otion of Drugs seconds) is given i z (t)

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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Source: Brookings Institution.
46. Absorption of Drugs The concentration of a drug in an organ at any
time t (in seconds) is given by
x (t) = 0.08 + 0.12 (1 – e-0.02t )
where a (t) is measured in grams per cubic centimeter (g/cm³).
a. What is the initial concentration of the drug in the organ?
b. What is the concentration of the drug in the organ after 20 sec?
c. What will be the concentration of the drug in the organ in the long run?
Hint: Evaluate lim a (t).
t+00
d. Sketch the graph of æ.
Transcribed Image Text:Source: Brookings Institution. 46. Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by x (t) = 0.08 + 0.12 (1 – e-0.02t ) where a (t) is measured in grams per cubic centimeter (g/cm³). a. What is the initial concentration of the drug in the organ? b. What is the concentration of the drug in the organ after 20 sec? c. What will be the concentration of the drug in the organ in the long run? Hint: Evaluate lim a (t). t+00 d. Sketch the graph of æ.
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