(5 points) Assume time t runs from zero to 2 and that the unit circle has been l
ID: 2895630 • Letter: #
Question
(5 points) Assume time t runs from zero to 2 and that the unit circle has been labled as a clock. Match each of the pairs of parametric equations with the best description of the curve from the following list. Enter the appropriate letter (A, B, C, D, E, F) in each blank. A. Starts at 12 o'clock and moves clockwise one time around. B. Starts at 6 o'clock and moves clockwise one time around. C. Starts at 3 o'clock and moves clockwise one time around. D. Starts at 9 o'clock and moves counterclockwise one time around. E. Starts at 3 o'clock and moves counterclockwise two times around. F Starts at 3 o'clock and moves counterclockwise to 9 o'clock. 1.x-cos(t); y- - sin(t) 2.x= cos(2t); y = sin(2) 3.x=-cos(t); y=-sin() 4. x =-sin(t); y =-cos(t) 5, x = sin(); y= cos(t) :::Explanation / Answer
assume clock is a circle. center of circle is at cernter of clock.
A 12o'clock and moves clockwise. means at t = 0, x =0 and y = 1 and moving in clockwise
ans:5
B) 6o'clock so at t = 0, x = 0 and y = -1
Ans: 4
C) 3 o'clock, so at t = 0, x = 1 and y = 0, and moving clock wise
ans:1
D) 9o'clock, at t=0 , x = -1 and y =0 , and in counter clock wise
Ans:3
E) 3 o'clock , at t=0, x = 1. y = 0, and two times around
Ans:2
F) start 3 o'clock and moves 9'oclock
3
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