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Let a,b and w be positive constants.
Let g(t) = (a cos (wt) , a sin(wt) , bt) t>0
Find explicitly the arc length parametrization h(s) of the curve
Find the unit tangent and principle normal vectors at an arbitrary point h(s)
Find the curvature k(s)
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The paremetrization curve is:
The 4 pages file contains an exhaustive solution of the problem of curve parametrization.