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... show more 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
Update: I don't know understand this concept at all. Please show your work. Thank you.
1 answer 1