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Using Stoke's theorem, evaluate the scalar line integral of the vector field F(x, y, z)=z³(x + 2)i+y² ln(x)j + exp(y)k 2 for one complete anticlockwise traversal of a square of length 1 with its centre at the origin and its sides parallel to the x and z axes as drawn below. -a/2 Z 0 a/2 X jø i

Using Stoke's theorem, evaluate the scalar line integral of the vector field F(x, y, z)=z³(x + 2)i+y² ln(x)j + exp(y)k 2 for one complete anticlockwise traversal of a square of length 1 with its centre at the origin and its sides parallel to the x and z axes as drawn below. -a/2 Z 0 a/2 X jø i

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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Using Stoke's theorem, evaluate the scalar line integral of the vector field F(x, y, z) = 2³ (x + 2)i+y² ln(x)j + exp(y)k for one complete anticlockwise traversal of a square of length 1 with its centre at the origin and its sides parallel to the x and z axes as drawn below. -a/2 Z 0 a/2 x j
Transcribed Image Text:Using Stoke's theorem, evaluate the scalar line integral of the vector field F(x, y, z) = 2³ (x + 2)i+y² ln(x)j + exp(y)k for one complete anticlockwise traversal of a square of length 1 with its centre at the origin and its sides parallel to the x and z axes as drawn below. -a/2 Z 0 a/2 x j
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