1. Match each vector function with the graph of the corresponding space curve. Arrows indicate direction of motion. Not all graphs will be used. Choose carefully! r(t) = (0, -t, 4-t²) r(t) = (-t, t, 1 + 1 ) r(t) = (2 cos(t), 2 sin(t), t/4) r(t) = (2 cos(t), 2 sin(t), 3) r(t) = (-t, t, 4-t)

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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1. Match each vector function with the graph of the corresponding space curve.
Arrows indicate direction of motion. Not all graphs will be used. Choose carefully!
r(t) = (0, -t, 4-t²)
r(t) = (-t, t, 1 + 1 )
r(t) = (2 cos(t), 2 sin(t), t/4)
r(t) = (2 cos(t), 2 sin(t), 3)
r(t) = (-t, t, 4-t)
A
D
ни со на сл
G
5
1
-3-2x14
3
5
4
2
3
2
1
3-2-1
5
*****
Z
12
-3-21A
3
21
1.
K
2
4
6
3456
Joe
56
Y
Y
Y
3
2
1
-3-2x1A
B
4
E
5
-
43229
Z
And
32x1
234
3456
5
4
4+kk
CHPORRE
V
V
3 4 5 6
2
H
3
3 2 1 1 2 3
Y
Y
6
Y
C
F
5
4
3
2
1
y
-3-2-x1 2 3 4 5 6
-
I
5432
1
-3-2-1
N
***** *****
Z
60
2x1A=T²2 3
н ф со ст
3-2-1
Z
Carte
K
23456
23
Y
Y
Transcribed Image Text:1. Match each vector function with the graph of the corresponding space curve. Arrows indicate direction of motion. Not all graphs will be used. Choose carefully! r(t) = (0, -t, 4-t²) r(t) = (-t, t, 1 + 1 ) r(t) = (2 cos(t), 2 sin(t), t/4) r(t) = (2 cos(t), 2 sin(t), 3) r(t) = (-t, t, 4-t) A D ни со на сл G 5 1 -3-2x14 3 5 4 2 3 2 1 3-2-1 5 ***** Z 12 -3-21A 3 21 1. K 2 4 6 3456 Joe 56 Y Y Y 3 2 1 -3-2x1A B 4 E 5 - 43229 Z And 32x1 234 3456 5 4 4+kk CHPORRE V V 3 4 5 6 2 H 3 3 2 1 1 2 3 Y Y 6 Y C F 5 4 3 2 1 y -3-2-x1 2 3 4 5 6 - I 5432 1 -3-2-1 N ***** ***** Z 60 2x1A=T²2 3 н ф со ст 3-2-1 Z Carte K 23456 23 Y Y
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