The concentration of a drug in a patient's bloodstream is given by the function C'(t) = 0.15t +²+0.81 where C(t) is the concentration in grams per cubic centimeter (g/cm³) and t is the time in hours. When will the concentration be a maximum? Type your answer below rounded to the nearest tenth. The concentration will be a maximum at t = hours.

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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The concentration of a drug in a patient's bloodstream is given by the function
C(t)=
0.15t
+² +0.81
where C(t) is the concentration in grams per cubic centimeter (g/cm³) and t is the time in
hours. When will the concentration be a maximum? Type your answer below rounded
to the nearest tenth.
The concentration will be a maximum at t =
hours.
Transcribed Image Text:The concentration of a drug in a patient's bloodstream is given by the function C(t)= 0.15t +² +0.81 where C(t) is the concentration in grams per cubic centimeter (g/cm³) and t is the time in hours. When will the concentration be a maximum? Type your answer below rounded to the nearest tenth. The concentration will be a maximum at t = hours.
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