MATH 222 Midterm: MATH 222 KSU Test1u11
15 Feb 2019
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To receive credit you must show your work (20 pts) problem 1. An object moving in 3-space according to the parametric equations x = 2t + 1, y = cos(t), z = t2 + 2 where t is the time. Find, as function of t: position vector r , velocity vector v , acceleration vector a , speed v , at , nd the curvature at t = 0, nd the normal component an at t = 0. An object is moving 3-space in such a way that its acceleration vector as a function of time t is. Let: find two unit vectors which are orthogonal to both u and v. u = h1, 2, 1i, v = h1, 0, 1i, find the vector projection of v onto u, projuv = 5 (15 pts) problem 6: find the length of the curve: r(t) = (cid:10)2t, t2, 0 t 1: calculate the following expression esin(x)
