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Question 8: Consider the parametrized curve c(t) (cost, 2 sin t). What path does this trace out in the plane? Is it periodic (i.e.,

Question 8: Consider the parametrized curve c(t) (cost, 2 sin t). What path does this trace out in the plane? Is it periodic (i.e., does it repeat where it is), and if so, what is the period? Does a particle whose position is given by c(t) move at constant speed? If not, when is it moving fastest? =

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