Which of the following vector fields are conservative? (i) F(x, y) = (6x³y5 + 9)i + (5x6y4 + 3) j (ii) F(x, y) = (5ye5x + sin 9y)i + (e5x + 9x cos 9y) j (iii) F(x, y) = 7y²e7xy i + (7 + xy) e7xy j A) none of them (B) (i) and (iii) only (C) (iii) only (D) (i) and (ii) only (E) all of them (F) (ii) and (iii) only G) (ii) only (H) (i) only
Which of the following vector fields are conservative? (i) F(x, y) = (6x³y5 + 9)i + (5x6y4 + 3) j (ii) F(x, y) = (5ye5x + sin 9y)i + (e5x + 9x cos 9y) j (iii) F(x, y) = 7y²e7xy i + (7 + xy) e7xy j A) none of them (B) (i) and (iii) only (C) (iii) only (D) (i) and (ii) only (E) all of them (F) (ii) and (iii) only G) (ii) only (H) (i) only
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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