Find the Arc Length of the Curve Defined By $\vec { r } ( t ) = \langle 1 + \cos ( 3 t ) , 1 + \sin ( 3 t ) , 5 \rangle$

Multiple Choice

Find the arc length of the curve defined by $\vec { r } ( t ) = \langle 1 + \cos ( 3 t ) , 1 + \sin ( 3 t ) , 5 \rangle$ over $[ 4,7 ]$

A) 4
B) 7
C) 9
D) 11