Concept explainers
a.
To describe:How the rateof populationincrease variesin a new laboratory culture as a function of time shown in given graph.
a.
Explanation of Solution
Given:
Initially the population is increasing at a small rate
Population growth rate continues to increase till
Growth rate is maximumat
After that the growth rate continuous to decrease and approaches
(b)
To find: When the rate is highest of the given data.
(b)
Answer to Problem 10E
Highest rate of the given data at
Explanation of Solution
Given:
Population growth rate is the slope of the graph
Slope of the graph is maximum at
That means population growth rate is maximum at
c.
To find: In which intervalthe population function is concave upward or downward.
c.
Answer to Problem 10E
The graph is concave up from 0 to around 8 hours and is then concave down from 8 to 18 hours.
Explanation of Solution
Given:
The graph is concave up from 0 to around 8 hours and is then concavedown from 8 to 18 hours.
d.
To estimate: The coordinates of the inflection point.
d.
Answer to Problem 10E
Theinflection occurs at
Explanation of Solution
Given:
Inflection ours when the graph changes its concavity
The given graph changes its concavity at
The red part of the graph is concave down and blue part is concave up
Hence, the inflection occurs at
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