%LaTeX file
\documentclass[12pt]{article}
\usepackage{graphicx}
\usepackage[width=7.25in,height=10in]{geometry}
\pagestyle{empty}

\begin{document}
\begin{tabbing}
\hskip36pc \= Math.\ 302-01\\
\>Spring, 2005\\
\>R. B. Kearfott
\end{tabbing}
\begin{center}
\bf Fourth Examination \\
\it Friday, March 11, 2005
\end{center}

\noindent {\small {\bf Instructions:} This exam should be done on
your own paper. Your name should be on each sheet and on the back of
the last sheet; the answers should appear written carefully and in
order. If in doubt, show intermediate steps: Full credit may not be
given, even for correct answers, unless work is arranged clearly and
explained. This exam is closed book. You may leave after handing in
your exam paper, but be sure to check your answers carefully. You
may keep this exam sheet.  Each entire problem is worth 50 points.}

\LARGE
\begin{enumerate}
   \item Find the maximum and minimum values of
   $$f(x,y) = x^2-2x+y^2+2y+2$$
   subject to
   $$g(x,y) = x^2+y^2\le 4.$$
   \item Find and classify all critical points of
   $$f(x,y) = \frac{x^3}{3} -xy^2 + y^2.$$
\end{enumerate}

\end{document}
