Find the maximum and minimum values of $f ( x , y , z ) = x - 4 y + 6 z$ subject to the constraint $g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 53$ .

Name: Find the maximum and minimum values of $f ( x , y , z ) = x - 4 y + 6 z$ subject to the constraint $g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 53$ .
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The Answer of Find the maximum and minimum values of $f ( x , y , z ) = x - 4 y + 6 z$ subject to the constraint $g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 53$ .

Find the Maximum and Minimum Values Of f(x,y,z)=x−4y+6zf ( x , y , z ) = x - 4 y + 6 zf(x,y,z)=x−4y+6z

Find the Maximum and Minimum Values Of $f ( x , y , z ) = x - 4 y + 6 z$