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Use Lagrange multipliers to find the max and min values of the function subject to the given constraint 12, f (x, y, z) = x

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Use Lagrange multipliers to find the max and min values of the function subject to the given constraint

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12, f (x, y, z) = x 2 + y 2 + z 2, x 2 + Y2 + z 2 + xy = 12

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