Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's Theorem for the field F = 8xi - 5yj. Take the domains of 2 2 2 integration in each case to be the disk R: x +y sa and its bounding circle C: r = (a cost)i + (a sin t)j, 0≤t≤ 2. i Click here for the two forms of Green's Theorem. The flux is. (Type an exact answer, using as needed.) *

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 18E
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Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's Theorem for the field F = 8xi - 5yj. Take the domains of
2
2
integration in each case to be the disk R: x +y sa and its bounding circle C: r= (a cost)i + (a sin t)j, 0≤t≤ 2.
i Click here for the two forms of Green's Theorem.
The flux is
(Type an exact answer, using it as needed.)
Transcribed Image Text:Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's Theorem for the field F = 8xi - 5yj. Take the domains of 2 2 integration in each case to be the disk R: x +y sa and its bounding circle C: r= (a cost)i + (a sin t)j, 0≤t≤ 2. i Click here for the two forms of Green's Theorem. The flux is (Type an exact answer, using it as needed.)
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