Consider the vector fields Fx = (r,u), Fz = (∇×r), Fz = (y,0), and F4 = (577.74y). Determine whether each vector field is rotational/irrotational and compressible/incompressible. Assuming the vector fields are fluid flows, can you tell whether or not the bubble in each flow is expanded/compressed and whether or not the paddle wheel in each flow is rotated?