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Unformatted text preview: What is the vertical speed of the rocket at the instant that its distance from the radar station is 5 mi and this distance is increasing at the rate of 5000 mi/h? Example Sand is being emptied from a hopper at the rate of 10 ft 3 /s. The sand forms a conical pile whose height is always twice its radius. At what rate is the radius of the pile increasing when its height is 5 ft? Example A circular oil slick of uniform thickness is caused by a spill of 1 m 3 of oil. The thickness of the oil slick is decreasing at the rate of 0.1 cm/h. At what rate is the radius of the slick increasing when the radius is 8 m?...
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