Concept explainers
To find: The functionthat defines the brightness of the star Delta Cephei in terms of time.
Answer to Problem 26E
The brightness of Delta Cephei is given by the function
Explanation of Solution
Given:
Time period of the maximum brightness of the star Delta Cephei is
Calculation:
As the maximum period of brightness is 5.4 days consider total time period for Delta Cephei as 5.4 days.
Since the time period is of 5.4 days, the time period in terms of time t is given by
Note that the average amplitude of the star is 4.0 with variation of
Use the above information to construct a function to calculate the brightness of the starDelta Cephei as shown below,
Therefore, the function that models the brightness of star in Delta Cephei as function of time is
Chapter 1 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