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\textbf{Math 225: Calculus III}
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\textbf{Quiz 5}\quad \textsl{October 9, 2003}
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1. Find the local maximum and minimum values and saddle point(s) of the
function $f(x,y)=x^3y+y^2-12xy$.

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2. Use Lagrange multipliers to find the maximum and minimum values of the
function $f(x,y) = x + 2y$ subject to the constraint $x^2+y^2=1$.
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