Penrose diagram of hypothetical astrophysical white hole. We use this idea to write a general formula for . $\nabla \times \textbf{F} =0 $b. Define one ; if a a is a closed surface, then the of it. 1 The curl of the vector eld [x 2+ y5;z2;x2 + z] is [ 2z; 2x; 5y4]. S. I know how to compute the flux of vector field: either by Stokes Theorem, or directly. This closed surface is congruent to the boundary of the volume of revolution formed by the graph of $y=2^x + 3^x$ revolved about the x-axis between $x=0$ and $x=1$ the fluxes through the three surfaces are related by $$\phi_1+\phi_2+\phi_3=0$$ rev2022.12.9.43105. Let $F$ from $R^3$ to $R$ defined by $F(x, y, z) = (x yz, xz, y)$. Let F from R 3 to R defined by F ( x, y, z) = ( x y z, x z, y) . \begin{aligned}\nabla \times \textbf{F} \text{ in }\mathbb{R}^2\end{aligned}, \begin{aligned}\nabla \times \textbf{F} \text{ in }\mathbb{R}^3\end{aligned}, \begin{aligned}\textbf{F} &=
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