If t is in minutes since the drug was administered, the concentration, C(t) in ng/ml, of a

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If t is in minutes since the drug was administered, the concentration, C(t) in ng/ml, of a drug in a patient’s bloodstream is given by

C(t) = 20te−^0.03t.

(a) How long does it take for the drug to reach peak concentration? What is the peak concentration?
(b) What is the concentration of the drug in the body after 15 minutes? After an hour?
(c) If the minimum effective concentration is 10 ng/ml, when should the next dose be administered?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 15, 2023 02:01 AM

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If t is in minutes since the drug was administered, the concentration, C(t) in ng/ml, of a

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a Differentiating using the product rule gives At the ...View the full answer

Applied Calculus

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