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

question 9

Multiple Choice

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

• A) -720
• B) 880
• C) 720
• D) 560

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