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The graph of the curve of a parametric equation
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Answer to Problem 14AYU
Solution:
The graph of the parametric equations
The rectangular equation of the parametric equation
Explanation of Solution
Given information:
The parametric equation
Explanation:
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
Now, let
Solve equation (1) for
Substitute this result for
The rectangular equation of the parametric equations
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
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