Find the linear approximation of the function f ( x , y , z ) x 2 y 2 z 2 at ( 8 , 8 , 4 ) and use it to approximate the number 8 0 2 2 7 9 9 2 3 9 7 2 ( Round your answer to five decimal places ) f ( 8 0 2 , 7 9 9 , 3 9 7 )

Question

Find the linear approximation of the function f ( x , y , z )   x 2   y 2   z 2 at ( 8 , 8 , 4 ) and use it to approximate the number 8   0 2 2   7   9 9 2   3   9 7 2   ( Round your answer to five decimal places  ) f ( 8   0 2 , 7   9 9 , 3   9 7 )

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Find the linear approximation of the function f ( x , y , z ) = x 2 + y 2 + z 2 at

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