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ProbsRelatedRates - Related Rates Problem Set(Revised March...

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Related Rates Problem Set (Revised March 8, 2011) 1. If and , find when D ° B ± C ² .B˛.> ° #² .C˛.> ° $ .D˛.> # # # and Assume that B ° & C ° "#³ D ´ !³ C ° " ± B ³ A particle moves along the curve As it reaches ¨ $ the point the y-coordinate is increasing at a rate of a b #² $ ² 4 cm/sec. How fast is the x-coordinate of the point changing at this instant? 3. Suppose where is a constant and when t TZ ° 5 5 ° # T ° % .T . and Find Z ° &³ ³ .Z .> 4. Two cars start moving from the same point. One travels south at 60 m/hr and the other travels west at 25 m/hr. At what rate is the distance between the cars increasing two hours later? 5. A plane flying horizontally at an altitude of 1 mile and a speed of 500 mph passes over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. 6. A conical water tower has a height of 12 ft and a radius of 3 ft. Water is pumped into the tank at a rate of 4 ft /min. How fast is $ the water level rising when the water level is 6 ft?
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