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I In Exercises 112, for each limit, indicate whether l'Hopital's rule applies. You do not have to evaluate the limits. 2. lim e - 6.
I In Exercises 112, for each limit, indicate whether l'Hopital's rule applies. You do not have to evaluate the limits. 2. lim e - 6. lim T- Sin cIn Exercises 13-38, find the limit. Use l'Hopital's rule if it applies.x-+ 3x - 4 14. lim T - In Problems 54-59, describe the form of the limit (0/0, oo/oo, co . 0, co-oo, 10, 0', co, or none of these). Does l'Hopital's rule apply? If so, explain how. ac 54. lim I In Problems 7476, explain why l'Hopital's rule cannot be used to calculate the limit. Then evaluate the limit if it exists. 74. hmM 3%1 CB For Exercises 1-4, use the graphs of fand g to describe the motion of a particle whose position at time t is given by x = f(t), y = g(t).X 2 f (t) 2 g (t) 1 2 3 4 1 2 3 4 2. 8. A circle of radius 2 centered at the origin traced clockwise starting from (2,0) when t = 0. Exercises 12-17 give parameterizations of the unit circle or a part of it. Describe in words how the circle is traced out, including when and where the particle is moving clockwise and when and where the particle is moving counterclockwise. 12. x = sint, y = cos tIn Exercises 21-26, the parametric equations describe the motion of a particle. Find an equation of the curve along which the particle moves. For Exercises 31-34, find the speed for the given motion of a particle. Find any times when the particle comes to a stop.34. x =12 At, y = to - 12t50. For x and y in meters, the motion of a particle is given by x =t' - 3t, y =t2 - 2t, where the y-axis is vertical and the x-axis is horizontal. a. Does the particle ever come to a stop? If so, when and where? b. Is the particle ever moving straight up or down? If so, when and where? c. Is the particle ever moving straight horizontally right or left? If so, when and where
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