Problem 7 (11 points) The position ofa particle is given by c(t) = [3sin(47rt), 2 cos(4:rrt), mt) l (a) (2 points) What is the particle's position at t = E? (b) (5 points) Draw the particle's path from 0 g t g 1. 1 (c) (4 points) Compute the speed of the path at t = E. Extra credit (5 points) For the path c[t) = (3sin(4?rt),2cos(47rt), art), what is the cosine of the angle between the position vector (30%) and the velocity vector c"(t) as a function of t