Find parametric equations for the path of a particle that moves along the circle x2 + (y − 2)2 = 9 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (3, 2). 0 ≤ t ≤ 2?. (b) Four times around counterclockwise, starting at (3, 2). 0 ≤ t ≤ 8?. (c) Halfway around counterclockwise, starting at (0, 5). 0 ≤ t ≤ ?.
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 2)2 = 9 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (3, 2). 0 ≤ t ≤ 2?. (b) Four times around counterclockwise, starting at (3, 2). 0 ≤ t ≤ 8?. (c) Halfway around counterclockwise, starting at (0, 5). 0 ≤ t ≤ ?.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 34E
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Question
Find parametric equations for the path of a particle that moves along the circle
x2 + (y − 2)2 = 9
in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.)
(a) Once around clockwise, starting at (3, 2).
(b) Four times around counterclockwise, starting at (3, 2).
(c) Halfway around counterclockwise, starting at (0, 5).
0 ≤ t ≤ 2?.
(b) Four times around counterclockwise, starting at (3, 2).
0 ≤ t ≤ 8?.
(c) Halfway around counterclockwise, starting at (0, 5).
0 ≤ t ≤ ?.
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