Using Green's Theorem, Find the Outward Flux of F Across $\mathbf { F } = \sin 10 \mathrm { yi } + \cos 6 \mathrm { x } \mathbf { j } ; \mathrm { C }$

question 21

Multiple Choice

Using Green's Theorem, find the outward flux of F across the closed curve C.
- $\mathbf { F } = \sin 10 \mathrm { yi } + \cos 6 \mathrm { x } \mathbf { j } ; \mathrm { C }$ is the rectangle with vertices at $( 0,0 ) , \left( \frac { \pi } { 10 } , 0 \right) , \left( \frac { \pi } { 10 } , \frac { \pi } { 6 } \right)$ , and $\left( 0 , \frac { \pi } { 6 } \right)$

• A) \(\frac { 1 } { 5 } \pi\)
• B) 0
• C) \(- \frac { 2 } { 5 } \pi\)
• D) \(- \frac { 1 } { 5 } \pi\)

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