1. Use Green's theorem in order to compute the line integral $ (3cos + 6y?) dx + (sin(5") + 16x³) dy CO x where C is the boundary of the square [0, 1] × [0, 1] traversed in the counterclockwise way.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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1. Use Green's theorem in order to compute the line integral
$ (3cos a + 6y²) dx + (sin(5ª) + 16x³) dy
where C is the boundary of the square [0, 1] × [0, 1] traversed in the
counterclockwise way.
Transcribed Image Text:1. Use Green's theorem in order to compute the line integral $ (3cos a + 6y²) dx + (sin(5ª) + 16x³) dy where C is the boundary of the square [0, 1] × [0, 1] traversed in the counterclockwise way.
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