Concept explainers
a.
Tosketch the curve represent by the given parametric equations.
a.
Answer to Problem 22E
The above graph is the sketch of the given parameteric equations
Explanation of Solution
Given:
Calculation:
The above graph is the sketch of the given parametric equations.
With the orientation from left to right.
Thus we can sketch the parametric equations.
b.
To eliminate the parameter and write the resulting rectangular equation.
b.
Answer to Problem 22E
The rectangular equation with eliminated parameters
Explanation of Solution
Given:
Calculation:
Solve for
Susbstitute
The above equation is the rectangular equation with eliminated parameters.
The vertex is at the point
Therefore, the domain values should be restricted to
Thus we can eliminate the parameter and write the resulting rectangular equation.
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- 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