The concentration C(t) in milligrams per cubic centimeter, of a particular drug in a 0.16t patient's blood stream is given by C(t) = where t is the number of hours after t2+4t+4 the drug is taken. a) How many hours after the drug is given will the concentration be maximum? b) What is the maximum concentration?

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 C(t) in milligrams per cubic centimeter, of a particular drug in a
0.16t
patient's blood stream is given by C(t) =
where t is the number of hours after
t²+4t+4
the drug is taken.
a) How many hours after the drug is given will the concentration be maximum?
b) What is the maximum concentration?
Transcribed Image Text:The concentration C(t) in milligrams per cubic centimeter, of a particular drug in a 0.16t patient's blood stream is given by C(t) = where t is the number of hours after t²+4t+4 the drug is taken. a) How many hours after the drug is given will the concentration be maximum? b) What is the maximum concentration?
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