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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b8bae4d-0fcb-4e6e-b4fa-ffc8c3b99ec5%2Fc24340f1-d309-4cc5-9202-eab70bf63d03%2Fxwpibi_processed.jpeg&w=3840&q=75)
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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