$$\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$

Multiple Choice

$$\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$
- $$r ( t ) = 8 t i + 7 t j + 3 t ^ { 2 } k , 0 \leq t \leq 1 ; \delta ( x , y , z ) = \frac { x } { \sqrt { 113 + 12 z } }$$

A) $\left( \frac { 64 } { 3 } , \frac { 56 } { 3 } , 8 \right)$
B) $( 8,7,3 )$
C) $\left( \frac { 16 } { 3 } , \frac { 14 } { 3 } , \frac { 3 } { 2 } \right)$
D) $( 16,14,6 )$