Concept explainers
To find: the rectangular equation for cycloid by eliminating the parameter from the given equations.
Answer to Problem 65E
The given curve has the rectangular coordinate equation,
Explanation of Solution
Calculation:
Find the rectangular equation for cycloid
From the given equations,
And,
Substituting the value of
Substituting the value of
Substituting the value of
Solving the values of
Substituting the value of
Therefore, the given curve has the rectangular coordinate equation,
Conclusion:
Therefore, the given curve has the rectangular coordinate equation,
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th 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