a. Explanation Given: It is given in the question that the C t is the concentration of a drug in the bloodstream at time t , A is the concentration of the drug that is administered at each time step ,and K is the fraction of the drug metabolized in a time step. Concept Used: In this we have to know about the concept of difference equation. Calculation: if C t is the concentration of a drug in the bloodstream at time t, and k is the fraction of the drug metabolized in a time step, the concentration of the drug metabolized in a time step, then the concentration of the drug metabolized in a time step is k C t , so that the concentration of the drugs left in the bloodstream is given by C t - k c t = C t ( 1 − k ) b. To determine Draw the graph of C t and find whether the graph is similar for the other values of A andK .

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 1.6, Problem 34E

To determine

Find the recursion of the models that how the drug concentration changes.

To determine

Draw the graph of Ct and find whether the graph is similar for the other values of A andK .

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Chapter 1.6, Problem 33E

Chapter 1.6, Problem 35E

Chapter 1 Solutions

Biocalculus

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Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?

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