Consider the following vector function. r(t) = (7t2, sin(t)- t cos(t), cos(t) + t sin(t)), t 0 (a) Find the unit tangent and

Question

Consider the following vector function.
r(t) = (7t2, 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.
k(t) =

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