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\textbf{Math 225: Calculus III}
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\textbf{Quiz 5}\quad \textsl{October 11, 2001}
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1. The critical points of the function $f(x,y) = x^3 + y^3 - 3xy$ are
$(0,0)$ and $(1,1)$. Determine whether each point is a local maximum, a
local minimum, or a saddle point.

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2. Find the absolute maximum and minimum values of $f(x,y) = x^2 + 2xy -
2y - 2x$ in the closed triangular region with vertices $(0,0)$, $(2,2)$,
and $(2,-2)$.

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