(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Vector field F = (2siny-cosz, 2cosx+3sinz, cosy-2sinx)

Compute the flux of F through a sphere of radius one centered at the origin with respect to the outer unit normal.

2. Relevant equations

Divergence theorem/Gauss's Law

3. The attempt at a solution

The only way I know how to calculate flux is to look at F and let

2siny-cosz = M

2cosx+3sinz = N

cosy-2sinx = P

then do dM/dx dN/dy dP/dz

then use the divF integral to integrate dM/dx + dN/dy + dP/dz with respect to x,y,z

But I don't understand how else to do it when their derivatives are all 0.

Thanks a lot for any help

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# Homework Help: Flux through a sphere given a vector field

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