Concept explainers
a.
To find out how the plane curves differ from each other.
a.
Explanation of Solution
Given Information:
The given curve is-
The given curve is-
Since can have any values,
Therefore
The graph of the parametric curve is shown below.
The orientation of the curve from left to right.
Now, eliminating the parameter from both the equations.
b.
To find out how the plane curves differ from each other.
b.
Explanation of Solution
Given Information:
The given curve is-
Calculation:
The given curve is-
Since
Therefore,
The graph of the parametric curve is shown below-
The orientation of the curve depends upon the value of
Now, eliminating the parameter from both the equations.
c.
To find out how the plane curves differ from each other.
c.
Explanation of Solution
Given Information:
The given curve is-
The given curve is-
Since, for all
Therefore,
The graph of the parametric curve is shown below.
The orientation of the curve from right to left.
Now, eliminating the parameter from both the equations.
c.
To find out how the plane curves differ from each other.
c.
Explanation of Solution
Given Information:
The given curve is-
Calculation:
The given curve is-
Since, for all
Therefore,
The graph of the parametric curve is shown below-
The orientation of the curve from left to right.
Now, eliminating the parameter from both the equations.
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
- 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