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\centerline
{
\bf ``QUIZ'' for Lecture 7
}
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{\bf NAME:} (print!) $\underline
{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
$\underline
{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
\bigskip


{\bf 1.} Compute the partial derivatives with respect to $x$ and $y$.
$$
z= \ln (x^2+y^3) \quad.
$$
\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip
\bigskip\bigskip\bigskip\bigskip

{\bf 2.}
Find an equation of the tangent
plane to the given surface at the specified point.
$$
z=x^2+y^2+2 \quad , \quad (1,1,4) \quad .
$$


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$$



