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The motion of a particle is defined by the equations x = 10t –
5 sin t and y = 10 – 5 cos t, where x and y are expressed in feet
and t is expressed in seconds. Sketch the path of the particle for
the time interval 0 sts 2p, and determine (a) the magnitudes of
the smallest and largest velocities reached by the particle, (b) the
corresponding times, positions, and directions of the velocities.

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