Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in the flux form of Green's Theorem and check for consistency. c. State whether the vector field is source free. F= (2xy,x²-y²); R is the region bounded by y=x(6-x) and y=0. a. The two-dimensional divergence is 0. b. Set up the integral over the region. 66x-x2 (0) dy dx Set up the line integral for the y=x(6-x) boundary. dt