A circular oil spill grows at a rate given by the differentialequation dr/dt = k/r

Chapter 11, Problem 32

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A circular oil spill grows at a rate given by the differentialequation dr/dt = k/r, where r represents the radiusof the spill in feet, and time is measured in hours. If theradius of the spill is 400 feet 16 hours after the spill begins,what is the value of k? Include units in your answer.

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