(a)
To find: the parametric equations for the curve.
(a)
Answer to Problem 62E
The parametric equations are
Explanation of Solution
Given:
Calculation:
Consider the following sketch of a concentric circles curve. Create a diagram of all the triangles and length using simple trigonometry
Create
Create
Conclusion:
Hence, the parametric equations are
(b)
To draw: a Graph of the curve using a graphing device.
(b)
Answer to Problem 62E
Hence the resultant graph is:
Explanation of Solution
Given:
Calculation:
Use a graphing device to plot the curve for
Conclusion:
Hence the resultant graph is drawn.
(c)
To eliminate: the parameter, and identify the curve.
(c)
Answer to Problem 62E
The parameter is
The curve is an ellipse.
Explanation of Solution
Calculation:
Now eliminate the parameter
The curve is an ellipse.
Conclusion:
Hence the parameter is
The curve is an ellipse.
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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