Match the graphs of the parametric equations x = f(t) and y = g(t) in (a) – (d) with the parametric curves labeled I-IV. y y 2 -2 -1 1 2 -2 -1 1 -1 I II y y 1.0 2.0 0.5 1.5 1.0 0.5 1.0 1.5 2,0 -0.5 0.5 -1.0f III X IV -1 2. 2. 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Match the graphs of the parametric equations x = f(t) and y = g(t) in (a) - (d) with the parametric curves labeled I-IV.
y
y
2
1
X
-2
-1
-2
-1
2
-1
-1
-2
-2
I
II
y
y
2.0
1.0
1.5
0.5
1.0
0.5
1.0
1.5
2.0
-0.5
0.5
-1.0
III
-2
-1
IV
2.
2.
Transcribed Image Text:Match the graphs of the parametric equations x = f(t) and y = g(t) in (a) - (d) with the parametric curves labeled I-IV. y y 2 1 X -2 -1 -2 -1 2 -1 -1 -2 -2 I II y y 2.0 1.0 1.5 0.5 1.0 0.5 1.0 1.5 2.0 -0.5 0.5 -1.0 III -2 -1 IV 2. 2.
(a) x
y
2.0
1.0
1.5
0,5
1.0
t
0.2
0.4
0.6
0.8
1.0
0.5
-0.5
0.2
0.4
0.6
0.8
1.0
-1.0F
---Select---
(b)
X
y
2
2
1
1
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1.0
-1
-1
- 2
- 2-
---Select---
(c)
y
1
-2 -1
1
2
-2
-1
-1
-1
-2
-2
---Select---
(d)
y
1
t
-2
-1
1
-2
-1
1
2
-1
-1
-2t
-2t
---Select---
Transcribed Image Text:(a) x y 2.0 1.0 1.5 0,5 1.0 t 0.2 0.4 0.6 0.8 1.0 0.5 -0.5 0.2 0.4 0.6 0.8 1.0 -1.0F ---Select--- (b) X y 2 2 1 1 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 -1 -1 - 2 - 2- ---Select--- (c) y 1 -2 -1 1 2 -2 -1 -1 -1 -2 -2 ---Select--- (d) y 1 t -2 -1 1 -2 -1 1 2 -1 -1 -2t -2t ---Select---
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