A 25-foot ladder is leaning against a house, as shown in the figure below. 25 ft ft 2 sec When the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate given by the following equation, where x is the distance between the base of the la and the house, and r is the rate in feet per second. 2x r = ft/sec 625-x2 (a) Find the rate r (in ft/sec) when x is 7 feet. 7/12 ft/sec (b) Find the limit of r as x approaches 25 from the left. 0