# Vector field's divergence and flux?

Compute the 2 Dimensional divergence of the vector field and use green's theorem, flux form to evaluate the integral
F=<y,-x>
R is a square with the verticies (0,0), (1,0), (1,1), and (0,1).
Divergence test eq.-
F=<f,g>
∂f/∂x + ∂g/∂y
Greens theorem, flux form eq-
F=<f,g>
∮F∙n ds...
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Compute the 2 Dimensional divergence of the vector field and use green's theorem, flux form to evaluate the integral

F=<y,-x>

R is a square with the verticies (0,0), (1,0), (1,1), and (0,1).

Divergence test eq.-

F=<f,g>

∂f/∂x + ∂g/∂y

Greens theorem, flux form eq-

F=<f,g>

∮F∙n ds = ∮f*dy-g*dx = ∬_R( ∂f/∂x+∂g/∂y)dA

F=<y,-x>

R is a square with the verticies (0,0), (1,0), (1,1), and (0,1).

Divergence test eq.-

F=<f,g>

∂f/∂x + ∂g/∂y

Greens theorem, flux form eq-

F=<f,g>

∮F∙n ds = ∮f*dy-g*dx = ∬_R( ∂f/∂x+∂g/∂y)dA

Update:
I don't know understand this concept at all. Please show your work. Thank you.

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