Find the Length of the Curve $\mathbf { r } ( t ) = \left\langle 2 t ^ { \frac { 3 } { 2 } } , 2 t + 1 , \sqrt { 5 } t \right\rangle 0 \leq t \leq 3$

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = \left\langle 2 t ^ { \frac { 3 } { 2 } } , 2 t + 1 , \sqrt { 5 } t \right\rangle 0 \leq t \leq 3$

A) $3 \sqrt { 21 }$
B) 6
C) 8
D) 10
E) 189
F) 14
G) 16
H) 18