x = 3t + 8, y = 8t + 3 a) 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. CHOICE A CHOICE B V

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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Consider the following.
y = 8t + 3
(a) 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.
CHOICE A
CHOICE B
y
y
x = 3t + 8,
-40 -30 - 20
- 10
40
30
20
10
- 10
-20f
-30
- 40
10
20
L
30 40
X
- 40
1
-30 - 20
- 10
40
30
201
10
- 10
-20
- 30
- 40
10
20
30 40
X
i
Transcribed Image Text:Consider the following. y = 8t + 3 (a) 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. CHOICE A CHOICE B y y x = 3t + 8, -40 -30 - 20 - 10 40 30 20 10 - 10 -20f -30 - 40 10 20 L 30 40 X - 40 1 -30 - 20 - 10 40 30 201 10 - 10 -20 - 30 - 40 10 20 30 40 X i
CHOICE C
y
40
30
20
10
+
-40 -30 -20 -10
10 20 30 40
- 10
- 20
-30
- 40
(b) Eliminate the parameter to find a Cartesian equation of the curve.
CHOICE D
-40 -30 -20 -10
y
40
30
20
10
- 10
- 20
- 30
-40
10
20
30
40
X
Transcribed Image Text:CHOICE C y 40 30 20 10 + -40 -30 -20 -10 10 20 30 40 - 10 - 20 -30 - 40 (b) Eliminate the parameter to find a Cartesian equation of the curve. CHOICE D -40 -30 -20 -10 y 40 30 20 10 - 10 - 20 - 30 -40 10 20 30 40 X
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