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For the first few problems in this set, let *-0 -0 - -) -- F₁ = F₂ F3 y² F₁ = F5 = 22 1. Let S denote the unit sphere cos u sin v sin u sin v COS U T(u, v) = and compute (a) fs F₁ ds (b) ff F2 ds . (c) ff F3 d5 (d) ffs F4 d5 (e) ffs F5-ds 3 (a) ff F₁ d5 . (b) ff F2 ds (c) ff F3 d5 . (d) ffs F₁-dS (e) fs F5-dS . 0 < u < 2π, 050 Σπ Y -X 0 2. Let S denote the square with corners (1, 1, 1), (-1, 1, 1), (1,-1, 1), and (-1,-1, 1), oriented so that the top of S points in the direction of the positive Z-axis, and compute

For the first few problems in this set, let *-0 -0 - -) -- F₁ = F₂ F3 y² F₁ = F5 = 22 1. Let S denote the unit sphere cos u sin v sin u sin v COS U T(u, v) = and compute (a) fs F₁ ds (b) ff F2 ds . (c) ff F3 d5 (d) ffs F4 d5 (e) ffs F5-ds 3 (a) ff F₁ d5 . (b) ff F2 ds (c) ff F3 d5 . (d) ffs F₁-dS (e) fs F5-dS . 0 < u < 2π, 050 Σπ Y -X 0 2. Let S denote the square with corners (1, 1, 1), (-1, 1, 1), (1,-1, 1), and (-1,-1, 1), oriented so that the top of S points in the direction of the positive Z-axis, and compute

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the first few problems in this set, let F₁ -- () -- () -- () * - () = F3 = F4 2 1. Let S denote the unit sphere cos u sin v sin u sin v COS U Ť(u, v) = and compute (a) JJ F₁ d5 S 1 (b) ff F₂-d5 S (c) JJ, F3-dS S (d) fs F₁-d5 (e) F5-dS (a) SS F₁· ds (b) ff F₂-dS (c) ff F3-dS S 2. Let S denote the square with corners (1, 1, 1), (−1, 1, 1), (1, −1, 1), and (-1,-1, 1), oriented so that the top of S points in the direction of the positive Z-axis, and compute (d) ffs F₁-dS S 9 (e) JJ, Fs-ds S 5 *- (-:-) F5 = 0≤u≤ 2π, 0≤ v≤ T
Transcribed Image Text:For the first few problems in this set, let F₁ -- () -- () -- () * - () = F3 = F4 2 1. Let S denote the unit sphere cos u sin v sin u sin v COS U Ť(u, v) = and compute (a) JJ F₁ d5 S 1 (b) ff F₂-d5 S (c) JJ, F3-dS S (d) fs F₁-d5 (e) F5-dS (a) SS F₁· ds (b) ff F₂-dS (c) ff F3-dS S 2. Let S denote the square with corners (1, 1, 1), (−1, 1, 1), (1, −1, 1), and (-1,-1, 1), oriented so that the top of S points in the direction of the positive Z-axis, and compute (d) ffs F₁-dS S 9 (e) JJ, Fs-ds S 5 *- (-:-) F5 = 0≤u≤ 2π, 0≤ v≤ T
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