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\textbf{Math 225: Calculus III}
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\textbf{Quiz 5}\quad \textsl{Feb. 25/27, 1997}
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\begin{enumerate}
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\item 
Find the equation of the plane tangent to the surface $x^3 y - z^3 x = 2$ at
the point $(1,3,1)$.

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\problemspace
\item 
Show that the points $(1, 1)$ and $(-1,-1)$ are critical points of the
function $f(x,y) = 2y^3 - 3 y + 2 x^3 - 3x^2 y$ and determine whether
these points are local maxima, local minima, or saddle points.

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