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The total curvature of the portion of a smooth curve that runs from sequalss 0 to s 1 greater than s 0 can be found by integrating kappa from s 0 to s1. If the curve has some other​ parameter, say​ t, then the total curvature is Upper K equals Integral from s 0 to s 1 kappa ds equals Integral from t 0 to t 1 kappa StartFraction ds Over dt EndFraction dt equals Integral from t 0 to t 1 kappa StartAbsoluteValue Bold v EndAbsoluteValue dt ​, where t0 and t1 correspond to s 0 and s1. a. Find the total curvature of the portion of the helix Bold r (t )equals (3 Bold font size decreased by 1 cos font size decreased by 1 t )Bold i plus (3 Bold font size decreased by 1 sin font size decreased by 1 t )Bold j plus t Bold k​, 0 less than or equals t less than or equals 4 pi . b. Find the total curvature of the parabola yequals4 x squared​, minusinfinityless thanxless thaninfinity.

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Answer:

000

Explanation:

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