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Multivariable CalculusMediumVector Calculus

Vector Calculus · Medium problem

A fluid's velocity is modeled by F=(y, x2)\mathbf F=(y,\,x^2). The fluid's local rotation rate at a point equals half the scalar curl ∂Q∂x−∂P∂y\dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y} there. Find this rotation rate at the point (1,2)(1,2).