6) Let F(x, y, z) = 2ri+xyj+r²zk be a vector field and S the surface with equation x = In (y - 1) described in the following figure. When taking n = (e, 1, 0) then the normal vector unitary that determines the orientation of S is N = The double integral that allows to calculate the flux integral F F. Nds is: -6 5 A) [² m² (re² − x) dxdz 6 cln 5 B)(x − xe²) dxdz 0 0 -6 In 5 C) [ L™³ xez <- x √e²+1 dx dz -6 5 D) Lith (re* — a) dx dz In 5 S

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6) Let F(x, y, z) = 2ri+xyj+x²zk be
a vector field and S the surface with
equation x = In (y - 1) described in the
following figure.
When taking n
=
(e, 1, 0) then the
normal vector unitary that determines
the orientation of S is N =
The double integral that allows to calculate
the flux integral
F
F. Nds is:
-6
5
A) [² m² (re² − x) dx dz
6
ln 5
B)(x − xe²) dxdz
0
0
6
In 5
C)
[ L™³
xez <- x
√²+1
dx dz
-6
5
D) Lith
(re* — a) dx dz
In 5
S
Transcribed Image Text:6) Let F(x, y, z) = 2ri+xyj+x²zk be a vector field and S the surface with equation x = In (y - 1) described in the following figure. When taking n = (e, 1, 0) then the normal vector unitary that determines the orientation of S is N = The double integral that allows to calculate the flux integral F F. Nds is: -6 5 A) [² m² (re² − x) dx dz 6 ln 5 B)(x − xe²) dxdz 0 0 6 In 5 C) [ L™³ xez <- x √²+1 dx dz -6 5 D) Lith (re* — a) dx dz In 5 S
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