A drug is injected into the bloodstream of a patient through her right arm. The concentration of the drug in the bloodstream of the left arm t hours after the injection is given by 0.14t C(t) = t2 +1 a. Use derivatives to determine the maximum drug concentration in the patient. When does this occur? b. What is the average concentration of the drug in the bloodstream in the left arm during the first hour after the injection? During the first 2 hours after the injection?

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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A drug is injected into the bloodstream of a patient through her right arm. The
concentration of the drug in the bloodstream of the left armt hours after the injection is
given by
0.14t
C(t)
t2 +1
a. Use derivatives to determine the maximum drug concentration in the patient. When
does this occur?
b. What is the average concentration of the drug in the bloodstream in the left arm during
the first hour after the injection? During the first 2 hours after the injection?
Transcribed Image Text:A drug is injected into the bloodstream of a patient through her right arm. The concentration of the drug in the bloodstream of the left armt hours after the injection is given by 0.14t C(t) t2 +1 a. Use derivatives to determine the maximum drug concentration in the patient. When does this occur? b. What is the average concentration of the drug in the bloodstream in the left arm during the first hour after the injection? During the first 2 hours after the injection?
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