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

Multiple Choice

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

A) $\left( \frac { 49 } { 10 } , 1 , - \frac { 19 } { 10 } \right)$
B) $( 441,0 , - 171 )$
C) $\left( \frac { 147 } { 4 } , \frac { 15 } { 2 } , - 171 \right)$
D) $\left( \frac { 49 } { 10 } , 0 , - \frac { 19 } { 10 } \right)$