2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. x = t²-1 y=t+2 -6-5-4 -3-2 -2≤t≤2 6 in 4 3 N

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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Please solve this problem exactly same way on extra example work
Example
Sketch the curve by using the parametric equations to plot points. Indicate with an arrow
the direction in which the curve is traced as t increases.
Plug t
O-N
into x dy
t
X
-2 - 10
-1 -2
ONO
10
awnw & As
y
6
3
6
->>
x = t³ + t
Plot (x,y)
Coordinates
y = t² + 2
t=-2
-2≤t≤2
t=-1
+=0
t=2
X
Transcribed Image Text:Example Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. Plug t O-N into x dy t X -2 - 10 -1 -2 ONO 10 awnw & As y 6 3 6 ->> x = t³ + t Plot (x,y) Coordinates y = t² + 2 t=-2 -2≤t≤2 t=-1 +=0 t=2 X
2.)
Sketch the curve by using the parametric equations to plot points. Indicate with
an arrow the direction in which the curve is traced as t increases.
x = t² - 1
y=t+2
-2≤t≤2
-6-5-4 -3 -2 -1
S
3
N
-
-2-
-3-
4
Transcribed Image Text:2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. x = t² - 1 y=t+2 -2≤t≤2 -6-5-4 -3 -2 -1 S 3 N - -2- -3- 4
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