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%\markboth{Dr. Matthew M. Conroy - University of Washington}{Dr. Matthew M. Conroy - University of Washington}


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\begin{document}
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\vfil \noindent

{\LARGE{
\hfil Math 120 A - Autumn 2014 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil October 16, 2014 \hfil \pp
}}

\normalsize
\vfil
\medskip
\hfil Name: \hrulefill \hrulefill \hspace{0.25in} Student ID no. : \hrulefill

\vfil

\hfil Signature: \hrulefill \hrulefill \hrulefill \hrulefill \hrulefill \hspace{0.25in} Quiz Section (AA/AB/AC/AD): \rule{0.4in}{\linethickness} 
 
\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
{\small{.$_{.}$}}

\newp

\begin{enumerate}

\item The Circular Forest is a forest in the shape of a circle
with a radius of 8 km.
Maria takes a walk from a point 5 km EAST and 11 km SOUTH
of the center of the forest.
Maria walks in a straight line to a point 2 km WEST and 10 km NORTH
of the center of the forest.

\begin{enumerate}
\item How far is Maria from her starting point when she leaves the forest?

\vfil \vfil

\item How close does Maria come to the center of the forest?



\end{enumerate}

\newp

\item For each of the following functions, simplify the
expression 
\[
\frac{f(x+h)-f(x)}{h}
\]
far enough so that plugging in $h=0$ would be allowed.

\begin{enumerate}
\item $f(x)=9x+3$
\vfil

\item $f(x)=5x-4x^2$

\vfil

\end{enumerate}

\newp

\item You have a pizza with the shape
and dimensions as shown in the figure below.

\begin{tikzpicture}[scale=0.4,
blarg/.style={very thick,arrows={angle 60[scale=1.3]-angle 60[scale=1.5]}}]
\draw (0,0) -- (0,6) -- (4,6) -- (10,9) -- (10,0) -- (0,0);
\draw[blarg] (-0.5,0) -- (-0.5,6);
\draw (-1.2,3) node{6"};
\draw[blarg] (0,-0.5) -- (10,-0.5);
\draw (5,-1.0) node{10"};
\draw[blarg] (10.5,0) -- (10.5,9);
\draw (11.4,5) node{9"};
\draw[blarg] (0,6.5) -- (4,6.5);
\draw (2,7.2) node{4"};

\end{tikzpicture}

Suppose you make a vertical cut $x$ inches from the left-edge.
Express the area to the left of the cut as a multipart function of $x$.



\newp

\item Aliyah and Zack start moving in the $xy$-plane at the same time.
Aliyah starts from the point $(1,-3)$ and she moves directly toward the point $(6,8)$,
reaching $(6,8)$ in 4 seconds.

Zack starts from the point $(-2,6)$ and 
moves directly toward the point $(10,-9)$.
Zack crosses the $x$-axis at the same time that Aliyah does.

All distance units are meters (so, for example, the point $(1,0)$
is $1$ meter from $(0,0)$.)

\begin{enumerate}

\item Write parametric equations for Aliyah's position $t$ seconds after she starts moving. 

\vfil 

\item How fast does Zack move?

\vfil

\end{enumerate}

\end{enumerate}

\end{document}


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