Find parametric equations for the path of a particle that moves along the circle x² + (y - 3)2 = 16 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 (4, 3). 0 ≤ts 2n. x = 4 cos (t),y=3-4 sin(t) ✓ (b) Four times around counterclockwise, starting at (4, 3). 0 st≤ 8. x = 4 cos (t),y=3+ 4 sin(t) (c) Halfway around counterclockwise, starting at (0,7). 0 sts. x = =-4 cos(t)y=3+ 4 sin(t)
Find parametric equations for the path of a particle that moves along the circle x² + (y - 3)2 = 16 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 (4, 3). 0 ≤ts 2n. x = 4 cos (t),y=3-4 sin(t) ✓ (b) Four times around counterclockwise, starting at (4, 3). 0 st≤ 8. x = 4 cos (t),y=3+ 4 sin(t) (c) Halfway around counterclockwise, starting at (0,7). 0 sts. x = =-4 cos(t)y=3+ 4 sin(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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Please help me with part c, and explain why my answer is wrong.
![Find parametric equations for the path of a particle that moves along the circle x² + (y − 3)² = 16 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 (4, 3). 0 ≤ t ≤ 2.
x = 4 cos (t), y = 3-4 sin(t)
(b) Four times around counterclockwise, starting at (4, 3). 0 ≤ t ≤ 8.
x = 4 cos (t),y = 3 + 4 sin(t)
(c) Halfway around counterclockwise, starting at (0, 7). 0≤t≤n.
x = −4 cos (t),y = 3+4 sin(t)
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F622e2702-4586-4bc9-b2ca-5bde2658cbf4%2Fc5664764-d0f9-4727-bfa9-6f1c1b2fbec9%2Ffgtm4om_processed.png&w=3840&q=75)
Transcribed Image Text:Find parametric equations for the path of a particle that moves along the circle x² + (y − 3)² = 16 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 (4, 3). 0 ≤ t ≤ 2.
x = 4 cos (t), y = 3-4 sin(t)
(b) Four times around counterclockwise, starting at (4, 3). 0 ≤ t ≤ 8.
x = 4 cos (t),y = 3 + 4 sin(t)
(c) Halfway around counterclockwise, starting at (0, 7). 0≤t≤n.
x = −4 cos (t),y = 3+4 sin(t)
X
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