An incompressible fluid flows in a two-dimensional space. It has the following velocity component. [v_{x}=x^{2} y+2 x

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An incompressible fluid flows in a two-dimensional space. It has the following velocity component.

\[v_{x}=x^{2} y+2 x y\]

a. Determine an expression for \(v_{y}\).

b. Is the flow irrotational?

c. What would be required for the flow to be irrotational?

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