2} Verify the Mean Value Theorem applies for 9(3) : i on the interval [1I 3]. Next nd a value c it predicts must exist. [4} 3} A cylindrical can, open at the top, is to be made to hold 512 m3 of oil. Find the height and radius that will minimize the cost of the metal to manufacture the can. (3) 4} If f"[:a"] 22033+4, n) = 1n, and m) = 13, nd at}. (2) 5} Evaluate the following limit: {2) n . . _ 12 5: 11m nioo n3 i: 1