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The position of a particle is given by the parametric equations

x = 3 + 2 sin 2t - cos t

y = 4 + cos 4c + sin 3t

as t ranges over all real numbers.

 

What is the speed of this particle at t = 0, and in what direction is it moving?  Put the answers in that order, and answer CW for clockwise or CCW for counterclockwise.

 
 Mar 21, 2023

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