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

Question 45

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Find the maximum and minimum values of f(x,y,z)=x−4y+6zf ( x , y , z ) = x - 4 y + 6 z subject to the constraint g(x,y,z)=x2+y2+z2=53g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 53 .

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