r(x) = {1.705(6.84145 l0.11879x – 3.5857 when 20 < x s 29 when 0 3 XS 20 where r was measured in µg/mL per day and x is the number of days after the drug was administered. Evaluate the following definite integrals and interpret the answers. (Round your answers to three decimal places.) 20 (a) r(x) dx Pg/mL Interpret your answer. The concentration of the drug ---Select--- | by pg/mL during the first 20 days after the drug was administered. 29 (b) r(x) dx Pg/mL Interpret your answer. The concentration of the drug ---Select--- | by pg/mL between the end of the 20th day and the end of the 29th day after the drug was administered. 29 (c) r(x) dx Hg/mL Interpret your answer.

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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In Section 5.1, the rate of change in the concentration of a drug was modeled as
|1.705(0.841*)
0.11879x - 3.5857
when 0 s xS 20
when 20 < xS 29
r(x) =
where r was measured in µg/mL per day and x is the number of days after the drug was administered. Evaluate the following definite integrals
and interpret the answers. (Round your answers to three decimal places.)
20
(a)
r(x) dx
Pg/mL
Interpret your answer.
The concentration of the drug ---Select---
by
Hg/mL during the first 20 days after the drug was administered.
(b)
r(x) dx
Pg/mL
Interpret your answer.
The concentration of the drug ---Select--- by
ug/mL between the end of the 20th day and the end of the 29th
day after the drug was administered.
(c)
r(x) dx
Pg/mL
Interpret your answer.
At the end of the 29th day after the drug was first administered, the concentration of the drug was
Pg/mL.
Transcribed Image Text:In Section 5.1, the rate of change in the concentration of a drug was modeled as |1.705(0.841*) 0.11879x - 3.5857 when 0 s xS 20 when 20 < xS 29 r(x) = where r was measured in µg/mL per day and x is the number of days after the drug was administered. Evaluate the following definite integrals and interpret the answers. (Round your answers to three decimal places.) 20 (a) r(x) dx Pg/mL Interpret your answer. The concentration of the drug ---Select--- by Hg/mL during the first 20 days after the drug was administered. (b) r(x) dx Pg/mL Interpret your answer. The concentration of the drug ---Select--- by ug/mL between the end of the 20th day and the end of the 29th day after the drug was administered. (c) r(x) dx Pg/mL Interpret your answer. At the end of the 29th day after the drug was first administered, the concentration of the drug was Pg/mL.
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