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Math · Advanced Math
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Please help me this questions, many thanks.​​​​​​

Consider the velocity field v- yi + (x + xy)j: Drag the circle around the plane, and change its radius in the following simulation: https://ggbm.at/bP7Evgpf (a) Use the flux form of Greens theorem to explain why the flux out of any circle centred at the line r0 is zero (b) Use Greens theorem to explain why the circulation (i.e. the work done along a simple closed curve) around any circle centred at the line y 0 is zero (c) Explicitly calculate the circulation around a circle of unit radius centred at x - (d) Is v conservative?

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