Let F (x, y, z) = y²x i + j + (z - 1)² k be a vector field and S the surface with equation z= e' + 1 described in the following figure: Taking n = (0, 1-,), then the unit normal vector that determines the orientation of S N is N= - || n || The double integral that allows us to In 5 calculate the flow integral S SF-N dS is:

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
In(z – 1) – z +1
dz dr
V1+ (1 – 2)–2
A)
B)
I| ( In(z – 1) – z + 1) dz dr
(z - In(z – 1) –- 1) dz dx
12
D)
( In(z – 1) – z + 1) dz dr
0.
Transcribed Image Text:In(z – 1) – z +1 dz dr V1+ (1 – 2)–2 A) B) I| ( In(z – 1) – z + 1) dz dr (z - In(z – 1) –- 1) dz dx 12 D) ( In(z – 1) – z + 1) dz dr 0.
Let F (x, y, z) = y°x i + j + (z - 1) k be a
vector field and S the surface with equation
|z = e +1
z = e' + 1 described in the following figure:
(0,1).
Taking
then the unit normal
vector that determines the orientation of S
N
is N =
Il n ||
The double integral that allows us to
In 5
calculate the flow integral f SF-N dS is:
Transcribed Image Text:Let F (x, y, z) = y°x i + j + (z - 1) k be a vector field and S the surface with equation |z = e +1 z = e' + 1 described in the following figure: (0,1). Taking then the unit normal vector that determines the orientation of S N is N = Il n || The double integral that allows us to In 5 calculate the flow integral f SF-N dS is:
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