Consider the two-dimensional flow field in which \(u=A x^{2}\) and \(v=B x y\), where \(A=1 / 2 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1}, B=-1 \mathrm{ft}^{-1} \cdot \mathrm{s}^{-1}\), and the coordinates are measured in feet. Show that the velocity field represents a possible incompressible flow. Determine the rotation at point \((x, y)=(1,1)\). Evaluate the circulation about the "curve" bounded by \(y=0, x=1, y=1\), and \(x=0\).