This assignment covers sections 13.3 and 13.4. Let r(t) = ⟨t, t^2, e^t⟩. Find the unit tangent vector, T(t), for r. Find the curvature, κ(t), of r. Find the curvature of r(t) at t = 0. Find the position vector of a particle that has acceleration a(t) = ti + e^tj + e^(-t)k, where v(0) = k and r(0) = j + k.