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Find the Maximum and the Minimum Values of the Function $f ( x , y , z ) = x + 2 y + 3 z$

Question 65

Essay

Find the maximum and the minimum values of the function $f ( x , y , z ) = x + 2 y + 3 z$ subject to $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$

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