To calculate:
The intersection points of the following curve:
Answer to Problem 30E
The intersection points of the curves are
Explanation of Solution
Given information:
Calculation:
The equations of the curves are:
So, the curves are plotted as below:
Now, need to find the interval in which loop exists:
Now, need to find the co-ordinates of
At
At
At
At
At
At
So, get that:
In the first quadrant, same point is represented by
In the second quadrant, same point is represented by
In the third quadrant, same point is represented by
And the origin is also there as another point of intersection:
Hence, all the intersection points of the given curves are:
Chapter H.2 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