Please help me solve all correct and ill rate Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions.(a) P(x, y) = xy²,Q(x, y) = -yx²№ooºP dx + Q dy ==aQ16 (00-or) dx dy - [=?х ду(b) P(x, y) = x + y, Q(x, y) = 4yJoofP dx + Q dy =/ 6 (2²-2) ∞xov - 1(c) P(x, y) = 8xy = Q(x, y)[Pox+Qay-P dx + Q dy =aQ11 (32²-3²) dx dy -=əx ду1(d) P(x, y) = 4y, Q(x, y) = xP dx + Q dy= =lacaQ// ( 08²2-3²) dx dy = [əx ду7

Since you have posted a question with multiple subparts, so we will solve only the first three…

Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. (a) P(x, y) = xy², Q(x, y) = -yx² Topd P dx + Q dy = aQ /[(25) dx dy - [ = ?х ду (b) P(x, y) = x + y, Q(x, y) = 4y Jooº P dx + Q dy = aQ ap // ( 12² - 2+ ) ax ay = [ dx dy əx ду (c) P(x, y) = 8xy = Q(x, y) [Pdx P dx + Q dy = ƏQ 16 (00-) dx dy-1 = ду 00

Verify Green's theorem for the disc D with center (0, 0) and radius R and the following functions. (a) P(x, y) = xy², Q(x, y) = -yx² Topd P dx + Q dy = aQ /[(25) dx dy - [ = ?х ду (b) P(x, y) = x + y, Q(x, y) = 4y Jooº P dx + Q dy = aQ ap // ( 12² - 2+ ) ax ay = [ dx dy əx ду (c) P(x, y) = 8xy = Q(x, y) [Pdx P dx + Q dy = ƏQ 16 (00-) dx dy-1 = ду 00

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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