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The vector field F is given by F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*)} + (x³y+y³x + xy² z² ) k . Calculate by using Stoke's theorem the value of the line integral I = S₁ F · dī, where L is the closed contour OD Si S₂ L₂

The vector field F is given by F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*)} + (x³y+y³x + xy² z² ) k . Calculate by using Stoke's theorem the value of the line integral I = S₁ F · dī, where L is the closed contour OD Si S₂ L₂

Advanced Engineering Mathematics
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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What is the I?
The vector field F is given by Calculate by using Stoke's theorem the value of the line integral I S, F.di, where L is the closed contour OABCDEO defined by the successive vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (1, 1, 1), (1, 1, 0), (0, 1, 0), (0, 0, 0). . F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*) + (x³y+y³x + xy² z² ) k I= S₁ { T .S₂ L₂
Transcribed Image Text:The vector field F is given by Calculate by using Stoke's theorem the value of the line integral I S, F.di, where L is the closed contour OABCDEO defined by the successive vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (1, 1, 1), (1, 1, 0), (0, 1, 0), (0, 0, 0). . F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*) + (x³y+y³x + xy² z² ) k I= S₁ { T .S₂ L₂
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