Concept explainers
(a)
To find: The parametric equation for the path of the particle that moves along the circle
(a)
Answer to Problem 31E
The required parametric equation is
Explanation of Solution
Given:
The given path is once around clockwise starting at
The given equation is
Calculation:
Consider the given equation is,
Consider the given starting point is,
Then,
Solve further as,
Consider the positive square roots are taken into the consideration. Then,
The parametric equations show that the motion of the particle is around the circle is anticlockwise and the equation is,
The modified equation when the motion around the circle is anticlockwise is,
In the above equation the
The required range of the parametric equation is,
(b)
To find: The parametric equation for the path of the particle that moves along the circle
(b)
Answer to Problem 31E
The required parametric equation is
Explanation of Solution
Given:
The given path is three time counter clockwise and starting at
The given equation is
Calculation:
To move the particle three time anticlockwise, the interval to be taken is between
The required range of the parametric equation is,
(c)
To find: The parametric equation for the path of the particle that moves along the circle
(c)
Answer to Problem 31E
The required parametric equation is
Explanation of Solution
Given:
The given path is halfway around counter clockwise and starting at
The given equation is
Calculation:
For the particle that start at
The required range of the parametric equation is,
Chapter 1 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