Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. (а) Р(x, у) - 9ху?, Q(х, у) 3D -9ух2 P dx + Q dy ЈәD П дР де dx dy дх ду (b) Р(x, у) 3 х + у, Q(x, у) 3 9у P dx + Q dy ЛL ӘР де dx dy дх ду (с) Р(х, у) 3D 7ху : Q(х, у) %3D P dx + Q dy ӘР де dx dy %3D дх ду (d) Р(х, у) %3D 6у, Q(x, у) P dx + Q dy OD дР dx dy %3D дх de ду

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions.
(а) Р(x, у) - 9ху?,
Q(х, у) 3D -9ух2
P dx + Q dy
ЈәD
П
дР
де
dx dy
дх
ду
(b) Р(x, у) 3 х + у, Q(x, у) 3 9у
P dx + Q dy
ЛL
ӘР
де
dx dy
дх
ду
(с) Р(х, у) 3D 7ху :
Q(х, у)
%3D
P dx + Q dy
ӘР
де
dx dy
%3D
дх
ду
(d) Р(х, у) %3D 6у, Q(x, у)
P dx + Q dy
OD
дР
dx dy
%3D
дх
de
ду
Transcribed Image Text:Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. (а) Р(x, у) - 9ху?, Q(х, у) 3D -9ух2 P dx + Q dy ЈәD П дР де dx dy дх ду (b) Р(x, у) 3 х + у, Q(x, у) 3 9у P dx + Q dy ЛL ӘР де dx dy дх ду (с) Р(х, у) 3D 7ху : Q(х, у) %3D P dx + Q dy ӘР де dx dy %3D дх ду (d) Р(х, у) %3D 6у, Q(x, у) P dx + Q dy OD дР dx dy %3D дх de ду
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