Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(0 sin(0)), y = 5(1 - cos(0)) -10 10- -8 8 -6 nn 0 -30 -25 -20 -15 -10 -5 -10- 5 10 15 20 25 30 10 8 ND Identify any points at which the curve is not smooth. The graph is not smooth at = nπ. O The graph is smooth everywhere. O The graph is not smooth at = -nit. = 2nπt. The graph is not smooth at O The graph is not smooth at = 5ni. X X 5 10 15 20 25 30 X 5 10 15 20 25 30

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 11T
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Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve.

Cycloid: x = 5(? − sin(?)),    y = 5(1 − cos(?)) 
 
and 
Identify any points at which the curve is not smooth.
 
EXPLQIN AND MARK THE ANSWERS IN AN BOX THANKS 
Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve.
Cycloid: x = 5(0 sin (0)), y = 5(1 - cos(0))
y -10
10- y
-8
8
-6
6
0
an
Un
10 15 20 25 30
10-
X
8
6-
-30
-8-
-25 -20 -15 -10 -5
-10 y
5
Identify any points at which the curve is not smooth.
The graph is not smooth at 8 = nπ.
O The graph is smooth everywhere.
O The graph is not smooth at 8 = -nπ.
The graph is not smooth at A = 2nt.
O The graph is not smooth at 0 = 5mm.
X
X
5 10 15 20 25 30
X
5 10 15 20 25 30
Transcribed Image Text:Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 5(0 sin (0)), y = 5(1 - cos(0)) y -10 10- y -8 8 -6 6 0 an Un 10 15 20 25 30 10- X 8 6- -30 -8- -25 -20 -15 -10 -5 -10 y 5 Identify any points at which the curve is not smooth. The graph is not smooth at 8 = nπ. O The graph is smooth everywhere. O The graph is not smooth at 8 = -nπ. The graph is not smooth at A = 2nt. O The graph is not smooth at 0 = 5mm. X X 5 10 15 20 25 30 X 5 10 15 20 25 30
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