Show that R(u, v) = (5u + 2, u – v, 9u + v) parametrizes the plane 2x -y-z = 4. Then: (a) Calculate eu, e, and Ñ(u, v). (b) Find the area of S = R(D), where D = (u, v): 0 ≤u ≤ 7,0 ≤ v ≤ 5. (c) Express f(x, y, z) = yz in terms of u and u and evaluate [[ f(x, y, z) dS. v (a) eu = , ev ‚ Ñ(u, v) = = (b) Area(S) = (c) [[¸ ƒ(x, y, z) ds =

Show that R(u, v) = (5u + 2, u – v, 9u + v) parametrizes the plane 2x -y-z = 4. Then: (a) Calculate eu, e, and Ñ(u, v). (b) Find the area of S = R(D), where D = (u, v): 0 ≤u ≤ 7,0 ≤ v ≤ 5. (c) Express f(x, y, z) = yz in terms of u and u and evaluate [[ f(x, y, z) dS. v (a) eu = , ev ‚ Ñ(u, v) = = (b) Area(S) = (c) [[¸ ƒ(x, y, z) ds =

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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