1. Find the curvature of the given equation of a shape: a) For the curve given by...
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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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