1. Find the curvature of the given equation of a

1. Find the curvature of the given equation of a shape:

a) For the curve given by r(t)=⟨2t,−3t,1+3t2⟩, Find the curvature at t=1.

b) For the curve given by r(t)=⟨−1t,(e^3t),(e^−3t)⟩, Find the curvature at t=0.

c) For the helix given by r(t)=(cos(−3t),sin(−3t),−3t). At t=pi/6, find unit tangent vector, unit normal vector, unit binomial vector, and curvature.


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