please help with this! Show that (u, v) = (4u + 6, u — v, 7u + v) parametrizes the plane 2x − y — z = 12. Then:(a) Calculate Tỵ, Tv, and n(u, v).(b) Find the area of S = Þ(D), where D = (u, v): 0 ≤ u ≤ 7,0 ≤ v ≤ 5.(c) Express f(x, y, z) == yz in terms of u and v and evaluate ſ¸ ƒ (x, y, z) dS.(a) Tu(b) Area(S) =(c) ſſ¸ ƒ (x, y, z) dS ==, Tv=‚ n(u, v)=-0

Answered: Image /qna-images/answer/98199eb1-15e0-4f02-a6ad-7e1459885015.jpg

Show that (u, v) = (4u + 6, u − v, 7u + v) parametrizes the plane 2x − y − z = 12. Then: (a) Calculate Tu, Tv, and n(u, v). (b) Find the area of S = Þ(D), where D = (u, v) : 0 ≤ u ≤ 7,0 ≤ v ≤ 5. (c) Express f(x, y, z) = yz in terms of u and v and evaluate ſƒ ƒ(x, y, z) dS. (a) Tu = " TV = (b) Area(S) = = (c) ffs f(x, y, z) ds = ‚ n(u, v) = "

Show that (u, v) = (4u + 6, u − v, 7u + v) parametrizes the plane 2x − y − z = 12. Then: (a) Calculate Tu, Tv, and n(u, v). (b) Find the area of S = Þ(D), where D = (u, v) : 0 ≤ u ≤ 7,0 ≤ v ≤ 5. (c) Express f(x, y, z) = yz in terms of u and v and evaluate ſƒ ƒ(x, y, z) dS. (a) Tu = " TV = (b) Area(S) = = (c) ffs f(x, y, z) ds = ‚ n(u, v) = "

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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