Find the absolute maximum and minimum values of $f ( x , y ) = x ^ { 2 } + 2 x y + 3 y ^ { 2 }$ over the region $D$ , where $D$ is a closed triangular region with vertices $( - 1 , - 2 )$ , $( - 1,1 )$ , and $( 2,1 )$ .

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The Answer of Find the absolute maximum and minimum values of $f ( x , y ) = x ^ { 2 } + 2 x y + 3 y ^ { 2 }$ over the region $D$ , where $D$ is a closed triangular region with vertices $( - 1 , - 2 )$ , $( - 1,1 )$ , and $( 2,1 )$ .

Find the Absolute Maximum and Minimum Values Of f(x,y)=x2+2xy+3y2f ( x , y ) = x ^ { 2 } + 2 x y + 3 y ^ { 2 }f(x,y)=x2+2xy+3y2

Find the Absolute Maximum and Minimum Values Of $f ( x , y ) = x ^ { 2 } + 2 x y + 3 y ^ { 2 }$