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Find the Absolute Extrema of the Function f(x,y)=x2+3y2+4x+10f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } + 4 x + 10

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Find the absolute extrema of the function f(x,y)=x2+3y2+4x+10f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } + 4 x + 10 on the region bounded by the disk defined by {(x,y)x2+y29}\left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 9 \right\} .

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