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

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

A) $\frac { 28 } { 3 }$
B) $\frac { 107 } { 6 }$
C) $\frac { 52 } { 3 }$
D) $\frac { 26 } { 3 }$

Correct Answer:

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