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In Exercises 14-17, find (a) the displacement vectors from 18. r(t) = (t, +2) r(a) to r(b), (b) the magnitude of the displacement vector and (c) the distance travelled by a particle on the curve from 19. r(t) = (sin 3t, cos 4t) a to b. 20. r(t) = (t sin t, t cost) 14. r(t) = (t, +2 ), a = 2, b= 3 21. r(t) = (et sint, et cost, et) 15. r(t) = (t sint, tcost) , a = 0, b =* 22. r(t) = (2 sin t, 3 cost, cos 2t) 16. r(t) = (e' sin t, et cost, el) , a = 0, b = 1 23. Find the tangential and normal components of acce tion for a particle moving along the circular helix de 17. r(t) = (a sin Bt, a cos Bt, yt) , a = 0, b = 1 by r(t) = (cost, sint, t). Find the tangential and normal components of acceleration 24. Find the tangential and normal components of acce for the position functions in Exercises 18-22 tion for a particle moving along the conical helix def by r(t) = (t cost, f sin t, t)