Using Green's Theorem, Compute the Counterclockwise Circulation of F Around $F = - \frac { 1 } { 8 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 4 } } \mathrm { i } ; \mathrm { C }$

question 241

Multiple Choice

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.
- $F = - \frac { 1 } { 8 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 4 } } \mathrm { i } ; \mathrm { C }$ is the region defined by the polar coordinate inequalities $1 \leq \mathrm { r } \leq 3$ and $0 \leq \theta \leq \pi$

• A) 0
• B) \(\frac { 4372 } { 15309 }\)
• C) \(\frac { 4376 } { 15309 }\)
• D) \(- \frac { 4372 } { 15309 }\)

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