Objectives: Students will be able to use maple to: Represent a plane and space curve using approved plot commands. Plot the position, velocity and acceleration to a plane and space curve. Solve problems involving projectile motion in space. Determine the Unit Tangent, Principal Unit Normal and Binormal vectors to a space curve. Address the exercise for each of the given vector-valued functions below. Find t'"(t),#(), and #"(t) for the given value of to. Use the approriate maple application to plot the vectors (6) and F"(to). Position the vectors to the curve such that the initial point of 7(60) is at the origin and the initial point of F"(to) is at the terminal point of 7(6). Determine the relationship between F'(6) and the curve 1. #() =ti + 1*; at ip = 2 2. F(t) = 2 cos(t) i +2 sin(t)j + tk at t =