The position vector of a particle moving along a helix is c(t) = (cos(t), sin(t), t)....

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The position vector of a particle moving along a helix is c(t) = (cos(t), sin(t), t²). 1. Find the speed of the particle at time to 2. Find the parametrization of the tangent line to c(t) at to = 4π. 3. Where will the tangent line from to = 47 meet the xy-plane? = 4πT. The position vector of a particle moving along a helix is c(t) = (cos(t), sin(t), t²). 1. Find the speed of the particle at time to 2. Find the parametrization of the tangent line to c(t) at to = 4π. 3. Where will the tangent line from to = 47 meet the xy-plane? = 4πT.