Find the maximum and minimum values of the function f(x, y) = x y subject to 2x2 + 52 = 30 Maximum value: Minimum value: Enter DNE if the value does not exist.Find the maximum and minimum values of the function x, 3;) = my subject to g(a:,y) = 3:2 + my + y2 = 108 Estimate the volume of the solid that lies above the square R = [0, 8] X [0, 8] and below the elliptic paraboloid z = 201.8 3:2 2.1y2. Divide R into four equal squares and choose the sample point to be the upper right corner of each square. Approximate volume = :] units3