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Using Green's Theorem, Find the Outward Flux of F Across

question 9

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Using Green's Theorem, find the outward flux of F across the closed curve C.
- F=(x2+y2) i+(xy) j;C is the rectangle with vertices at (0,0) ,(8,0) ,(8,10) , and (0,8) \mathbf { F } = \left( \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } \right) \mathbf { i } + ( \mathrm { x } - \mathrm { y } ) \mathbf { j } ; C \text { is the rectangle with vertices at } ( 0,0 ) , ( 8,0 ) , ( 8,10 ) , \text { and } ( 0,8 )


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