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\textbf{Math 225: Calculus III}
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\textbf{Quiz 5}\quad \textsl{Feb. 28/Mar. 2, 1995}
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\begin{enumerate}
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\item 
Find the direction in which the function $f(x,y) = x e^{xy-2}$ is increasing most
rapidly at the point $(1,2)$.
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\problemspace
\item 
Find the critical points of the function $f(x,y) = x^2 y - 2x y + \frac{1}{2}y^2$.
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