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Stokes' theorem is given by curlF = SP which is a generalization of Green's theorem. i) State TWO (2) dissimilarities between Green's and Stokes' theorems. ii) Applying the Green's and Stokes' theorems, state THREE (3) properties to describe a curve C which bounded the region S. iii) State ONE (1) application of Stokes' theorem in the field of engineering.

Stokes' theorem is given by curlF = SP which is a generalization of Green's theorem. i) State TWO (2) dissimilarities between Green's and Stokes' theorems. ii) Applying the Green's and Stokes' theorems, state THREE (3) properties to describe a curve C which bounded the region S. iii) State ONE (1) application of Stokes' theorem in the field of engineering.

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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Stokes' theorem is given by curlF n ds = |E dr, which is a generalization of Green's theorem. i) State TWO (2) dissimilarities between Green's and Stokes' theorems. ii) Applying the Green's and Stokes' theorems, state THREE (3) properties to describe a curve C which bounded the region S. iii) State ONE (1) application of Stokes' theorem in the field of engineering. iv) Given F(x,y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.
Transcribed Image Text:Stokes' theorem is given by curlF n ds = |E dr, which is a generalization of Green's theorem. i) State TWO (2) dissimilarities between Green's and Stokes' theorems. ii) Applying the Green's and Stokes' theorems, state THREE (3) properties to describe a curve C which bounded the region S. iii) State ONE (1) application of Stokes' theorem in the field of engineering. iv) Given F(x,y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.
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