Question

Find the absolute maximum value and the absolute minimum value of the function f ( x , y ) = x 2 y 2 + 3 y on the set D defined as the closed triangular region with vertices ( 0 , 0 ), ( 1 , 0 ), and ( 1 , 1 ), that is, the set D = { ( x , y ) | 0 ≤ x ≤ 1 , 0 ≤ y ≤ x } .

Absolute maximum value =

Absolute minimum value =

Answer #1

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