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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 10}\quad {\sl Dec.\ 3, 1998}

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\item Find the equation of the line tangent to the curve defined by
\[ 2x^2+y^2 - \sin(\pi y/x) = 8 \] at the point $(2,1)$.

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\item Find the maximum and minimum of the function $f(x) = 3 x^4 +2 x^3
-3 x^2$ on the interval $[-2,1]$.

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\item Sand is being poured into a pile that maintains the shape of
a right circular cone whose base diameter is twice the height of the
pile.  Suppose at 2~P.M., the sand is being poured on at a rate of 10
$\mathrm{ft}^3/\mathrm{sec}$ and the height of the pile is 5 ft. How fast
is the diameter of the base increasing at 2~P.M.?

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