1.) Find the unit tangent vector to the curve at the following points:

r(t) = <3*cos(t), 2*sin(t)>, t = 0, t = -Pi/2, t = Pi/2

2.) Sketch this curve (the one above) with the addition of the following vectors: r(0), T(0), r(Pi/2), and T(Pi/2)

Note: in the above r and T are both vectors.