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Consider the following vector function r(t)=(3t, 1/2 t^2, t^2) (a) find the unit tangent and unit normal vector T(t)= N(t)= (b) use this formula to

Consider the following vector function

r(t)=(3t, 1/2 t^2, t^2)

(a) find the unit tangent and unit normal vector T(t)=

N(t)=

(b) use this formula to find the curvature

K(t)=

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