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Consider a particle following the parametric equations

 

x = cos(4t)

y = sin(6t)

 

as well as points P, Q, R, and S:

(Graph link here: https://latex.artofproblemsolving.com/6/b/f/6bf08835e22eb958cee4e9cd04b753f792f0b2b9.png)

 

In the time interval -pi/4 and pi/4, our particle visits point P at time p, point Q and times q1 and q2 where q1 < q2, visits point R at time r, and visits point S at time s. Answer in the following order:

 

p, q1, q2, r, s

 

Thanks in advance for the help!

 

Edit: If you're working on it please reply bc this is due today and i REALLY need help asap. ty :)

 Feb 10, 2021
edited by Guest  Feb 10, 2021
edited by Guest  Feb 10, 2021
 #1
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The answer is -pi/2, pi/2, pi/3, 0, pi/6.

 Feb 10, 2021

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