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

Question 132

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Find the absolute maximum and minimum values of f(x,y)=x2+2xy+3y2f ( x , y ) = x ^ { 2 } + 2 x y + 3 y ^ { 2 } over the region DD , where DD is a closed triangular region with vertices (−1,−2)( - 1 , - 2 ) , (−1,1)( - 1,1 ) , and (2,1)( 2,1 ) .

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