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

Multiple Choice

$$\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$
- $$r ( t ) = \left( 5 t ^ { 2 } - 1 \right) \mathbf { i } + 4 t k , - 1 \leq t \leq 1 ; \delta ( x , y , z ) = 3 \sqrt { 20 x + 36 }$$

A) $( 464,0,0 )$
B) $( 464,2,0 )$
C) $\left( \frac { 58 } { 37 } , 0,0 \right)$
D) $\left( \frac { 58 } { 37 } , 2,0 \right)$