Concept explainers
To Find:The coordinates of the leftmost and the rightmost point of the loop.
Answer to Problem 25E
Rightmost point is
Leftmost point is
Explanation of Solution
Given:Investigate the family of curves given by the parametric equations
Given:
The graph for the families of parametric equation for all the values of c
Here
From the graph it is seen that when the
The leftmost and the rightmost both have vertical tangentshaving slope
Then
Now for
Thus the rightmost point is
Similarly
Now for
Thus the leftmost point is
Chapter 4 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