Find the Arc Length of the Curve Defined By $\vec { r } ( t ) = \langle 3 + 4 \cos ( 2 t ) , 4 + 2 \sin ( 4 t ) \rangle$

Multiple Choice

Find the arc length of the curve defined by $\vec { r } ( t ) = \langle 3 + 4 \cos ( 2 t ) , 4 + 2 \sin ( 4 t ) \rangle$ over $[ 2,4 ]$

A) 4
B) 8
C) 16
D) 32