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\textbf{Math 225: Calculus III}
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\textbf{Quiz 4}\quad \textsl{September 25, 2003}
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1. Find the limit
$\lim_{(x,y,z)\to (0,0,0)} \frac{xy+2yz+3xz}{x^2+y^2+z^2}$\quad
or show it does not exist.

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2. Find the slope of the line tangent to the curve of intersection of the
surface $z = \sin(2x^2y-y^2)$ and the plane $x=1$ at the point $(1,2,0)$.

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