Verify Green's Theorem by evaluating both integrals √( 1² dx + x² dy = √ √ (2x - 3M) JA dA əx ду for the given path. C: rectangle with vertices (0, 0), (4, 0), (4, 7), and (0, 7) √ [ lvz y² dx + dx + x² dy = ƏN dA = JS (ON-OM) DA - [ Əx ду

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Verify Green's Theorem by evaluating both integrals
ƏN
ƏM
[[ 1² αx + x² * = [] (ax_3M) da
dx
dy
əx
Əy
for the given path.
C: rectangle with vertices (0, 0), (4, 0), (4, 7), and (0, 7)
√y² dx + x² dy =
ƏN
IS (ON - 3M) A = [
əx
ду
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals ƏN ƏM [[ 1² αx + x² * = [] (ax_3M) da dx dy əx Əy for the given path. C: rectangle with vertices (0, 0), (4, 0), (4, 7), and (0, 7) √y² dx + x² dy = ƏN IS (ON - 3M) A = [ əx ду
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