Let \(\mathcal{S}\) be a small patch of surface with a parametrization \(\Phi(u, v)\) for \(0 \leq u \leq 0.1,0 \leq v \leq 0.1\) such that the normal vector \(\mathbf{N}(u, v)\) for \((u, v)=(0,0)\) is \(\mathbf{N}=\langle 2,-2,4angle\). Use Eq. (3) in Section 16.4 to estimate the surface area of \(\mathcal{S}\).