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Unformatted text preview: f ( x, y ) = eax cos( y )ey cos( x ) is solution of Laplaces equation f xx + f yy = 0. 2 3. (8 points) Let f ( x, y ) = 12 xy2 x 33 y 2 . (a) Find all the critical (stationary) points of f . (b) For each critical point of f , determine whether f has a local maximum, local minimum, or saddle point at that point. 3 4. (8 points) Use Lagrange multipliers to fnd the maximum and minimum values oF the Function f ( x, y ) = x 2 + y 2 subject to the constraint 1 4 x 2 + 1 9 y 2 = 1. 4...
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 Summer '08
 Helton
 Math

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