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\textbf{Math 225: Calculus III}
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\textbf{Quiz 10}\quad \textsl{Apr. 22/24, 1997}
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\begin{enumerate}
\problemspace
\item 
Let $\Sigma$ be the portion of the surface defined by $x^2 + y + z = 4$
that lies in the first octant. Express the surface area of $\Sigma$ as an
iterated integral in the variables $y$ and $z$. (Do not evaluate the
integral.)
\[
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\]
\answerspace

\problemspace
\item 
Let $\Sigma$ be the portion of the plane $3x + 2y + z = 6$ that lies in the
first octant. Compute the surface integral
$\iint_\Sigma(x + 2y + z)d\sigma$.
\[
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\]
\answerspace

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