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Unformatted text preview: Example 3 : A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at a rate of 10 3 ft / min , find the rate of change of the depth of water when the water is 8 feet deep. 3 Example 4 : A tumor is modeled as being roughly spherical, with radius R. If the radius of the tumor is currently R = 0.54 cm and is increasing at the rate of 0.13 cm per month, what is the corresponding rate of change of the volume 3 4 3 R V = ? Example 5 : A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat. The winch pulls the rope at a rate of 4 feet per second. Find the speed of the boat when 13 feet of rope is out. What happens to the speed of the boat as it gets closer and closer to the dock? 4...
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This note was uploaded on 04/17/2008 for the course MAT 111 taught by Professor Fan during the Spring '08 term at Union.
 Spring '08
 FAN
 Calculus, Derivative

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