Compute the flux ( oint mathbf F cdot mathbf n d ) s of ( mathbf F ) across the curve (C ) for the given vector field and curve using the vector form of Green 's Theorem ( mathbf F (x, y) langle 3 x, 2 yangle ) across the circle given by (x 2 y 2 9 ) THEOREM 1 Green's Theorem Let D be a domain whos...

Let mathcalD be the circle x2y29 together with its interior The divergence ...

Compute the flux (oint mathbf{F} cdot mathbf{n} d) s of (mathbf{F}) across the curve (C) for the

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Compute the flux $\oint \mathbf{F} \cdot \mathbf{n} d$ s of $\mathbf{F}$ across the curve $C$ for the given vector field and curve using the vector form of Green's Theorem.

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$\mathbf{F}(x, y)=\langle 3 x, 2 yangle$ across the circle given by $x^{2}+y^{2}=9$

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Calculus

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Compute the flux (oint mathbf{F} cdot mathbf{n} d) s of (mathbf{F}) across the curve (C) for the

Question:

THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, oriented counterclockwise. If F and F2 have continuous partial deriva- tives in an open region containing D, then F aF = - SS (F-F) dA y & Fi dx + F2 dy: 2

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Let mathcalD be the circle x2y29 together with its interior The divergence ...View the full answer

Calculus

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