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Find the Work Done by the Force Field F(x,y)=yx2+y2i+xx2+y2j\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j }

question 161

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Find the work done by the force field F(x,y)=yx2+y2i+xx2+y2j\mathbf { F } ( x , y ) = - \frac { y } { x ^ { 2 } + y ^ { 2 } } \mathbf { i } + \frac { x } { x ^ { 2 } + y ^ { 2 } } \mathbf { j } on a particle that moves along the circle C: x=cost,y=sint,0t2πx = \cos t , y = \sin t , 0 \leq t \leq 2 \pi .


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