After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 5(e-0.4t - e-0.6t) where the time t is measured in hours and C is measured in ug/mL. What is the maximum concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal places.) pg/mL

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 function
C(t) = 5(e-0.4t - e-0.6t)
where the time t is measured in hours and C is measured in ug/mL. What is the maximum concentration of the antibiotic during
the first 12 hours? (Round your answer to four decimal places.)
µg/mL
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Transcribed Image Text:After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 5(e-0.4t - e-0.6t) where the time t is measured in hours and C is measured in ug/mL. What is the maximum concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal places.) µg/mL Need Help? Read It
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