what is the vector function that models the behavior

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what is the vector function that models the behavior

Calculus1
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last two questions...cant understand
  • phi
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.

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Other answers:

ya but last 2
  • phi
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
ok so whats the answer for d?
  • phi
r=(t- 0.5*sin(2t) ) i + (0.5 - 0.5 cos(2 t)) j
is that d???
  • phi
I think so
ya i gatcyu...so how should i graph that ???
  • phi
I don't know what graphing tools you have.
wolframalpha
i know upto here but how to plot themm
http://www.wolframalpha.com/input/?i=parametric+plot
  • phi
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
thx

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