Consider the space curve F(t) = <(1/3)t3, t2, 2t>
a.) Find the unit tangent vector T(t) at the instant t = 1
b.) Find the vectors F→(t) and F→(t) at the instant t = 1. What is the curvature at t = 1?
c.) Find the unit binormal vector B(t) at the instant t = 1
d.) Find the unit normal vector N(t) at the instant t = 1