Concept explainers
To find: The correct graph for parametric equations and domain and range.
Answer to Problem 91E
The correct graph for parametric equations is
Explanation of Solution
Given information:
The parametric equations are,
Calculation:
Consider the parametric equation
Calculate the value as the parameter
Table 1
The above values shows that the graph is closed curve as the point returns to the same place after rotation of
Here, the parametric equations are bit complicated to apply laws of inequality for finding domain and range, so apply the method of calculus to obtain the minimum value of
Equate the value of
For the above values of
Similarly,
Equate the value of
So that
Thus, the correct graph for parametric equations is
Chapter 10 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