Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (z=4-x^{2}-y^{2}, quad 0 leq
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Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.
\(z=4-x^{2}-y^{2}, \quad 0 \leq z \leq 3 ; \quad f(x, y, z)=x^{2} /(4-z)\)
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Since z4x2y2 we have 4zx2y2 so that fx y zfracx24zfracx2x2y2 Now convert to ...View the full answer
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