Concept explainers
a.
Write the differential equation that express the law of natural growth
a.
Answer to Problem 6RCC
The differential equation that expresses the law of natural growth is
Explanation of Solution
Given information : The question is
To give the differential equation that express the law of natural growth
The law of natural growth is
The above equation means the rate of change of growth equals a constant times the population
To arrive then this quantity the equation shows in cell as follows
Form here it can be conclude that the quantity known as relative growth will be a constant through time
b.
At what circumstances the population growth model be an appropriate
b.
Explanation of Solution
Given information : The question is
To explain that the population growth model be an appropriate
There are two conditions are shown
This model is only use when the population growth is completely natural
c.
To find : the solution of the equation
c.
Answer to Problem 6RCC
The solution is
Explanation of Solution
Given information : The equation is
Rewrite the above equation
Chapter 7 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