6. Consider a velocity field where the 𝑥 and 𝑦 components of velocity are, respectively, given by 𝑢 = 𝑎𝑥 [𝑥!+ 𝑦!]⁄ and 𝑣

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6. Consider a velocity field where the 𝑥 and 𝑦 components ofvelocity are, respectively,given by 𝑢 = 𝑎𝑥 [𝑥!+ 𝑦!]⁄ and 𝑣 = 𝑎𝑦 [𝑥!+ 𝑦!]⁄ , where 𝑎 is aconstant. Obtain theequations of the streamlines. (5 points)7. The velocity field given in problem 6 is called source flow. Forthis flow, calculate thetime rate of change of the volume of a fluid element per unitvolume and the rate bywhich the fluid elements rotate around their axis (i.e., angularvelocity of fluidelements). (5 points)