Question

Use a graphing utility to graph the curve represented by the parametric equations.

Answer 1

Step 1:

The parametric equations of the cycloid is .

Construct a table for different values of .

	0	2.52	5.76	7.5	9	11	15
x	0	1.64	6.50	6.12	8.38	12.6	14.28
y	-0.5	2.21	-0.2	0.56	2.36	0.75	2.24
(x, y)	(0, -0.5)	(1.64, 2.21)	(6.5, -0.2)	(6.12, 0.56)	(8.38, 2.36)	(12.6, 0.75)	(12.36, 0.33)

Graph:

Plot the graph for the parametric equations.

Plot the points obtained from the table.

Connect the points to a smooth curve.

Solution:

Graph of the cycloid wit the parametric equations is,