only on 5. (10 pts) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all number c that satisfy the conclusion of Mean Value Theorem f (2) = 3x2, [0, 1] 6. (10 pts) Choose Only one of the following two related problems a) A ladder 20 feet long leans against a vertical wall. If the bottom of the ladder slides away from the building horizontally at a rate of 4ft/ sec. i) How fast is the ladder sliding down the wall when the top of the ladder is 8 feet from the ground. At what rate is the angle 0, between the ladder and the wall changing then