Section 13.1: Problem 1 Previous Problem Problem List Next Problem (1 point) The equation r(t) = 2 cos(3t) i + 8 sin(3t) j gives the position of a particle in the xy-plane at time t. Find a function f(x, y) so that the graph of f(x, y) = 1 is the path of the particle. Then find the particle's velocity and acceleration vectors at time t = 7T. Path of the particle is described by 1 = Velocity vector at t = 71 is Acceleration vector at t = 71 isSection 13.1: Problem 2 Previous Problem Problem List Next Problem (1 point) The equation r(t) = (8 + t) i + (t2 - 3) j + (2t) k gives the position of a particle in space at time t. Find the particle's velocity and acceleration vectors at time t. Then find the particle's speed and direction at time t = 4. U( t) = a(t) = Speed at time t = 4 is Direction at time t = 4 is