Curve analysis Carry out the following steps for the given curves C.a. Find T(t) at all points of C.b. Find N(t) and the curvature at all points of C.c. Sketch the curve and show T(t) and N(t) at the points of C corresponding to t = 0 and t = π/2.d. Are the results of parts (a) and (b) consistent with the graph?e. Find B(t) at all points of C.f. On the graph of part (c), plot B(t) at the points of C corresponding to t = 0 and t = π/2.g. Describe three calculations that serve to check the accuracy of your results in parts (a)–( f ).h. Compute the torsion at all points of C. Interpret this result. C: r(t) = ⟨3 sin t, 3 cos t, 4t⟩ , for 0 ≤ t ≤ 2π

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