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## Homework Statement

Suppose [tex] \vec{G} [/tex] is a vector field with the property that [tex] div\vec{G} = 5 [/tex] for [tex] 2 \leq ||\vec{r}|| \leq 14 [/tex] and that the flux of [tex] \vec{G} [/tex] through the sphere of radius 4 centered at the origin is [tex] 20\pi [/tex]. Find the flux of through the sphere of radius 12 centered at the origin.

## Homework Equations

## The Attempt at a Solution

what I tried so far is

[tex] 20\pi \int_0^{2\pi} \int_0^{\pi} \int_0^{12} \rho^2 sin(\phi)d\rho d\phi d\theta [/tex]

is this wrong