6) The work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and 3e (2,-3) with F = - 2y, 2x-y +3) is given by W = F.dr Using cos x+ Inx Green's theorem, construct the diagram of the identified shape, then find W. (ans:24)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question
6)
The work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and
3e
(2,-3) with F=(
- 2y, 2x-Vy +3) is given by W = OF dr Using
cos x + In x
Green's theorem, construct the diagram of the identified shape, then find W. (ans:24)
Verify the Green's theorem for integral f. x?y dx + xy dy, where C is the boundary
described counter-clockwise of a triangle with vertices A= (0,0), B = (0,3) and
7)
C=(-2,3) (ans: 4)
Transcribed Image Text:6) The work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and 3e (2,-3) with F=( - 2y, 2x-Vy +3) is given by W = OF dr Using cos x + In x Green's theorem, construct the diagram of the identified shape, then find W. (ans:24) Verify the Green's theorem for integral f. x?y dx + xy dy, where C is the boundary described counter-clockwise of a triangle with vertices A= (0,0), B = (0,3) and 7) C=(-2,3) (ans: 4)
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