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

Multiple Choice

$$\text { Find the mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }$$
- $$r ( t ) = \left( \frac { \sqrt { 13 } } { 2 } t ^ { 2 } - 7 \right) i + 6 t j , 0 \leq t \leq 1 ; \delta = 3 t$$

A) $\frac { 381 } { 26 }$ units
B) $\frac { 127 } { 13 }$ units
C) 43 units
D) $\frac { 3 } { 2 }$ units