Using Green's Theorem, Compute the Counterclockwise Circulation of F Around

question 209

Multiple Choice

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.
- $$\mathbf { F } = \left( x ^ { 2 } + y ^ { 2 } \right) \mathbf { i } + ( x - y ) \mathbf { j } ; C \text { is the rectangle with vertices at } ( 0,0 ) , ( 8,0 ) , ( 8,5 ) , \text { and } ( 0,5 )$$

• A) 0
• B) 160
• C) -160
• D) 240

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