Concept explainers
a.
To graph: Graph the data points and model in the same viewing window using graphing utility.
a.
Answer to Problem 69E
Explanation of Solution
Given: The numbers of hours
Data points:
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
9.68 | 10.73 | 11.93 | 13.27 | 14.37 | 14.97 | 14.70 | 13.73 | 12.45 | 11.17 | 10.00 | 9.38 |
Graph:
By using the graphing utility the below graph is the graphical representation of the given data points and the given function.
Thus we can use a graphical utility to graph the data points and model in the same viewing window.
b.
To find: The period of the model.
b.
Answer to Problem 69E
The period of the given model is
Explanation of Solution
Given: The numbers of hours
Data points:
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
9.68 | 10.73 | 11.93 | 13.27 | 14.37 | 14.97 | 14.70 | 13.73 | 12.45 | 11.17 | 10.00 | 9.38 |
Calculation:
A sine function is given by,
The period is,
Thus we can find the period of the given model.
c.
To find: The amplitude of the model.
c.
Answer to Problem 69E
The amplitude of the model is
Explanation of Solution
Given: The numbers of hours
Data points:
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
9.68 | 10.73 | 11.93 | 13.27 | 14.37 | 14.97 | 14.70 | 13.73 | 12.45 | 11.17 | 10.00 | 9.38 |
The amplitude of the sine function is
Therefore, the amplitude of the given model is,
Thus we can find the amplitude of the given model and it represents the maximum change in hours of daylight.
Chapter 4 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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