Let F (x, y, z) = 3yi-xzj + yzk, S is the boundary of the solid Q, which is shown in the figure and N is a normal vector outside Q. a) Calculate ∫ ∫ s F ∙ N dS without using the divergence theorem. b) Calculate ∫ ∫ s F ∙ N dS using the divergence theorem

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let F (x, y, z) = 3yi-xzj + yzk, S is the boundary of the solid Q, which is shown in the figure and N is a normal vector outside Q.


a) Calculate ∫ ∫ s F ∙ N dS without using the divergence theorem.

b) Calculate ∫ ∫ s F ∙ N dS using the divergence theorem

z =1- x2
Y
y+x=1
X
Transcribed Image Text:z =1- x2 Y y+x=1 X
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