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Suppose (t) = (6+2 cos(4t), 12 - 2 sin(4t), 4t). a. Find the unit tangent vector, T. (6 pts) b. Find the curvature, K.

Suppose (t) = (6+2 cos(4t), 12 - 2 sin(4t), 4t). a. Find the unit tangent vector, T. (6 pts) b. Find the curvature, K. (6 pts) c. Find the principal unit normal vector, N. (6 pts) d. Show that T and N are orthogonal. (4 pts)

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