7. (1 point)
Show that \(\Phi(u, v) = (7u+4, u-v, 13u+v)\) parametrizes the
plane \(2x - y - z = 8\). Then:
(a) Calculate \(T_u\), \(T_v\), and \(n(u, v)\).
(b) Find the area of \(S = \Phi(D)\), where \(D = \{(u, v) : 0 \le u \le 7, 0 \le v \le 7\}\).
(c) Express \(f(x, y, z) = yz\) in terms of \(u\) and \(v\) and evaluate
\(\iint_S f(x, y, z) \,dS\).