Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 6(0 - sin(0)), y = 6(1 - cos(0)) 12 y -10 8 6 -10 O no D D n 12 10- 10- 8- 8 6 6 10 20 10 20 12 -30 -20 -10 30 Identify any points at which the curve is not smooth. O The graph is not smooth at 0 = -n. O The graph is not smooth at 0 = 6n. O The graph is smooth everywhere. O The graph is not smooth at 0 = 2n. O The graph is not smooth at 0 = n*. 10 20 30 30 X
Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve. Cycloid: x = 6(0 - sin(0)), y = 6(1 - cos(0)) 12 y -10 8 6 -10 O no D D n 12 10- 10- 8- 8 6 6 10 20 10 20 12 -30 -20 -10 30 Identify any points at which the curve is not smooth. O The graph is not smooth at 0 = -n. O The graph is not smooth at 0 = 6n. O The graph is smooth everywhere. O The graph is not smooth at 0 = 2n. O The graph is not smooth at 0 = n*. 10 20 30 30 X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use a graphing utility to graph the curve represented by the parametric equations. Indicate the direction of the curve.
Cycloid: x = 6(0 - sin(0)), y = 6(1 cos(0))
12
y
10
-6
-8
-10-
-12
AN
nn
12-
y
10-
8
6
12-
10-
8
6
y
-30
10
-20
20
-10
30
Identify any points which the curve not smooth.
The graph is not smooth at 0 = -nл.
The graph is not smooth at 0 = 6n.
The graph is smooth everywhere.
The graph is not smooth at 0 = 2nπ.
The graph is not smooth at 0 = nл.
y
10
10
20
20
30
30
X
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