A pair of parametric equations is given. x = Vt, y = 9 t (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. AA y y 10- 10 8 8 6- 4 4 2 -6 -5 -4 13 -2 -1 1 2 3 4 5 6 y 4 4 2 2 1 2 4 -6 -5 -4 -2 -1 -2 -4 -6 -8 -8 -10 -10 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. , where x ? O 0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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A pair of parametric equations is given.
= Vt, y = 9 - t
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
y
y
AA
10|
10
8
8
6
4
4
2
X
-6
-5
-4
3
-2
-1
1
2
4
5
6
-2
-2
-4
-4
y
y
4
4
2
2
X
1 2
3
4 5
-6
-5
-4
- 3
-2
-1
-2
-4
-4
-6
-6
-8
-8
- 10-
- 10F
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
where x ? O 0
2.
3)
Transcribed Image Text:A pair of parametric equations is given. = Vt, y = 9 - t (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y AA 10| 10 8 8 6 4 4 2 X -6 -5 -4 3 -2 -1 1 2 4 5 6 -2 -2 -4 -4 y y 4 4 2 2 X 1 2 3 4 5 -6 -5 -4 - 3 -2 -1 -2 -4 -4 -6 -6 -8 -8 - 10- - 10F (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. where x ? O 0 2. 3)
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