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Problem 2: Two Variables Optimization Consider the following function: f(x,y)=8x3+y312xy (a) Solve for the critical points given thatx12(yis unconstrained). (b) Are those critical values maxima

Problem 2: Two Variables Optimization

Consider the following function:

f(x,y)=8x3+y312xy (a) Solve for the critical points given thatx12(yis unconstrained).

(b) Are those critical values maxima or minima? Hint: remember the domain of the function.

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