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 interpret

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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Question Posted: Feb 08, 2019 12:06 PM

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

Question:

lim Q(t) and lim Q'(t).

Step by Step Answer:

a The instantaneous rate of change is Qt 1386e 00693t mghr b At t 0 hours we have Q0 13...View the full answer

Calculus Early Transcendentals

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