(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise orientation,

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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Green’s Theorem for line integrals Use either form of Green’s
Theorem to evaluate the following line integral.

(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the
half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise
orientation,
Transcribed Image Text:(-3y + x/2) dx + (x – y/3) dy; C is the boundary of the half-disk { (x, y): x² + y? < 2, y = 0} with counterclockwise orientation,
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