Find the Length of the Space Curve Given Below $\mathbf { r } ( t ) = 2 t \mathbf { i } + 5 \cos t \mathbf { j } + 5 \sin t \mathbf { k } , [ 0,3 ]$

Multiple Choice

Find the length of the space curve given below. $\mathbf { r } ( t ) = 2 t \mathbf { i } + 5 \cos t \mathbf { j } + 5 \sin t \mathbf { k } , [ 0,3 ]$

A) $\sqrt { 29 }$
B) 3
C) $3 \sqrt { 29 }$
D) $6 \sqrt { 29 }$
E) 29