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6. (8 pts) Consider the incompressible, irrotational, two-dimensional flow, where the stream function is given by \psi=4 z y (a)Determine the velocity field. (b) Prove that this flow is both

physically possible and irrotational. (d) Find the velocity potential for this flow and graph the lines of constant potential on the same graph as the streamlines. Make sure the lines are clearly distinguished using a distinguisher such as line style or color. (e) (bonus 2 points) Use the quiver function in MATLAB and plot the velocity vectors

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