Consider the following. x = et - 6, y = e2t (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 250 250 200 200 150 150 100 100 50 X 10 -5 5 10 - 10 -5 10

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.
x = e – 6, y = e2t
(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
250
250
200
200
150
150
100
100
50
X
- 10
-5
10
-10
-5
10
y
250
250
200
200
150
150
100
100
50
X
10
-5
10
- 10
-5
10
Transcribed Image Text:Consider the following. x = e – 6, y = e2t (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 250 250 200 200 150 150 100 100 50 X - 10 -5 10 -10 -5 10 y 250 250 200 200 150 150 100 100 50 X 10 -5 10 - 10 -5 10
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