If (mathbf{v}) is the velocity field of a fluid, the flux of (mathbf{v}) across (C) is equal
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If \(\mathbf{v}\) is the velocity field of a fluid, the flux of \(\mathbf{v}\) across \(C\) is equal to the flow rate (amount of fluid flowing across \(C\) in square meters per second). Find the flow rate across the circle of radius 2 centered at the origin if \(\operatorname{div}(\mathbf{v})=x^{2}\).
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