Consider the parametric equations below. x = 1+t, y = 1 - 3t, -2sts 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. -1 1 4 -1 1 2 3 4 -5 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -1 SxS4

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 20E
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Consider the parametric equations below.
x = 1 + t, y = 1- 3t,
-2 sts 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.
y
3
y
2
-1
1
3
4.
-1
2
4
-5
-5
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -1 sx S 4
Transcribed Image Text:Consider the parametric equations below. x = 1 + t, y = 1- 3t, -2 sts 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. y 3 y 2 -1 1 3 4. -1 2 4 -5 -5 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -1 sx S 4
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