After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the following function C(t) = 7(e −0.5t − e −0.6t ), where the time t is measured in hours and C is measured in µg/mL. What is the maximum concentration of the antibiotic during the first 4 hours and when does it happen? The complete argument should be provided for the full points.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the following function C(t) = 7(e −0.5t − e −0.6t ), where the time t is measured in hours and C is measured in µg/mL. What is the maximum concentration of the antibiotic during the first 4 hours and when does it happen? The complete argument should be provided for the full points.

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