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Quiz 10\quad Dec.~3/8, 1992\cr
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1. Let $\CC$ be the boundary of the rectangle $0 \le x \le 2$, $0 \le y \le 1$, oriented counterclockwise. Use Green's Theorem to calculate the line integral $\int_\CC y^2e^x\,dx + x e^{-y}\,dy$.
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2. Find the surface area of the parabolic sheet $z = 4 - y^2$ between the planes $y = x$ and $x = 0$ in the first octant.
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