A pair of parametric equations is given. x = sin²(t), y = sin(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. -1.5 -1.0 -0.5 1.5 1.0ㅏ 0.5 -0.5 -1.0- -1.5 y 1.5 1.0 0.5 y 1.5 1.0 0.5 x 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 -0.5 -1.0 -1.5 y 1.5 1.0 0.5 -1.5 -1.0 -0% 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 -0.5 -0.5 -1.0 -1.5 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. . where sxs -1.0 -1.5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A pair of parametric equations is given.
x = sin²(t), y = sin⭑(t)
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
-1.5 -1.0
-0.5
1.5
1.0ㅏ
0.5
-0.5
-1.0-
-1.5
y
1.5
1.0
0.5
y
1.5
1.0
0.5
x
x
0.5
1.0
1.5
-1.5
-1.0 -0.5
2.5
1.0
1.5
-0.5
-1.0
-1.5
y
1.5
1.0
0.5
-1.5
-1.0 -0%
0.5
1.0
1.5
-1.5
-1.0 -0.5
0.5
1.0
1.5
-0.5
-0.5
-1.0
-1.5
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
.
where [
sxs
-1.0
-1.5
Transcribed Image Text:A pair of parametric equations is given. x = sin²(t), y = sin⭑(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. -1.5 -1.0 -0.5 1.5 1.0ㅏ 0.5 -0.5 -1.0- -1.5 y 1.5 1.0 0.5 y 1.5 1.0 0.5 x x 0.5 1.0 1.5 -1.5 -1.0 -0.5 2.5 1.0 1.5 -0.5 -1.0 -1.5 y 1.5 1.0 0.5 -1.5 -1.0 -0% 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 -0.5 -0.5 -1.0 -1.5 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. . where [ sxs -1.0 -1.5
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