The use of a CAS may greatly facilitate the investigation of more complicated paths, as they occur

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The use of a CAS may greatly facilitate the investigation of more complicated paths, as they occur in gear transmissions and other constructions. To grasp the idea, using a CAS, graph the path and find velocity, speed, and tangential and normal acceleration.

r(t) = [cos t + cos 2t, sin t - sin 2t]


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