A 25-foot ladder is leaning against a house, as shown in the figure below. 25 ft sec +X→ If 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 ladder and the house, and r is the rate in feet per second. 2x r = ft/sec 625 – x2 (a) Find the rate r when x is 15 feet. (b) Find the rate r when x is 24 feet. (c) Find the limit of r as x approaches 25 from the left.

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