Question: Problem 3. Find TBN vectors for the curve r(t) = (e^2t cos 2t,e^-2t, e^-2t sin 2t) and then compute the curvature and torsion.(Hint: torsin is

Problem 3. Find TBN vectors for the curve r(t) = (e^2t cos 2t,e^-2t, e^-2t sin 2t) and then compute the curvature and torsion.(Hint: torsin is = dB ds N).

Problem 4. Consider the curve r(t) = (cost,sin t, t). Find the coordinate of the center of the osculating circle at t = /4.

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