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\vfil \noindent

{\LARGE{
\hfil Math 120 A Autumn 2011 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil November 17, 2011 \hfil \pp
\hfil Answers \hfil \pp
}}

\normalsize

There were two versions of the exam.

\medskip

In version A, Bianca starts from (3,4).

\begin{enumerate}
\item (a) $x=3-\frac{11}{8}t, y = 4-\frac{1}{4} t$
(b) $x=-5+t, y=3-\frac{1}{2} t$
(c) 3.2876 seconds after they start.

\item (a) 7.02985 cm (b) 2.8 days from today.
\item 47.4085 years after 2000.
\item (a) $g^{-1}(x) = 5-\sqrt{x+6}$ (b) $x = 8 \pm 2 \sqrt{3}$.

\end{enumerate}

\medskip

In version B, Bianca starts from (7,-1).

\medskip

\begin{enumerate}
\item (a) $x=7-\frac{1}{2}t, y = -1 + \frac{3}{4}t$
(b) $x=10+\frac{1}{4} t, y = 5 - \frac{5}{2} t$
(c) 1.55056 seconds after they start.
\item (a) 13.43396 cm (b) 13.5 days from today.
\item 63.7737 years after 2000
\item (a) $g^{-1}(x) = 8 - \sqrt{x+33}$ (b) $x = 10 \pm \sqrt{42}$
\end{enumerate}

\end{document}


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