Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 4 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 (2, 1). 0 ≤ t ≤ 2?. (b) Four times around counterclockwise, starting at (2, 1). 0 ≤ t ≤ 8?. (c) Halfway around counterclockwise, starting at (0, 3). 0 ≤ t ≤ ?.
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 4 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 (2, 1). 0 ≤ t ≤ 2?. (b) Four times around counterclockwise, starting at (2, 1). 0 ≤ t ≤ 8?. (c) Halfway around counterclockwise, starting at (0, 3). 0 ≤ t ≤ ?.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find parametric equations for the path of a particle that moves along the circle
x2 + (y − 1)2 = 4
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 (2, 1).
0 ≤ t ≤ 2?.
(b) Four times around counterclockwise, starting at (2, 1).
0 ≤ t ≤ 8?.
(c) Halfway around counterclockwise, starting at (0, 3).
0 ≤ t ≤ ?.
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