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Consider the following vector function r(t)=(3t^2, sin(t)-tcos(t), cos(t)+t sin(t), t>0 (a) find the unit tangent and unit normal vectors T(t) and N(t) (b) use this

Consider the following vector function

r(t)=(3t^2, sin(t)-tcos(t), cos(t)+t sin(t), t>0

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

(b) use this formula to find the curvature

k(t)

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