Question: 5. Consider a single loop of the helix given by r(t) = (5 cost, 5 sint , t) for 0 s t s 2n. a)

5. Consider a single loop of the helix given by r(t) = (5 cost, 5 sint , t) for 0 s t s 2n. a) Determine the unit Tangent, unit Normal, and unit Binormal vectors of r at the point t = =. (12 pts) b) Graph the curve r along with T, N and Batt = = using GeoGebra. (5 pts) c) Compute the length of the curve r over the interval [0, 2x] by hand. (6 pts) Then check your answer using GeoGebra. (2 pts) GeoGebra instructions: To compute an integral, use the Integral(
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