of the center of the circle directly
to a point 8 feet north and 37 feet west of the center of the circle.

Jerry walked at a constant speed of 5 feet per second.

On Jerry's walk, how much time was he inside the circle?



\newp

\item Let $f(x)$ be a quadratic function.  
Suppose $f(1)=2, f(5)=10,$ and $f(10)=8$.

\begin{enumerate}

\item Find $f(7)$.

\vfil \vfil

\item What is the smallest value of $f(x)$ on the interval $6 \le x \le 12$?


\end{enumerate}

\newp

\item Let $\dsps g(x)=3+x+\left|1- \frac{1}{2}x\right|$.  Find all solutions to the equation 
\[
g(x)=\frac{x}{3}.
\]

\end{enumerate}




\end{document}


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