Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) = (5 cost,5 sint,3t) Choose the correct answer for the unit tangent vector of r(t). 517 5/7 V21 O A. T(t) = sin t, cost, 14 14 14 |5/7 O B. T(t) = 5/7 V21 sin t, cost, 14 14 14 5/7 cos t, 14 5/7 21 O C. T(t) = sin t, - 14 14 V21 /5/7 5/7 cost. 14 O D. T(t)= sin t, 14. 14

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