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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
If you could work number 2 I w
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2Fd18f434b-3d28-45d0-9ec1-220ee757e8d0%2Fbmvb4fy_processed.jpeg&w=3840&q=75)
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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