A boat is being pulled toward a dock as shown in the gure to the right. If the rope is being pulled in at the rate of 4 feet per second, how fast is the ROPC 2 ft distance between the dock and the boat decreasing when it is 2 feet from the dock? Boat Dock (:3 The distance between the dock and the boat is decreasing by I: feet per second when the boat is 2 feet from the dock. (Round to the nearest thousandth as needed.) A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 18 feet. (E When the radius is 18 feet, the area is changing at approximately D square feet per minute. (Round to the nearest thousandth as needed.) A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant rate of 2 feet per second. How fast is the top of the ladder sliding down the wall when the bottom is 5 feet from the wall? The ladder is sliding down the wall at a rate of D fb'sec. (Type an integer or a simplied fraction.) 4V 2ft/ sec