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(2) Let us define: Ex(x, y)dx + Fy(x, y)dy = F(r) · dr, where F(r) = (Fx, Fy) and r = = (x, y). show that the necessary and sufficient condition for the integral F(r). dr to be independent of the path A → B is: aFx(x,y) _ dF₂(x, y) Əx ду

(2) Let us define: Ex(x, y)dx + Fy(x, y)dy = F(r) · dr, where F(r) = (Fx, Fy) and r = = (x, y). show that the necessary and sufficient condition for the integral F(r). dr to be independent of the path A → B is: aFx(x,y) _ dF₂(x, y) Əx ду

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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(2) Let us define: B Fx(x, y)dx + Fy(x, y)dy = F(r) · dr, where F(r) = (Fx, Fy) and r = (x, y). show that the necessary and sufficient condition for the integral F(r). dr to be independent of the path A → B is: OF(x,y) ду aF, (x, y) əx
Transcribed Image Text:(2) Let us define: B Fx(x, y)dx + Fy(x, y)dy = F(r) · dr, where F(r) = (Fx, Fy) and r = (x, y). show that the necessary and sufficient condition for the integral F(r). dr to be independent of the path A → B is: OF(x,y) ду aF, (x, y) əx
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