Show that (u, v) = (8u + 8, u v, 15u + v) parametrizes the...

 

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Show that (u, v) = (8u + 8, u – v, 15u + v) parametrizes the plane 2x – y - z = 16. Then: (a) Calculate T, , Ty, and n(u, v). (b) Find the area of S = (D), where D = (u, v) : 0 < u < 9,0 <v<9. (c) Express f(x, y, z) = yz in terms of u and v and evaluate s f(x, y, z) dS. (a) Tu = , T, = n(u, v) = (b) Area(S) = (c) fs f(x, y, z) dS = Show that (u, v) = (8u + 8, u – v, 15u + v) parametrizes the plane 2x – y - z = 16. Then: (a) Calculate T, , Ty, and n(u, v). (b) Find the area of S = (D), where D = (u, v) : 0 < u < 9,0 <v<9. (c) Express f(x, y, z) = yz in terms of u and v and evaluate s f(x, y, z) dS. (a) Tu = , T, = n(u, v) = (b) Area(S) = (c) fs f(x, y, z) dS =