You know when a definition is given in terms of z=f(x,y) like the surface integral(adsbygoogle = window.adsbygoogle || []).push({});

and its assmed to apply to y=f(x,z)and x=f(y,z) too ...

Why is this?

I know theyre just variables ...but since x y and z mean something specifically wrt the

coordinate system

Would it be trivial to say By Symmetry, x=f(y,z) and y=f(x,z) applies too ?

which way is better to think about it?

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# SURFACE INTEGRALS appying to z=f(x,y) x=f(y,z) and y=f(x,z)

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