b) Use Green's theorem to evaluate SF o dr where F(x,y) = (ycosx - xysinx, xy + xcosx) C and C is the triangle from (0,0) to (2,0) to (0,4) to (0,0)

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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b) Use Green's theorem to evaluate SF o dr where F(x,y) = (ycosx - xysinx, xy + xcosx)
C
and C is the triangle from (0,0) to (2,0) to (0,4) to (0,0)
Transcribed Image Text:b) Use Green's theorem to evaluate SF o dr where F(x,y) = (ycosx - xysinx, xy + xcosx) C and C is the triangle from (0,0) to (2,0) to (0,4) to (0,0)
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