3. Apply Green's Theorem to evaluate the given integrals: a. $. (2x + y²)dx + (2xy + 3y)dy where C is any simple closed curve in the plane for which Green's Theorem holds. b. f. (3y)dx + (2x)dyC is the boundary of 0

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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3. Apply Green's Theorem to evaluate the given integrals:
f. (2x + y²)dx + (2xy + 3y)dy where C is any simple closed curve in the plane for which Green's
а.
Theorem holds.
b. f. (3y)dx + (2x)dyC is the boundary of 0 < x < n, 0 < y < sin x
Transcribed Image Text:3. Apply Green's Theorem to evaluate the given integrals: f. (2x + y²)dx + (2xy + 3y)dy where C is any simple closed curve in the plane for which Green's а. Theorem holds. b. f. (3y)dx + (2x)dyC is the boundary of 0 < x < n, 0 < y < sin x
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