r(t)=<2t,t2,31​t3> (a) Find the derivative r′(t). (b) Find the unit tangent vector T(t) and the unit normal vector N(t)

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R T 2t T2 31 T3 A Find The Derivative R T B Find The Unit Tangent Vector T T And The Unit Normal Vector N T 1 (27.73 KiB) Viewed 31 times

r(t)=<2t,t2,31​t3> (a) Find the derivative r′(t). (b) Find the unit tangent vector T(t) and the unit normal vector N(t) at the point (2,1,1/3) where t=1. (c) Find the curvature κ of the given curve at the point (2,1,1/3).