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\textbf{Math 225: Calculus III}
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\textbf{Quiz 6}\quad \textsl{Mar. 4/6, 1997}
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\begin{enumerate}
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\item 
Let $R$ be the triangular region bounded by the lines $y=2+x$, $y=2-x$,
and $y=0$. Find the maximum and minimum values of $f(x,y) = x^2 - x y +
x$ on $R$ and the points where they occur.


\answerspace

\problemspace
\item 
Find the extreme values of $f(x,y) = \sin(x y)$ subject to the constraint
$x^2 + y^2 = 1$.


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