An ant climbs up the trunk of a tree following the path modelled by the circular helix of \[\mathbf{r}(t)=\langle 3 \cos t, 3 \sin t, t angle \] i) Find the length of the trunk helix that has the reference point r(0) = 3i in terms of t . ii) If the ant starts at the point (3,0,0) and climbs up the trunk helix for a distance of 10 units, what is the ant's final position? ii) Find the curvature of the path along the trunk helix at the point (3,0,0)