(a)
The meaning of
(a)
Explanation of Solution
Here
Note that, the derivative
The derivative
Thus,
The instantaneous rate of change is equal to
Here
Thus, the units are number of bacteria per hours.
(b)
To compare: The values
(b)
Explanation of Solution
The growth of population of bacteria is depends on the amount of nutrients, amount of space and the population of bacteria.
If the unlimited amount of space and nutrients,
The growth of bacteria population is depends on the population of bacteria.
The growth of bacteria population increases as the population of bacteria is increases.
The rate of change of bacteria population increases as the population of bacteria is increases.
Therefore,
If supply of nutrients is limited.
The growth rate of bacteria is decreasing at some point in time.
Chapter 2 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