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Use a parametrization to find the flux

Use a parametrization to find the flux

\(\iint_{S} \mathbf{F} \cdot \mathbf{n} \mathrm{d} \sigma\)

of the field \(\mathbf{F}=\frac{9 x \mathbf{i}+9 y \mathbf{j}+9 z \mathbf{k}}{\sqrt{x^{2}+y^{2}+z^{2}}}\) across the portion of the sphere \(x^{2}+y^{2}+z^{2}=25\) in the first octant in the direction away from the origin.

The flux is _______ 


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