Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8.Then: (a) Calculate Tu , Tv, and n(u,v).(b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6.(c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________
