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\textbf{Math 225: Calculus III}
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\textbf{Quiz 9}\quad \textsl{December 6, 2001}
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Let $S$ be the the part of the surface $z = \sqrt{x^2 + y^2}$ in the first
octant below $z = 1$.

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(a) Compute the surface integral $\iint_S xyz\,dS$.
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(b) Compute the flux integral $\iint_S \F\cdot \n\,dS$ where
$\F = x\i + y\j + z\k$, and $\n$ is the \emph{downward} unit normal.

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