Two insects travel in space along trajectories given by the vector functions: mosquito: r1'(t) = (3 3t, 4t 8, 25 12t) buttery: rZTt) = ( 3 cos (2 t), 35in (E t) , it) (a) Make a table of values and sketch each path for: 0 5 I g 4 . Describe each curve in words. (b) Determine the time at which the insects collide; use tangent vectors to determine the speeds of the insects when they collide, and the angle of collision