Concept explainers
(a)
To show: The parametric equations for the prolate cycloid are same as the equations for the curtate cycloid.
(a)
Explanation of Solution
Given information:
In exercise
Proof:
Draw the curve traced by
Figure(1)
As the path traced by the point
So, the equation of prolate cycloid is same as the equation for the curtate cycloid.
Therefore, the equation of the prolate cycloid is
(b)
To graph: The prolate cycloid for
(b)
Explanation of Solution
Given information:
In exercise
Graph:
The equation of the equation of the prolate cycloid for
To graph the equation, follow the steps using graphing calculator.
First press the
Now press the key
Now, press the
Figure (2)
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning