Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 4 + sin(t), y = 6+3 cos(t), π/2 sts 2n The motion of the particle takes place on an ellipse centered at (x, y) = ( [ (x, y) = As t goes from m/2 to 2m, the particle starts at the point (x, y) = and moves clockwise three-fourths of the way around the ellipse to

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 31E
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Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.)
x = 4 + sin(t), y = 6 + 3 cos(t), π/2 ≤ t ≤ 2π
The motion of the particle takes place on an ellipse centered at (x, y) =
› = ( [
(x, y) =
As t goes from 1/2 to 2π, the particle starts at the point (x, y) =
and moves clockwise three-fourths of the way around the ellipse to
Transcribed Image Text:Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 4 + sin(t), y = 6 + 3 cos(t), π/2 ≤ t ≤ 2π The motion of the particle takes place on an ellipse centered at (x, y) = › = ( [ (x, y) = As t goes from 1/2 to 2π, the particle starts at the point (x, y) = and moves clockwise three-fourths of the way around the ellipse to
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