Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the constraint x2 + y = 5. Hint: First, show that y + 0. Then treat the cases x = 0 and x + 0 separately. (Use decimal notation. Give your answers to two decimal places.)

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A: fx,y=x2+1yand Let gx,y=x2+y2=5 Then,  fx=2xy fy=x2+1 gx=2x gy=2y Thus,  fx=λgx…

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