Concerning the function f (x, y) = 4x + 6y 12 x 2 y2: (a) There is a unique critical

Chapter 4, Problem 1

(choose chapter or problem)

Concerning the function f (x, y) = 4x + 6y 12 x 2 y2: (a) There is a unique critical point. Find it. (b) By considering the increment f , determine whether this critical point is a maximum, a minimum, or a saddle point. (c) Now use the Hessian criterion to determine the nature of the critical point

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