The half-life of an antibiotic in the bloodstream is 10 hours. If an initial dose of 20

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The half-life of an antibiotic in the bloodstream is 10 hours. If an initial dose of 20 milligrams is administered, the quantity left after t hours is modeled by Q(t) = 20e-0.0693t, for t ≥ 0.

a. Find the instantaneous rate of change of the amount of antibiotic in the bloodstream, for t ≥ 0.

b. How fast is the amount of antibiotic changing at t = 0? At t = 2?

c. Evaluate and interpretlim Q(t) and lim Q'(t).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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