Question

what is the vector function that models the behavior

Answer 1

http://assets.openstudy.com/updates/attachments/517d65e4e4b0be6b54ab31bc-best_mathematician-1367172592503-3.png

Answer 2

last two questions...cant understand

Answer 3

Didn't you already do this ?

you have a sin t that you want to rotate faster
to make it rotate twice as fast, use sin(2t) (and cos(2t) ) and keep everything else the same.

Answer 4

ya but last 2

Answer 5

as I remember, in the first part, the hoop has a diameter of 2, and a radius of 1
for the next part, I think you want a hoop with 1/2 the diameter, so its mark hits the floor twice as often. that means its radius will be 1/2 and its diameter 1

Answer 6

ok so whats the answer for d?

Answer 7

r=(t- 0.5*sin(2t) ) i + (0.5 - 0.5 cos(2 t)) j

Answer 8

is that d???

Answer 9

I think so

Answer 10

ya i gatcyu...so how should i graph that ???

Answer 11

I don't know what graphing tools you have.

Answer 12

wolframalpha

Answer 13

i know upto here but how to plot themm

Answer 14

http://www.wolframalpha.com/input/?i=parametric+plot

Answer 15

see
http://www.wolframalpha.com/input/?i=parametric+plot+r%3D+%5B+%28t-+0.5*sin%282t%29+%29++%2C+%280.5+-+0.5+cos%282+t%29%29+%5D+and++r%3D+%5B+t+-+sin%28t%29%2C+1-cos%28t%29%5D+for+t%3D0+to+6pi

for the plot of the position vectors for the two hoops

Answer 16

thx