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Concept explainers
Define and provide details of parametrization.
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Explanation of Solution
Description:
Parametrization of the curve consists of both equations and intervals of a curve together.
If x and y in the plane are given with a functions, that is
Thus, the parametrization of the curve in xy-plane is described.
Since we are rewriting the variables in a single parameter t, that is
Thus, the
The parametrization of a curve is not unique.
Example:
The parametrization for a circle is
Thus, the parametrization curve is not unique.
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Chapter 11 Solutions
Thomas' Calculus - With MyMathLab
- 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
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