(10 points) A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 12 feet above the ground? The foot will be moving at I: le. (10 points) A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If water flows into the tank at a rate of 30 ft3/m1'11, how fast is the depth of the water increasing when the water is 13 feet deep? The depth of the water is increasing at ft/min