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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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 Spring '07
 Prevendoski
 Calculus, Orders of magnitude, Imperial units, Mile

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