
In Problems

The graph of the curve of a parametric equation
Answer to Problem 19AYU
Solution:
The graph of the parametric equations
The rectangular equation of the parametric equation
Explanation of Solution
Given information:
The parametric equation is
Explanation:
To draw the given parametric equation, plug some values of
The interval for
The orientation is the 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
The orientation of the given curve is counter-clockwise.
Let
By using Pythagorean identity
The rectangular equation of the parametric equation
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Precalculus
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