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

Name: Find the maximum and minimum values of the function $f ( x , y ) = x ^ { 2 } + 6 x y + y ^ { 2 }$ subject to the constraint $x ^ { 2 } + y ^ { 2 } \leq 32$ .
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The Answer of Find the maximum and minimum values of the function $f ( x , y ) = x ^ { 2 } + 6 x y + y ^ { 2 }$ subject to the constraint $x ^ { 2 } + y ^ { 2 } \leq 32$ .

Find the Maximum and Minimum Values of the Function f(x,y)=x2+6xy+y2f ( x , y ) = x ^ { 2 } + 6 x y + y ^ { 2 }f(x,y)=x2+6xy+y2

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