Question: Let (x, y) = x 4 2x 2 + y 2 6y. (a) Find the critical points of and use the Second

Let ƒ(x, y) = x⁴ − 2x² + y² − 6y.

(a) Find the critical points of ƒ and use the Second Derivative Test to determine whether they are a local minima or a local maxima.
(b) Find the minimum value of ƒ without calculus by completing the square.

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