Find the Work Done by the Force Field $\mathbf { F }$

Multiple Choice

Find the work done by the force field $\mathbf { F }$ on a particle that moves along the curve $C$ . $\mathbf { F } ( x , y ) = ( 5 x + 5 y ) \mathbf { i } + 4 x y \mathbf { j } ; \quad C : \mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + t ^ { 2 } \mathbf { j } , 0 \leq t \leq 1$

A) 17
B) 19
C) 34
D) $\frac { 71 } { 2 }$