Suppose that t hours after an antibiotic is administered orally, its concentration in the patients bloodstream is

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Suppose that t hours after an antibiotic is administered orally, its concentration in the patient’s bloodstream is given by a surge function of the form C(t) = Ate−kt, where A and k are positive constants and C is measured in micrograms per milliliter of blood. Blood samples are taken periodically, and it is determined that the maximum concentration of drug occurs 2 hours after it is administered and is 10 micrograms per milliliter.

a. Use this information to determine A and k.

b. A new dose will be administered when the concentration falls to 1 microgram per milliliter. When does this occur?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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