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Tofind:the parametric equations for an object that moves along the ellipse with the motion counterclockwise and required 4 seconds for complete revolution.
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Answer to Problem 71RE
The parametric equations:
Explanation of Solution
Given:
Concept used:
The parametric equation has equation for each variable whereas rectangular equation has one equation
In rectangular equation it composed of variable like
To convert parametric to rectangular
Calculation:
According to the given equation:
The equation is of ellipse.
Let parametric equation be:
At
Now,
It takes 4s for complete revolution:
So,
Parametric equation:
Hence, the Parametricequation is
Chapter 10 Solutions
Precalculus
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