Exercise 5. Consider the function f(x, y) = sin(xy), 0≤x≤ π,0 ≤ y ≤ 1. 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 xz-plane, in the plane y = 1 and in the plane x = y

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Exercise 5.
Consider the function f(x, y) = sin(xy), 0 < x < T, 0 < y < 1.
• 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 xz-plane, in the plane y = 1 and in the plane x = Y
Transcribed Image Text:Exercise 5. Consider the function f(x, y) = sin(xy), 0 < x < T, 0 < y < 1. • 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 xz-plane, in the plane y = 1 and in the plane x = Y
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