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\textbf{Math 225: Calculus III}
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\textbf{Quiz 5}\quad \textsl{Feb. 27/29, 1996}
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\item 
Find the equation of the plane tangent to the surface
$z = y^3 - x y^2 + x^2$
at the point $(3,2,5)$.
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\item 
Determine the direction in which the function
    $f(x,y,z) = x^2 y z^3 - x + y^2$
increases most rapidly at the point $(1,2,1)$ and calculate the derivative of
$f(x,y,z)$ at $(1,2,1)$ in this direction.
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