The concentration C(t) in milligrams per cubic centimeter (mg/cm 3 ) of a drug in a patients

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The concentration C(t) in milligrams per cubic centimeter (mg/cm3) of a drug in a patient’s bloodstream is 0.5 mg/cm3 immediately after an injection and t minutes later is decreasing at the rate


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A new injection is given when the concentration drops below 0.05 mg/cm3.


a. Find an expression for C(t).


b. What is the concentration after 1 hour? After 3 hours?


c. Use the graphing utility of your calculator with TRACE and ZOOM to determine how much time passes before the next injection is given.

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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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