Find the work done by the force field F on a particle that moves along the curve C. $\mathbf { F } ( x , y ) = ( 5 x + 5 y ) \mathbf { i } + 4 x y \mathbf { j }$ ; $C : \mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + t ^ { 2 } \mathbf { j }$ , $0 \leq t \leq 1$
A) $17$
B) $19$
C) $34$
D) $\frac { 71 } { 2 }$

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The Answer of Find the work done by the force field F on a particle that moves along the curve C. $\mathbf { F } ( x , y ) = ( 5 x + 5 y ) \mathbf { i } + 4 x y \mathbf { j }$ ; $C : \mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + t ^ { 2 } \mathbf { j }$ , $0 \leq t \leq 1$
A) $17$
B) $19$
C) $34$
D) $\frac { 71 } { 2 }$

Find the Work Done by the Force Field F on a Particle