Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (x^{2}+y^{2}+z^{2}=1, x, y, z
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Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.
\(x^{2}+y^{2}+z^{2}=1, x, y, z \geq 0 ; \quad f(x, y, z)=x^{2}\)
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