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
Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 7CM
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd833324f-1d62-43b6-8b7c-e4f31ecd9e8f%2F9e8aac1c-c208-41b6-8d03-add56468bb17%2Fd89ddy5_processed.jpeg&w=3840&q=75)
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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