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

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