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 = (8xy,x²-4y²); R is the region bounded by y = x(3x) and y = 0. 3 ×(3-x) S S 0 dy dx 0 0 Set up the line integral for the y = x(3x) boundary. 3 dt 0