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b) Verify Green's Theorem, by evaluating (both integrals in the theorem) I F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cost, sin t]; 0 ≤ t ≤ 2. (Unit circle) F=[F₁,F2] [2x, -3y]

b) Verify Green's Theorem, by evaluating (both integrals in the theorem) I F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cost, sin t]; 0 ≤ t ≤ 2. (Unit circle) F=[F₁,F2] [2x, -3y]

Elements Of Modern Algebra
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 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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b) Verify Green's Theorem, by evaluating (both integrals in the theorem) F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cos t,sin t] ; 0 <t < 2n. (Unit circle) F = [F1,F2] = [2x,–3y]
Transcribed Image Text:b) Verify Green's Theorem, by evaluating (both integrals in the theorem) F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cos t,sin t] ; 0 <t < 2n. (Unit circle) F = [F1,F2] = [2x,–3y]
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