A stream flowing into a lake brings with it a pollutant at a rate of 8 metric tons per

Chapter 11, Problem 11

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A stream flowing into a lake brings with it a pollutant at a rate of 8 metric tons per year. The river leaving the lake removes the pollutant at a rate proportional to the quantity in the lake, with constant of proportionality 0.16 if time is measured in years. (a) Is the quantity of pollutant in the lake increasing or decreasing at a moment at which the quantity is 45 metric tons? At which the quantity is 55 metric tons? (b) What is the quantity of pollutant in the lake after a long time?

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