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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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Which of the following vector fields are conservative?
(i) F(x, y) = (7x6y6 + 5)i + (6x7y5 + 4) j
(ii) F(x, y) = (6ye6x + sin 5y)i + (e6x + 5x cos 5y) j
(iii) F(x, y) = 2y²e²xy i + (1 + 2xy) e²xy j
(A) (ii) only (B) (i) and (ii) only (C) none of them (D) (iii) only (E) (i) only (F) (i) and (iii) only
(G) all of them (H) (ii) and (iii) only

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