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Using Green's Theorem, Compute the Counterclockwise Circulation of F Around F=(x+2y)i+(9x6y)j;C\mathrm { F } = ( \mathrm { x } + 2 \mathrm { y } ) \mathbf { i } + ( 9 \mathrm { x } - 6 \mathrm { y } ) \mathbf { j } ; \mathrm { C }

question 146

Multiple Choice

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.
- F=(x+2y) i+(9x6y) j;C\mathrm { F } = ( \mathrm { x } + 2 \mathrm { y } ) \mathbf { i } + ( 9 \mathrm { x } - 6 \mathrm { y } ) \mathbf { j } ; \mathrm { C } is the region bounded above by y=5x2+28\mathrm { y } = - 5 \mathrm { x } ^ { 2 } + 28 and below by y=2x2\mathrm { y } = 2 \mathrm { x } ^ { 2 } in the first quadrant

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