Find parametric equations and a parameter interval for the motion of a particle that starts at (0, -a) and traces the circle x² + y² = a² a. once clockwise. b. once counterclockwise. c. three times clockwise. d. three times counterclockwise.
Find parametric equations and a parameter interval for the motion of a particle that starts at (0, -a) and traces the circle x² + y² = a² a. once clockwise. b. once counterclockwise. c. three times clockwise. d. three times counterclockwise.
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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Transcribed Image Text:Find parametric equations and a parameter interval for the motion of a particle that starts at (0, -a) and traces the circle x² + y² = a²
a. once clockwise.
b. once counterclockwise.
c. three times clockwise.
d. three times counterclockwise.
L
a. wnicn or the rollowing sets or equations couia trace the circle x +y = a once clockwise, starting at (U, -a)/
O A. x = -asin t, y = - acos t, 0≤t≤2
O B. X=-a cos t₁ y = asin t, 0≤t≤2
O c. xasin t, ya cos t, 0≤t≤ 2
OD. x = a cos t, y=- asin t, Ost≤2
b. Which of the following sets of equations could trace the circle x² + y² = a² once counterclockwise, starting at (0, - a)?
O A. xa cos t, y = a sin t, 0≤t≤ 2
OB. X=-a cos t, y = - asin t, 0≤t≤2
OC. x = a sin t, y = - acos t, 0≤t≤2
O D. x= -asin t, y = acos t, 0≤t≤2
Transcribed Image Text:Find parametric equations and a parameter interval for the motion of a particle that starts at (0, -a) and traces the circle x² + y² = a²
a. once clockwise.
b. once counterclockwise.
c. three times clockwise.
d. three times counterclockwise.
O c. x=asin t, y = -acos t, Ost≤2
O D. x= -asin t, y = acos t, 0≤t≤2
c. Which of the following sets of equations could trace the circle x² + y² = a² three times clockwise, starting at (0, -a)?
O A. x = -a sin t, y = - acos t, 0≤t≤6x
OB. X=-a cos t, y = asin t, 0≤t≤8
OC. x = asin t, y = a cos t, 0≤t≤ 4x
O D. x= -asin t, y = - acos t, 0≤t≤2
GREED
2
d. Which of the following sets of equations could trace the circle x² + y² = a² three times counterclockwise, starting at (0, - a)?
OA. X=-a cos t, y = - asin t, 0st≤8
OB. X=asin t, y=- acos t, 0≤t≤6x
OC. x=asin t, y = -acos t, Ost≤2
OD. X=-a cos t, y = - asin t, 0≤t≤4x
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