Concept explainers
To find: the expression for the number of bacteria after
Answer to Problem 23E
Expression for growth of
The rate of growth of bacteria after 2.5 hours is
Explanation of Solution
Given:
The initial population
Population of the bacteria triples in one hour as per the rate expression given below.
Calculation:
Expression for
Substitute the 400 for
Determine the rate of growth of population after 2.5 hours.
Differentiate equation (2) with respect to
Substitute 2.5 for
Expression for growth of
The rate of growth of bacteria after 2.5 hours is
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