For a certain drug, the rate of reaction in appropriate units is given by 3 3 R'(t)= + 1+1 √t+1 where t is time (in hours) after the drug is administered. Find the total reaction to the dru a. From t=1 tot 12 b. From t= 12 to t=24 ***

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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For a certain drug, the rate of reaction in appropriate units is given by
3
3
t+1
√t+1
where t is time (in hours) after the drug is administered. Find the total reaction to the drug over the following time periods.
a. From t=1 tot = 12
b. From t= 12 to t=24
R'(t) =
+
***
a. The total reaction is
(Do not round until the final answer. Then round to three decimal places as needed.)
b. The total reaction is
(Do not round until the final answer. Then round to three decimal places as needed.)
Transcribed Image Text:For a certain drug, the rate of reaction in appropriate units is given by 3 3 t+1 √t+1 where t is time (in hours) after the drug is administered. Find the total reaction to the drug over the following time periods. a. From t=1 tot = 12 b. From t= 12 to t=24 R'(t) = + *** a. The total reaction is (Do not round until the final answer. Then round to three decimal places as needed.) b. The total reaction is (Do not round until the final answer. Then round to three decimal places as needed.)
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