Consider the following. x = In(t), y = Vt, t2 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Consider the following.
In(t),
y = Vt,
X =
t > 81
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
y
y
100
X
4
6.
8
- 20
80
-40
60
- 60
40
- 80
20
- 100
-8
-6
-4
-2
Transcribed Image Text:Consider the following. In(t), y = Vt, X = t > 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y 100 X 4 6. 8 - 20 80 -40 60 - 60 40 - 80 20 - 100 -8 -6 -4 -2
y
y
100
100
80
80
60
60
40
X
2
4
6
8
2
8
40
20
20
Transcribed Image Text:y y 100 100 80 80 60 60 40 X 2 4 6 8 2 8 40 20 20
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