Consider the following vector function. 12²) r(t) = (st, 1-², (a) Find the unit tangent and unit normal vectors T(t) and N(t). 1 =(8,t,2t) √ 64+8t² V T(t) = N(t) = k(t) = = 1 :(-5t,32,64) 2 X V 320+64t (b) Use this formula to find the curvature. 8√5 64 +5 1² ) ( ³² ) X

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