[Solution Library] Determine the sources and sinks of \text Field [x, ȳ, z]=3 z-3 x^2, 3 z+2 y, 4 z If C_1 is the sphere of radius 2 centered at 4,0,0,

Question: Determine the sources and sinks of

\[\text { Field }[x, \bar{y}, z]=\left\{3 z-3 x^{2}, 3 z+2 y, 4 z\right\}\]

If $C_{1}$ is the sphere of radius 2 centered at $\{4,0,0\}$, is the net flow of this vector field across $C_{1}$ from outside to inside, or is it from inside to outside?

If $\mathrm{C}_{2}$ is the sphere of radius 2 centered at $\{-3,0,0\}$, is the net flow of this vector field across $\mathrm{C}_{2}$ from outside to inside, or is it from inside to outside?

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[Solution Library] Determine the sources and sinks of \text Field [x, ȳ, z]=3 z-3 x^2, 3 z+2 y, 4 z If C_1 is the sphere of radius 2 centered at 4,0,0,

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