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An ant climbs up the trunk of a tree following the path modelled by the circular helix of r(t) = (3cosa', 35in t, t) i)
An ant climbs up the trunk of a tree following the path modelled by the circular helix of r(t) = (3cosa', 35in t, t) i) Find the length of the trunk helix that has the reference point 110) = 3i in terms of t. ii) If the ant starts at the point (3, 0,0) and climbs up the tnmk helix for a distance of 10 units, what is the ant's nal position? ii) Find the curvature of the path along the trunk helix at the point (3,0,0). (15 Marks)
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