4) Consider the following velocity vector of a fluid: = U,(x² - y² + x)i-Uo(2xy + y)j, where i and j are the unit vector in x and y direction and Uo = 2m/s. Calculate the average velocity and volumetric flow rate through the plane at x = 5 and extending from y = 0 to y = 5 and width 3 in the z-direction.

Fig: 1