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

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

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

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