The velocity potential = 2(x - y) describes the impinging flow against a flat plate source (a) Prove that the change in pressure in the x direction is linearly proportional to the independent variable x. (Assume gravity in the x direction is negligible) (b) Find the corresponding stream function. (c) The combination of the above flow and a source of strength m at the coordinate's origin describes the impinging flow against a "bump" as shown. Find the value of the maximum height, h of the bump if m-2.