Using Green's Theorem, Find the Outward Flux of F Across $\mathrm { F } = - \frac { 1 } { 4 \left( \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } \right) ^ { 2 } } \mathrm { i } ; \mathrm { C }$

question 174

Multiple Choice

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

• A) \(\frac { 7 } { 12 }\)
• B) \(\frac { 7 } { 24 }\)
• C) \(- \frac { 7 } { 12 }\)
• D) 0

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