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Concept explainers
(a)
To sketch: the curve of the given parametric equations
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 8RCC
The procedure to sketch the curve of the parametric equations is explained.
Explanation of Solution
Given:
Calculation:
The procedure to sketch the curve of the parametric equations
If f and g are functions defined on an interval I , then the set of points
For different value of t, get a point on the curve and then write these values in a table.
For example, if
So the corresponding point is
Then, plot the points
Conclusion:
Therefore, the procedure to sketch the curve of the parametric equations is explained.
(b)
To explain: eliminate the parameter.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 8RCC
The parameter is eliminated.
Explanation of Solution
Calculation:
The method to eliminate the parameter:
The curve given by parametric equations can be represented by a single rectangular equation in x and y .
The process of finding this equation is called eliminating the parameter.
Solve for parameter in one equation, and then substitute its value into the other equation.
Thus, the parameter is eliminated.
Conclusion:
Therefore, the parameter is eliminated.
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
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