Calculate the Circulation of the Field F Around the Closed $\mathbf { F } = x ^ { 2 } y ^ { 3 } \mathbf { i } + x ^ { 2 } y ^ { 3 } \mathbf { j } ;$

question 260

Multiple Choice

Calculate the circulation of the field F around the closed curve C.
- $\mathbf { F } = x ^ { 2 } y ^ { 3 } \mathbf { i } + x ^ { 2 } y ^ { 3 } \mathbf { j } ;$ curve $C$ is the counterclockwise path around the rectangle with vertices at $( 0,0 ) , ( 4,0 ) , ( 4,2 )$ , and $( 0,2 )$

• A) \(\frac { 704 } { 3 }\)
• B) 0
• C) \(- \frac { 320 } { 3 }\)
• D) \(- 256\)

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