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Consider the vector function given below. r(t) = 2t, 3 cos(t), 3 sin(t) (a) Find the unit tangent...

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Question

Basic Math

Consider the vector function given below.
r(t) =

2t, 3 cos(t), 3 sin(t)

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

N(t)   =   


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

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