Multivariable Calculus Quiz
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VECTOR FIELDS
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Consider a 2D vector field F(x,y)=(P(x,y),Q(x,y),0)\mathbf{F}(x,y) = (P(x,y), Q(x,y), 0) where the curl is ∇×F=(0,0,∂Q∂x−∂P∂y)\nabla \times \mathbf{F} = (0, 0, \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}). If this field represents fluid flow and ∂Q∂x−∂P∂y=2ω\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} = 2\omega where ω>0\omega > 0, what does this indicate?
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