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 ug/mL. What is the maximum concentration of the antibiotic during the first 4 hours and when does it һаppen?

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...
icon
Related questions
Question
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 ug/mL. What is the
maximum concentration of the antibiotic during the first 4 hours and when does it
happen?
Transcribed Image Text: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 ug/mL. What is the maximum concentration of the antibiotic during the first 4 hours and when does it happen?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax