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    Charecteristics of a curve

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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)

    © BrainMass Inc. brainmass.com October 9, 2019, 10:51 pm ad1c9bdddf
    https://brainmass.com/math/curves/characteristics-curve-234603

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    The paremetrization curve is:
    ...

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    The 4 pages file contains an exhaustive solution of the problem of curve parametrization.

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