For a certain 2-d potential flow the velocity potential is ф(x, y) = cx/(x^2+y^2)

(a) determine the cartesian velocity components, u(x, y) and v(x, y), from the velocity potential.(b) determine the stream function, ψ (x, y), from the velocity components. (hint: integrate the equations defining u and v in terms of ψ ) rewrite the velocity potential in terms of polar coordinates to get (r,) determine the velocity components in polar coordinates, u_r(r, theta) and u_theta(r, theta), from the velocity potential.(e) determine the stream function, ψ (r, theta), from the velocity components. check your answer by rewriting ψ (x, y) from part (b) in terms of polar coordinates.