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A 100-Foot-Long Cable of Diameter 2 Inches Is Submerged in Seawater

question 31

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A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 500in 2 per year. Express the diameter d of the cable as a function of time t (in years) . (Disregard corrosion at the ends of the cable.)


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