Suppose r (t) = cos ti + sin tj + 2tk represents theposition of a particle on a helix
Chapter 17, Problem 41(choose chapter or problem)
Suppose r (t) = cos ti + sin tj + 2tk represents theposition of a particle on a helix, where z is the height ofthe particle above the ground.(a) Is the particle ever moving downward? When?(b) When does the particle reach a point 10 units abovethe ground?(c) What is the velocity of the particle when it is 10 unitsabove the ground?(d) When it is 10 units above the ground, the particleleaves the helix and moves along the tangent. Findparametric equations for this tangent line.
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