Consider the following. x = t, y- In(t) (a) Eliminate the parameter to find a Cartesian equation that represents the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 2.5 2.5 0.5 0.5 2.0 2.0 1 3 1 4 5 1.5 1.5 -0.5 -0.5 1.0 1.0 -1.0 -1.0 0.5 0.5 -1.5 -1.5 1 3 4 1 3 -2.0 -2.0 -0.5 -0.5 o-2.5 00-2.5/

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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Question
Consider the following.
x = t³, y = In(t)
(a) Eliminate the parameter to find a Cartesian equation that represents 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
y
y
2.5
2.5
0.5
0.5
2.0
2.0
1
4
4
1.5
1.5
0.5
-0.5
1.0
1.0
-1.0
-1.0
0.5
0.5
-1.5
-1.5
1
3
4
3
- 2.0
- 2.0
-0.5
-0.5
O-2.5
2.5
Transcribed Image Text:Consider the following. x = t³, y = In(t) (a) Eliminate the parameter to find a Cartesian equation that represents 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 y y 2.5 2.5 0.5 0.5 2.0 2.0 1 4 4 1.5 1.5 0.5 -0.5 1.0 1.0 -1.0 -1.0 0.5 0.5 -1.5 -1.5 1 3 4 3 - 2.0 - 2.0 -0.5 -0.5 O-2.5 2.5
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