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A Factory Is Dumping Pollutants into a Lake Continuously at the Rate

Question 22

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A factory is dumping pollutants into a lake continuously at the rate of t2/365\frac{t^{2 / 3}}{65} tons per week, where t is the time in weeks since the factory commenced operations.
Assume that natural processes can remove up to 0.138 tons of pollutant per week from the lake and that there was no pollution in the lake when the factory commenced operations one year ago.How many tons of pollutant have now accumulated in the lake? (Note: The amount of pollutant being dumped into the lake is never negative.)Round to 2 decimal places.

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