Question
What is the net outward flux of the rotation field $\mathbf{F}=\langle 2 z+y,-x,-2 x\rangle$ across the surface that encloses any region?
Step 1
The divergence of a vector field $\mathbf{F}=\langle P,Q,R\rangle$ is given by $\nabla \cdot \mathbf{F} = \frac{\partial P}{\partial x} + \frac{\partial Q}{\partial y} + \frac{\partial R}{\partial z}$. Show more…
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