Question

Consider the following vector function. r(t) = 6t2, sin(t) − t cos(t), cos(t) + t sin(t)...

Consider the following vector function.

r(t) =

6t2, sin(t) − t cos(t), cos(t) + t sin(t)

,    t > 0

(a) Find the unit tangent and unit normal vectors T(t) and N(t).

T(t) =
N(t) =



(b) Use this formula to find the curvature.
κ(t) =

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