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. 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( , , ) command. Note that you must use x as your variable in the function, not t. If you try the command using the 3D app, you will only get the decimal approximation. If you compute the integral using the CAS app, you will get the| exact

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