An ant climbs up the trunk of a tree following the path modelled by the circular...

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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) 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)