For a certain drug, the rate of reaction in appropriate units is given by 6 4 R'(t)=- + 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 to t=13 b. From t = 13 to t = 24 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.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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For a certain drug, the rate of reaction in appropriate units is given by
6
4
t+1 √t+1
R'(t)=
+
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 to t= 13
b. From t = 13 to t = 24
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 6 4 t+1 √t+1 R'(t)= + 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 to t= 13 b. From t = 13 to t = 24 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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