The position vector for a particle moving on a helix is c(t) = (3 cos(t), 2 sin(t), t²). (a) Find the speed of the particle at time to = 4. (b) Is c'(t) ever orthogonal to c(t)? O Yes, when t is a multiple of T. O Yes, when t = 0. O No (c) Find a parametrization for the tangent line to c(t) at to = 47. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (d) Where will this line intersect the xy-plane? =([ (x, y, z) =

Q: x(t) = 3 cos t y(t) = 8 sin t 0<t< 2n a) What does the curve described by these parametric equations…

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Q: The position vector for a particle moving on a helix is c(t) = (3 cos(t), 2 sin(t), t²). (a) Find…

A: The position vector for particle moving on helix is ct=3cost, 2sint, t2. To find the speed of the…

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Q: x(t) y(t) = 3 sin t 8 cos t 0<t< 2n a) What does the curve described by these parametric equations…

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Q: The position vector of a particle moving along a helix is = = 4TT. c(t) = (cos(t), sin(t), t²). (a)…

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