(a)
To show: the given parametric equations are the dog’s path
(a)
Explanation of Solution
Given:
Calculation:
Consider the following sketch of an involute of a circle. Create a diagram of all the triangles and length using simple trigonometry
Create the first equation for the curve for the point D . In order to do this find the x length to the point D using the lengths of the two triangles namely
Create the second equation for the curve for the point D . In order to do this find the y height to the point D using the lengths of the two triangles namely
Conclusion:
Therefore, parametric equations for the dog’s path are
(b)
To graph: the path of the dog
(b)
Answer to Problem 67E
Explanation of Solution
Calculation:
Use a graphing device to plot the curve for
Conclusion:
Therefore, the graph was drawn.
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