Suppose that the rate at which the concentration of a drug in the blood changes with respect to time t is given by C'(t)= c/(b-a)(be^(-bt)-ae^(-at)), t>=0 where a, b, and c are constants depending on the drug administered, with b>a. Assuming that C(t)=0 when t=0, find the formula for the concentration of the drug at any time t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that the rate at which the concentration of a drug in the blood changes with respect to time t is given by

C'(t)= c/(b-a)(be^(-bt)-ae^(-at)), t>=0

where a, b, and c are constants depending on the drug administered, with b>a. Assuming that C(t)=0 when t=0, find the formula for the concentration of the drug at any time t.

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