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Find the Distance Traveled by a Particle Moving on the Curve

Question 8

Multiple Choice

Find the distance traveled by a particle moving on the curve given by r(t) =sin(3t) ,cos(3t) ,t\vec { r } ( t ) = \langle \sin ( 3 t ) , \cos ( 3 t ) , t \rangle as tt goes from t=0t = 0 to t=πt = \pi


A) 3π3 \pi
B) π10\pi \sqrt { 10 }
C) π3\pi \sqrt { 3 }
D) 10π10 \pi

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