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Use Green's Theorem to Find the Work Done by the Force

question 101

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Use Green's Theorem to find the work done by the force
F(x,y) =(6x7y2) i+3yj\mathbf { F } ( x , y ) = \left( 6 x - 7 y ^ { 2 } \right) \mathbf { i } + 3 y \mathbf { j }
in moving a particle in the positive direction once around the triangle with vertices (0,0) ,(1,0) ( 0,0 ) , ( 1,0 ) , and (0,1) ( 0,1 ) .

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