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Find the Linear Approximation to the Function f(x,y)=2x2+y2f ( x , y ) = 2 x ^ { 2 } + y ^ { 2 }

Question 173

Essay

Find the linear approximation to the function f(x,y)=2x2+y2f ( x , y ) = 2 x ^ { 2 } + y ^ { 2 } at (1,1)( 1,1 ) and use it to approximate f(1.1,1.1)f ( 1.1,1.1 ) .

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