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a. Which of the following sets of equations could trace the circle x +y = a once clockwise, starting at (a,0)? O A. X= - a cos t, y =a sin t, 0 sts2n O B. X= acos t, y= - asin t, 0sts2r OC. x-asin t, y = a cos t, 0sts2n O D. x= - a sin t, y= - a cos t, 0 sts2n b. Which of the following sets of equations could trace the circle x +y = a once counterclockwise, starting at (a,0)? %3D O A. X= - a cos t, y = -a sin t, 0sts 2n O B. x=a cos t, y = a sin t, 0sts2n O C. x= - asin t, y= a cos t, 0 sts2n O D. x= a sin t, y = - a cos t, 0sts2r c. Which of the following sets of equations could trace the circle x +y = a four times clockwise, starting at (a,0)? O A. X=acos t, y= - a sin t, 0sts8r B. x= a sin t, y = a cos t, 0sts 2n OC. x= - a sin t, y= - a cos t, 0sts4r O D. x=acos t, y= - a sin t, 0 sts6T

a. Which of the following sets of equations could trace the circle x +y = a once clockwise, starting at (a,0)? O A. X= - a cos t, y =a sin t, 0 sts2n O B. X= acos t, y= - asin t, 0sts2r OC. x-asin t, y = a cos t, 0sts2n O D. x= - a sin t, y= - a cos t, 0 sts2n b. Which of the following sets of equations could trace the circle x +y = a once counterclockwise, starting at (a,0)? %3D O A. X= - a cos t, y = -a sin t, 0sts 2n O B. x=a cos t, y = a sin t, 0sts2n O C. x= - asin t, y= a cos t, 0 sts2n O D. x= a sin t, y = - a cos t, 0sts2r c. Which of the following sets of equations could trace the circle x +y = a four times clockwise, starting at (a,0)? O A. X=acos t, y= - a sin t, 0sts8r B. x= a sin t, y = a cos t, 0sts 2n OC. x= - a sin t, y= - a cos t, 0sts4r O D. x=acos t, y= - a sin t, 0 sts6T

Advanced Engineering Mathematics
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 and a parameter interval for the motion of a particle that starts at \((a,0)\) and traces the circle \(x^2 + y^2 = a^2\). a. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) once clockwise, starting at \((a,0)\)? - A. \(x = a\cos t,\ y = a\sin t,\ 0 \leq t \leq 2\pi\) - B. \(x = a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 2\pi\) - C. \(x = a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2\pi\) - **D. \(x = -a\sin t,\ y = -a\cos t,\ 0 \leq t \leq 2\pi\)** b. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) once counterclockwise, starting at \((a,0)\)? - A. \(x = -a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 2\pi\) - B. \(x = a\cos t,\ y = a\sin t,\ 0 \leq t \leq 2\pi\) - **C. \(x = -a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2\pi\)** - D. \(x = a\sin t,\ y = -a\cos t,\ 0 \leq t \leq 2\pi\) c. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) four times clockwise, starting at \((a,0)\)? - A. \(x = a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 8\pi\) - B. \(x = a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2
Transcribed Image Text:Find parametric equations and a parameter interval for the motion of a particle that starts at \((a,0)\) and traces the circle \(x^2 + y^2 = a^2\). a. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) once clockwise, starting at \((a,0)\)? - A. \(x = a\cos t,\ y = a\sin t,\ 0 \leq t \leq 2\pi\) - B. \(x = a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 2\pi\) - C. \(x = a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2\pi\) - **D. \(x = -a\sin t,\ y = -a\cos t,\ 0 \leq t \leq 2\pi\)** b. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) once counterclockwise, starting at \((a,0)\)? - A. \(x = -a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 2\pi\) - B. \(x = a\cos t,\ y = a\sin t,\ 0 \leq t \leq 2\pi\) - **C. \(x = -a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2\pi\)** - D. \(x = a\sin t,\ y = -a\cos t,\ 0 \leq t \leq 2\pi\) c. Which of the following sets of equations could trace the circle \(x^2 + y^2 = a^2\) four times clockwise, starting at \((a,0)\)? - A. \(x = a\cos t,\ y = -a\sin t,\ 0 \leq t \leq 8\pi\) - B. \(x = a\sin t,\ y = a\cos t,\ 0 \leq t \leq 2
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