Caffeine is metabolized and excreted at a continuous rateof about 17% per hour. A person

Chapter 11, Problem 12

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Caffeine is metabolized and excreted at a continuous rateof about 17% per hour. A person with no caffeine in thebody starts drinking coffee, containing 130 mg of caffeineper cup, at 7 am. The person drinks coffee continuouslyall day at the rate of one cup an hour. Write adifferential equation for A, the amount of caffeine in thebody t hours after 7 am and give the particular solutionto this differential equation. How much caffeine is in thepersons body at 5 pm?

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