(a)
To show: The limit
(a)
Explanation of Solution
Given: The function to model the concentration of drug injected into bloodstream is given by,
The value of
Let
Hence, proved.
(b)
To find: The rate at which the drug is cleared from circulation.
(b)
Explanation of Solution
Given: The function to model the concentration of drug injected into bloodstream is given by,
Differentiate the expression for
Therefore, the rate at which the drug is cleared from circulation is
(c)
To find: when is the rate equal to zero.
(c)
Explanation of Solution
Given: The function to model the concentration of drug injected into bloodstream is given by,
The time at which
Solve further,
Therefore, the rate is equal to zero at
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning