Concept explainers
The graph of the curve of a parametric equation
Answer to Problem 12CT
Solution:
The graph of the parametric equations
The rectangular equation of the parametric equation
Explanation of Solution
Given information:
The parametric equation is
To draw the given parametric equation, plug some values of
The interval for
The orientation is curve traced out in a certain direction by the corresponding succession of points
The arrow shows the orientation along the curve as
As
Use points in the table to sketch the curve.
The graph of the parametric equation
Let
Solve equation (1) for variable
Substitute this result for
The rectangular equation of the parametric equation
Chapter 10 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
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