Exercise 5. Consider the function f(x, y) = sin(xy), 0≤x≤T, 0≤ y ≤ 1. = π, • find local maximum and minimum if they exist • does the function f have global extremum? If it is the case find global maximum and minimum if they exist graph the function in rz-plane, in the plane y = 1 and in the plane x = y

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