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{\bf Math 225 : Quiz\hfill Dec.\ 9, 1991}

Show your work and circle your final answer.

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1. Compute the surface area of the part of the sphere $x^2 + y^2 + z^2 = 5$ above the plane $z = 1$.


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2. Find the flux of $\F = xz \i + z^2\k$ outward through the surface $\Sigma$ cut from the semicircular cylinder $x^2 + z^2 = 1$, $z \ge 0$, by the planes $y = 0$ and $y = 1$.

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