Concept explainers
a.
Find the population of the conservation organization after given months.
a.
Answer to Problem 43E
The population of the conservation organization after
Explanation of Solution
Given:
The growth of the pack is modeled by the logistic curve
Calculation:
Substitute the value of
Hence the population of the conservation organization after
b.
Find the year in which the populations of the conservation organizationwill reached at the given number.
b.
Answer to Problem 43E
The populations of conservation organization will reached
Explanation of Solution
Given:
The growth of the pack is modeled by the logistic curve
.Calculation:
The given function is
Substitute the value of
Multiply both sides by
Divide both sides by
Subtract
Divide both sides by
Taking natural log on both sides.
Divided both sides by
Hence the populations of conservation organizationwill reached
c.
Draw a graph of the given function using graphing utility.
c.
Answer to Problem 43E
The horizontal asymptotes are
Explanation of Solution
Given:
The growth of the pack is modeled by the logistic curve
Calculation:
The given function is
By the use of graphing utility, the graph of the function is given below.
From the graph, the horizontal asymptotes are
When the time increases, the population approaches
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- 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