EXERCISE 5. Consider the function f(x,y) = x(1- y²) in the domain {(x, y): r² + y² = 1}. (a) Indicate if you have reasons to assess existence or nonexistence of mar and min; (b) compute mar and min (if they exist); (c) estimate mar and min (those which exist) when the constraint be- comes x² + y² = 1.4.

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