Consider the parametric equations below. (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. 2000 1000 -1000 -2000 2 6 8 10 x -10-8 -6 2000 (b) Eliminate the parameter to find a Cartesian equation of the curve. 1000 4-2 -1000) -2000 2000 1000 -1000 -2000 6 8 10 X 2000 1000 -10-8-6-2 -1000 -2000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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Consider the parametric equations below.
(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.
2000
1000
-1000
-2000
2
6
8 10
x
-10-8
-6
2000
(b) Eliminate the parameter to find a Cartesian equation of the curve.
1000
4-2
-1000)
-2000
2000
1000
-1000
-2000
6
8
10
X
2000
1000
-10-8-6-2
-1000
-2000
Transcribed Image Text:Consider the parametric equations below. (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. 2000 1000 -1000 -2000 2 6 8 10 x -10-8 -6 2000 (b) Eliminate the parameter to find a Cartesian equation of the curve. 1000 4-2 -1000) -2000 2000 1000 -1000 -2000 6 8 10 X 2000 1000 -10-8-6-2 -1000 -2000
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