Apply the method of Lagrange multipliers to the function (x, y) = (x 2 + 1)y subject
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Apply the method of Lagrange multipliers to the function ƒ(x, y) = (x2 + 1)y subject to the constraint x2 + y2 = 5. First show that y ≠ 0; then treat the cases x = 0 and x ≠ 0 separately.
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