Let \(\mathcal{S}=\Phi(\mathcal{D})\), where \(\mathcal{D}=\left\{(u, v): u^{2}+v^{2} \leq 1, u \geq 0, v \geq 0ight\}\) and \(\Phi\) is as defined in Exercise 3.

Data From Exercise 3

Show that \(\Phi(u, v)=(2 u+1, u-v, 3 u+v)\) parametrizes the plane \(2 x-y-z=2\).