c. Which of the following sets of equations could trace the circle x² + y² = a² three times clockwise, starting at (0, -a)? OA. x= - asin t, y = -acos t, 0≤t≤6 OB. x = -a cos t, y = asin t, 0≤t≤8 O c. x=asin t, y=a cos t, Ost≤4 O D. x = -asin t, y = - acos t, Ost≤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
c. Which of the following sets of equations could trace the circle x² + y² = a² three times clockwise, starting at (0, -a)? OA. x= - asin t, y = -acos t, 0≤t≤6 OB. x = -a cos t, y = asin t, 0≤t≤8 O c. x=asin t, y=a cos t, Ost≤4 O D. x = -asin t, y = - acos t, Ost≤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
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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Question
Part c and d please
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, 0≤t≤2
OD. X=-a cos t, y = - asin t, Ost≤4x
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