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

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Calculus

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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 rangle 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

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