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Use Lagrange Multipliers to Find the Maximum Value of the Function

Question 99

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Use Lagrange multipliers to find the maximum value of the function subject to the given constraints. f(x,y,z)=x+2y,x+y+z=1,y2+z2=4f ( x , y , z ) = x + 2 y , x + y + z = 1 , y ^ { 2 } + z ^ { 2 } = 4

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