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Suppose that the rate of consumption of a natural resource is f '(t), where f '(t) 2 he. Here :5 is time in years, bis

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Suppose that the rate of consumption of a natural resource is f '(t), where f '(t) 2 he\". Here :5 is time in years, bis a constant, and k is the consumption in the year when t = 0. In 2000, an oil company sold 2.1 billion barrels of oil. Assume that b = 0.05. a) Write f '(t) for the oil company, letting t = 0 represent 2000. m = b) Set up a definite integral for the amount of oil that the company will sell in the next 10 years. _ dt c) The definite integral gives billion barrels of oil. Round to 2 decimal places as needed

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