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\leftline{Mathematics 241 -- Multivariable Calculus}
\leftline{Quiz 7 -- November 12, 2010}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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Let $f(x,y) = \sin(x) - \sin(y)$.
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A) (10) $f$ has a critical point at $(x,y) = (\pi/2, \pi/2)$.  
Classify it as a local maximum, local minimum, or a saddle point
using the Second Derivative Test.  

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B) (10) Find the maximum and minimum values of $f(x,y) = 6x^2 + y^2$
on the constraint set $S = \{(x,y)\mid x^2 + y^2 = 1\}$.  (Any correct method
is OK.)
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