Related Rates - Related Rates in class problems 1 At what...

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Related Rates- in class problems 1. At what rate is the area of a circle increasing at the moment that the radius is 5 cm, if the radius is increasing at a rate of 2 cm/sec? 2. If the radius of a circle increases at a constant rate of 3 ft/sec, how fast is the area increasing at the end of 5 seconds? 3. A spherical balloon is inflated at a rate of 20 cubic feet per minute. How fast is the radius increasing at the moment the r=1 ft. ? 4. A 26 ft ladder leans against a wall. The bottom of the ladder is puller away at a rate of 2 ft/sec. Find the rate that the top of the ladder is moving down
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Unformatted text preview: the wall when the bottom of the ladder is 10 ft from the wall. 5. Sand falls into a conical pile at a rate of 10 cubic feet per minute. If the diameter of the base is 3 times the height, at what rate is the height changing when the pile is 5 feet high? 6. A conical tank with vertex down is 18 feet across the top and 20 feet deep. If water is flowing into the tank at 10 cubic feet per minute, find the rate of change of the depth of the water the instant the water is 8 feet deep....
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  • Spring '08
  • MASILAMANI
  • United States customary units, cubic feet

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