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Surface integrals of vector fields Find the
Chapter 11, Problem 47E(choose chapter or problem)
Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.
\(\mathbf{F}=\mathbf{r} /|\mathbf{r}|^{3}\) across the sphere of radius a centered at the origin, where \(\mathbf{r}=\langle x, y, z)\); normal vectors point outward.
Questions & Answers
QUESTION:
Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.
\(\mathbf{F}=\mathbf{r} /|\mathbf{r}|^{3}\) across the sphere of radius a centered at the origin, where \(\mathbf{r}=\langle x, y, z)\); normal vectors point outward.
ANSWER:Solution 47E
Step 1
