HW S Homework: Secti... Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) = 3ti + 2t2j - 2+2k; (0, - 18, 18) .. . . . t= (Use a comma to separate answers as needed.)The vector function r(t) is the position of a particle in space at time t. Determine the graph of the position function. r(t) = (t cos t)i + (3tsin t)j + 3tk Choose the correct graph below. 0 A. O B. O c. 7% X X Question 16, 13.1.37 Homework: Sectl... Pan 1 01:4 The equation r(t) = cos(2t) i + sin(2t) j, t2 0 describes the motion of a particle moving along the unit circle. Answer the following questions about the behavior of the particle. a. Does the particle have constant speed? If so, what is its constant speed? b. Is the particle's acceleration vector always orthogonal to its velocity vector? c. Does the particle move clockwise or counterclockwise around the circle? d. Does the particle begin at the point (1,0)