Use Lagrange multipliers to find the maximum value of the function subject to the given constraints. $f ( x , y , z ) = x + 2 y , x + y + z = 1 , y ^ { 2 } + z ^ { 2 } = 4$

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The Answer of Use Lagrange multipliers to find the maximum value of the function subject to the given constraints. $f ( x , y , z ) = x + 2 y , x + y + z = 1 , y ^ { 2 } + z ^ { 2 } = 4$

Use Lagrange Multipliers to Find the Maximum Value of the Function