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of the following vector fields, the one that is conservative corresponds to: 3xy¹+x A) F(x, y, z) = (x³, 3ayt+a, 2+12/12) B) F(x, y, z) = (y³, 3y²+², +) C) F(x, y, z) = (y³, ³x+y+z=²+2) D) F(x, y, z) = (x³, 3x+y+z=²+²)

of the following vector fields, the one that is conservative corresponds to: 3xy¹+x A) F(x, y, z) = (x³, 3ayt+a, 2+12/12) B) F(x, y, z) = (y³, 3y²+², +) C) F(x, y, z) = (y³, ³x+y+z=²+2) D) F(x, y, z) = (x³, 3x+y+z=²+²)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Of the following vector fields, the one that is conservative corresponds to: 3ху1+х A) F(x, y, z) = (x³, 3y¹+x, =¹+²) 3ху1+z B) F(x, y, z) = (y³, 3y¹+²=²+2) 3r*y+z C) F(x, y, z) = (y³, +六) y² D) F(x, y, z) = (x³, = (x³, 3a¹4u+², ÷ +12)
Transcribed Image Text:Of the following vector fields, the one that is conservative corresponds to: 3ху1+х A) F(x, y, z) = (x³, 3y¹+x, =¹+²) 3ху1+z B) F(x, y, z) = (y³, 3y¹+²=²+2) 3r*y+z C) F(x, y, z) = (y³, +六) y² D) F(x, y, z) = (x³, = (x³, 3a¹4u+², ÷ +12)
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