A palr of parametric equations is given. x = t2, y =t- 2, 2 sts 4 (a) Sketch the curve represented by the parametric equations. Use arrows to Indicate the direction of the curve as t increases. y y 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.5 15 10 10 15 - 15 -10 5 10 15 -0.5 -0.5 -1.0- -1.0 y y 2.0 2.0H 1.5 1.5 1.0 1.0 9.5 0.5 - 15 -10 -5 10 15 -15 -10 -5 10 15 -0.5 -0.5 -1.0
A palr of parametric equations is given. x = t2, y =t- 2, 2 sts 4 (a) Sketch the curve represented by the parametric equations. Use arrows to Indicate the direction of the curve as t increases. y y 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.5 15 10 10 15 - 15 -10 5 10 15 -0.5 -0.5 -1.0- -1.0 y y 2.0 2.0H 1.5 1.5 1.0 1.0 9.5 0.5 - 15 -10 -5 10 15 -15 -10 -5 10 15 -0.5 -0.5 -1.0
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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13

Transcribed Image Text:A palr of parametric equations is given.
x = 2, y=t- 2, 2 sts 4
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
y
2.0
2.0
1.5
1.5
1.0
1.0
0.5
0.5
X
15
-10
45
10
15
-15
-10
-5
10
15
-0.5
-0.5
-1.0
-1.0
y
y
2.0}
2.0
1.5
1.5-
1.0
1.0
9.5
0.5
- 15
-10
-5
10
15
-15
-10
-5
5.
10
15
-0.5
-0.5
-1.0
-1.0

Transcribed Image Text:y
y
2.0
2.0
1.5
1.5
1.0
1.0
0.5
0.5
-15
-10
-5
5
10
15
-15
-10
5
10
15
-0.5
-0.5
-1.0
-1.0
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
, where
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