Concept explainers
a.
To find out the population in the years 2000, 2005, 2010 and 2015 using the model.
a.
Explanation of Solution
Given Information:
The population (P in thousands) from 2000 to 2016 can be modeled by
Where represents the year, with corresponding to 2000.
Calculation:
For the year 2000:
For the year 2005:
For the year 2010:
For the year 2015,
b.
To graph the function using the graphing utility.
b.
Explanation of Solution
The graph of the given model is:
c.
To find the number of years required to reach population using the graph.
c.
Answer to Problem 42E
Years.
Explanation of Solution
From the above graph in part (b), the population can be determined:
The above highlighted point (yellow mark) is where the population is and the point is
Therefore, number of years required to reach population is
d.
To find the number of years required to reach population.
d.
Answer to Problem 42E
years.
Explanation of Solution
Given that,
Therefore, number of years required to reach population is years.
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