Consider the following position functions r and R for two objects. a. Find the interval [cd] over which the R trajectory is the same as the r trajectory over [a,b). b. Find the velocity of both objects. c. Graph the speed of the two objects over the intervals [a,b] and [c,d], respectively. r(t) = (cos t,3 sin t), [a,b] = [0,21] R(t) = (cos 4t,3 sin 4t) on [c,d] a. The interval is (Simplify your answers. Type exact answers, using a as needed.)

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