1. Verify Green's theorem in the plane for 6 (3x- 8y) dx + (4y – 6xy)dy, where C is the boundary of the region defined by: (a) y = Vx, y = x2; (b) x= 0, y = 0, x+y = 1. %3D

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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1.
Verify Green's theorem in the plane for
6 (3x- 8y) dx + (4y – 6xy)dy, where C is the boundary of the
region defined by: (a) y = Vx, y = x2; (b) x = 0, y = 0, x+y = 1.
%3D
Transcribed Image Text:1. Verify Green's theorem in the plane for 6 (3x- 8y) dx + (4y – 6xy)dy, where C is the boundary of the region defined by: (a) y = Vx, y = x2; (b) x = 0, y = 0, x+y = 1. %3D
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