1. if C is the parameterized path: x=t^2, y=t^3, and 1 ≤ t ≤ 5, what is r(t) in vector form? This is needed, I think, to solve the integral ∫ ydx = xdy.
2. (this one is part of a homework problem, so please only a hint. thanks.)
… if C is one turn of the helix: x=cos(t), y=sin(t), and z=(3t), and 0 ≤ t ≤ 2π