CBS Let \(\mathcal{S}\) be the surface \(z=\ln \left(5-x^{2}-y^{2}ight)\) for \(0 \leq x \leq 1,0 \leq y \leq 1\). Using a computer algebra system:
(a) calculate the surface area of \(\mathcal{S}\) to four decimal places.
(b) calculate \(\iint_{\mathcal{S}} x^{2} y^{3} d S\) to four decimal places.