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\centerline
{
\bf ``QUIZ'' for Nov. 12, 2009
}
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{\bf NAME:} (print!) $\underline
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{\quad \bf Section:}
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{\bf E-MAIL ADDRESS:} (print!) 
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{\bf 1.} 
Find an equation for the tangent plane to the parametric surface
$$
x=v^2 \quad , \quad y=u+v \quad, \quad z=u^2 \quad ,
$$
at the point $(1,2,1)$. Simplify as much as you can!

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{\bf 2.} 
Evaluate the surface integral
$$
\int\int_S  \, z \, dS \quad ,
$$ 
where $S$ is the triangular region
with vertices $(2,0,0),(0,2,0),(0,0,2)$.


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