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\fancyhead[L]{\footnotesize MTH 1733}
\fancyhead[C]{\footnotesize Quiz 2}
\fancyhead[R]{\footnotesize Fall 1997}
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%setup the questions
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\begin{document}
%\author{Alexander I.~Suciu}
\thispagestyle{plain}

\begin{center}
\bfseries 
{Prof. A. Suciu\hspace*{\fill} Name: \Blank5}\\[1pc]
{MTH 1733 % Honors Calculus 1 
\hspace*{\fill} {\Large QUIZ 2} \hspace*{\fill} Fall 1997}\\[1.5pc]
\end{center}


\begin{questions}

\item Sketch the curve $\DS{y=x^3+\frac{3}{2} x^2-6x+4}$, indicating 
all relative extreme points and inflection points.

\vs

\vs

\item Use derivatives to estimate the value of $\DS{\root{3}\of{27.5}}$.  
Compare the answer to the calculator answer---to how many decimals do 
the two answers agree?

\vs

\newpage


\item For each of the following curves, determine the equations of 
the asymptotes, if any:
\begin{parts}
\item  $\DS{y=\frac{x-1}{x^2-9}}$
\vs
\item  $\DS{y=\frac{2x+2}{3x-4}}$
\vs
\item  $\DS{y=\frac{x^3+2}{x^2+4}}$
\vs
\item  $\DS{y=\frac{3}{\sqrt{x}}+\frac{x}{2}-5}$
\end{parts}

\vs

\item Differentiate the following functions:
\begin{parts}
\item $\DS{f(x)=(x^3+x^{-\frac{2}{5}})(x^2-x^{\frac{2}{5}})}$
\vs
\item $\DS{f(x)=((x^2+1)^3+1)^4}$
\vs
\item $\DS{f(x)=\frac{\DS{\frac{1}{x}}-x}{\DS{\frac{1}{x}}+x}}$
\vs
\end{parts}

\vs
\end{questions}
\end{document}
