Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. I -1.0 2 $++ -4 -2 2 4 -2 -4 IV -4 (f) -0.5 -2 (a) x = t4 t + 1, y = ² ---Select--- V (b) x = t²2t, y = √t ---Select--- V (c) x = t³-2t, y=t²-t ---Select--- V (d) x cos(5t), y = sin(2t) ---Select--- V y 2.0 1.5 1.0 0.5 8 6 4 2 (e) x = t + sin(4t), y = t2 + cos(3t) ---Select--- V x = t + sin(2t), y = t + sin(3t) ---Select-- V 0.5 2 X 1.0 @ 4 X II O y 1.0 0.8 IK 0.6 0.4 0.2 0.5 1.0 1.5 X 2.0 2.5 3.0 III O -6 VI 10 -4 -2 6 -0.5 4 2 -21 -4 1.0 0.5 DA 2 0.5 4 6 0.5 1.0 O X

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Question
Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices.
(a)
I
- 1.0
y
y
y
2.0
1.5
← + +
1.0
X
X
2
4
-6
-4
2
4
6
0.5
IV
(f)
-0.5
x = t4 t + 1, y = 2²2²
---Select--- V
(b) x = t²2t, y = √t
---Select-- V
(c) x = t³ 2t, y = ²-t
-Select-- V
(d) x = cos(5t), y = sin(2t)
---Select--- V
y
8
6
2
(e) x = t + sin(4t), y = t² + cos(3t)
---Select--- V
x = t + sin(2t), y = t + sin(3t)
---Select--- V
0.5
2
1.0
4
X
II
Ⓡi
y
1.0
0.8
0.6
0.4
0.2
K
1.5
0.5
1.0
2.0
2.5 3.0
III
Q
VI
- 10
-0.5
1.0
0.5
-0.5H
0.5
x
↑
Transcribed Image Text:Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. (a) I - 1.0 y y y 2.0 1.5 ← + + 1.0 X X 2 4 -6 -4 2 4 6 0.5 IV (f) -0.5 x = t4 t + 1, y = 2²2² ---Select--- V (b) x = t²2t, y = √t ---Select-- V (c) x = t³ 2t, y = ²-t -Select-- V (d) x = cos(5t), y = sin(2t) ---Select--- V y 8 6 2 (e) x = t + sin(4t), y = t² + cos(3t) ---Select--- V x = t + sin(2t), y = t + sin(3t) ---Select--- V 0.5 2 1.0 4 X II Ⓡi y 1.0 0.8 0.6 0.4 0.2 K 1.5 0.5 1.0 2.0 2.5 3.0 III Q VI - 10 -0.5 1.0 0.5 -0.5H 0.5 x ↑
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