To calculate:
The point of intersection of the given curves:
Answer to Problem 32E
The point of intersection of the given curves
Explanation of Solution
Given information:
The point of intersection of given curves
Calculation:
Consider these curves
Graph the two polar coordinates.
These appear to be nine point of interaction including the origin.
From the symmetry of the figure, see that each point of intersection other than the origin is equivalent from the origin and that each is offset from the major axis by the anfle of plus or minus
The radius of each of the curves at the point is:
The 9 points of intersection and in polar coordinates the points:
Now, the graph the two polar coordinates with intersection points.
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