Concept explainers
(a)
To find: The inverse of the function.
(a)
Answer to Problem 59E
The inverse of the function is
Explanation of Solution
Given information:
Initial population of the bacteria is
The inverse of the function is calculated as,
Simplify further,
For the inverse function, replace t and y ,
Therefore, the inverse of the functionis
(b)
To find: The number of hours in which population of the bacteria reach
(b)
Answer to Problem 59E
The number of hours in which population of the bacteria reach
Explanation of Solution
Given information:
Initial population of the bacteria is
The number of hours in which population of the bacteria reach
Therefore, the number of hours in which population of the bacteria reach
Chapter 1 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