Find the curvature of the given function

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1. Sketch the curve given by the following and indicate orientation using arrow.

r(t) = <  cos t, -3 sin t, 2t>

2. Find r(t) if r3(t) =< t2, e3t, 5> and r(0) =< 0, 4, 2>.

3. Find the curvature of r(t) = < t2, e3t, t3> = 1.

Reference no: EM131006920

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