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Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. : 8xy”, Q(x, y) = −8yx2 (a) P(x, y) л = л ƏD ƏQ ӘР Әх ду л (b) P(x, y) = x + y, Q(x, y) = 7y [ P dx + Q dy = JaD ƏQ ӘР ль (ар) ах D ду - дQ Әх P dx + Q dy = (c) P(x, y) = 2xy = Q(x, y) [pd дQ ах ƏD - dx dy = ӘР ду (d) P(x, y) = 4y, Q(x, y) = X P dx + Q dy = dx dy P dx + Q dy = ӘР ду dx dy = dx dy =

Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. : 8xy”, Q(x, y) = −8yx2 (a) P(x, y) л = л ƏD ƏQ ӘР Әх ду л (b) P(x, y) = x + y, Q(x, y) = 7y [ P dx + Q dy = JaD ƏQ ӘР ль (ар) ах D ду - дQ Әх P dx + Q dy = (c) P(x, y) = 2xy = Q(x, y) [pd дQ ах ƏD - dx dy = ӘР ду (d) P(x, y) = 4y, Q(x, y) = X P dx + Q dy = dx dy P dx + Q dy = ӘР ду dx dy = dx dy =

Algebra & Trigonometry with Analytic Geometry
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. (a) P(x, y) = 8xy2, Q(x, y) = −8yx2 л да ӘР ах ду P dx + Q dy = (b) P(x, y) = x + y, Q(x, y) = 7y Јас л / (x - ap) ax ay = dy = ах ду JaD dx dy = (c) P(x, y) = 2xy = Q(x, y) әQ Әх P dx + Q dy = P dx + Q dy = ӘР ду dx dy = (d) P(x, y) = 4y, Q(x, y) = x P dx + Q dy = ӘР - ль (р. Әх ду dx dy =
Transcribed Image Text:Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. (a) P(x, y) = 8xy2, Q(x, y) = −8yx2 л да ӘР ах ду P dx + Q dy = (b) P(x, y) = x + y, Q(x, y) = 7y Јас л / (x - ap) ax ay = dy = ах ду JaD dx dy = (c) P(x, y) = 2xy = Q(x, y) әQ Әх P dx + Q dy = P dx + Q dy = ӘР ду dx dy = (d) P(x, y) = 4y, Q(x, y) = x P dx + Q dy = ӘР - ль (р. Әх ду dx dy =
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