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(5) Let f(x, y) = −x^2 + 2x − 3y^3 + 6y^2 − 3y. (a) Find...

(5) Let f(x, y) = −x^2 + 2x − 3y^3 + 6y^2 − 3y.

(a) Find both critical points of f(x, y).

(b) Compute the Hessian of f(x, y).

(c) Decide whether the critical points are saddle-points, local minimums, or local maximums.

Math   Calculus   
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