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Use the method of Lagrange multipliers to optimize the function subject to the given constraint. Find the maximum value of the function f ( x

Use the method of Lagrange multipliers to optimize the function subject to the given constraint.

Find the maximum value of the functionf(x,y,z) =x+3y5z

subject to the constraintz=2x²+y².

(Round your answer to two decimal places.)

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