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Calc B WS #3 - A man 6 ft tall walks away from the pole in...

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Calculus B Workshop Activity #3 March 17, 2008 Names:_______________________________________________________________________ 1) Each side of a square is increasing at a rate of 6 centimeters per second. At what rate is the area increasing when the area is 16 square centimeters? 2) A cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute. How fast is the height of the water increasing?
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3) A plane flying horizontally at an altitude of 1 mile and a speed of 500 mph passes directly 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. 4) A snowball melts so that its surface area decreases at a rate of 1 square centimeter per minute. Find the rate at which the diameter decreases when the diameter is 10 centimeters.
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5) A streetlight is mounted at the top of a 15-foot pole.
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Unformatted text preview: A man 6 ft. tall walks away from the pole in a straight path at a speed of 5 feet per second. How fast is the tip of his shadow moving when he is 40 feet from the pole? 6) Two cars start from the same point. One travels south at 60 mph, and the other travels west at 25 mph. At what rate is the distance between them increasing two hours later? 7) Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. Its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 feet high? 8) If two resistors with resistances and are connected in parallel, as in the figure, then the total resistance R, measured on ohms (Ω), is given by . If is increasing at a rate of 0.3 ohms per second and is increasing at a rate of 0.2 ohms per second, how fast is R changing when and ?...
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