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(a) Determine the critical points of f(x , y) = 3 + x 2 - x 2 y - y 2 - (y 3 /3).

(a) Determine the critical points of f(x , y) = 3 + x2 - x2y - y2- (y3/3).

(b) Use the 2nd partial test to classify each critical point (relative maximum,

relative minimum, saddle point, or in determined).

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