Question: (1) Consider helix r(t) = 3ti + cos(4t)j + sin(4t)k. Find (a) (4 points) T(t), (b) (4 points) N(t), (c) (4 points) B(t), (d) (4


(1) Consider helix r(t) = 3ti + cos(4t)j + sin(4t)k. Find (a) (4 points) T(t), (b) (4 points) N(t), (c) (4 points) B(t), (d) (4 points) arc length parametrization of the helix, (e) (4 points) aT, (f) (4 points) ON. (g) (4 points) curvature k at t = 4 (h) (4 points) arc length of the curve over the interval [0, 4x]. (2) Consider function y= 3 - x2 + 4. Find (a) (4 points) curvature of the graph at r = 1, (b) (2 points, bonus) point on the graph where curvature is at minimum
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