Pls help with the following problems:

Question 1:

Find the minimum and maximum values of the function f (x, y) = x2 y + x + y sub'ect to the constraint xy = 5. J (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.) minimum: mm Apply the method of Lagrange multipliers to the function f (x, y) = (x2 + l) y subject to the constraint x2 + y2 = 65. Hint: First, show that y 7': 0. Then treat the cases x = 0 and x 7': 0 separately. (Use decimal notation. Give your answers to two decimal places.)