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Find the Maximum and Minimum Values of the Function f(x,y)=x2+6xy+y2f ( x , y ) = x ^ { 2 } + 6 x y + y ^ { 2 }

Question 44

Short Answer

Find the maximum and minimum values of the function f(x,y)=x2+6xy+y2f ( x , y ) = x ^ { 2 } + 6 x y + y ^ { 2 } subject to the constraint x2+y2≤32x ^ { 2 } + y ^ { 2 } \leq 32 .

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