x2 Y2 F.n dS = S

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
Evaluate the surface integral
JI.
F.n dS.
S
Where F(x, y, z) = 4.xyi – 2x²j+ 4yzk
and S is the surface z
-xe",
0 < x < 4, 0 <y< 4, with upward
orientation.
x2
Y2
F.n dS
Y1
Σ
dy dx
where
Y1
Y2
4
Σ
Σ
X2
Σ
Evaluate
F.n dS
|| ||
M M M M
Transcribed Image Text:Evaluate the surface integral JI. F.n dS. S Where F(x, y, z) = 4.xyi – 2x²j+ 4yzk and S is the surface z -xe", 0 < x < 4, 0 <y< 4, with upward orientation. x2 Y2 F.n dS Y1 Σ dy dx where Y1 Y2 4 Σ Σ X2 Σ Evaluate F.n dS || || M M M M
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