. A particle traveling in a straight line is located at (1, 1,2) and has speed 2 at time t = 0. The particle moves forward to the point (3,0,3) with constant acceleration 2i +j + It. Find the position vector r(t) at time t. . Find the point on the curve r(t) = (12 sin t) i (12 cos I) j + (5t) it: at a distance 131: units along the curve from (0, 12,0) in the direction opposite of the direction of increasing arc length. . Determine the maximum curvature for the graph of the function. {seepage 777m yourtext) x f(x) = for x > 1 x-i-l . Without finding T and N, write a = of? + aNN at t = 0 for: r(t)=(2+t)i+(t+2t2)j+(1+t2)k . Use technology {Maple} to Find T, N, B, K, and 1' then evaluate each at the given value of t. Export your work in Maple as a PDF. r(t)= (etsin2t)i+(etc052t)j+(295k, at t: 0