Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j + t³k (a) r(t) i + 5j + 2/k (b) [2r(t) - u(t)] dt -2i+ (10-2)j + (41–31²) K d dt (c) [(5t)u(t)] 40ti + 15/²j+201³k (d) [r(t)u(t)] (f) dt (e) [r(t) = u(t)] X dt 16/³1-(4/³ - 12/²) + (3/² - 401) k X dr(3t) dt X

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