Use Lagrange multipliers to find the maximum and minimum values of the function $f ( x , y , z ) = 5 x - y - 5 z$ subject to the constraints $x + 2 y - z = 0$ and $x ^ { 2 } + 4 y ^ { 2 } = 1$

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The Answer of Use Lagrange multipliers to find the maximum and minimum values of the function $f ( x , y , z ) = 5 x - y - 5 z$ subject to the constraints $x + 2 y - z = 0$ and $x ^ { 2 } + 4 y ^ { 2 } = 1$

Use Lagrange Multipliers to Find the Maximum and Minimum Values f(x,y,z)=5x−y−5zf ( x , y , z ) = 5 x - y - 5 zf(x,y,z)=5x−y−5z

Use Lagrange Multipliers to Find the Maximum and Minimum Values $f ( x , y , z ) = 5 x - y - 5 z$