Given that the vector field F= (x²,y²,z²) is conservative, which of these represent a valid potential of F? T all of these for which this statement applies. Ⓒ p(x,y,z) = (1/3) (x³+y³+z³) p(x,y,z) = (1/3) (x³y³z³) q (x,y,z) = (1/2) (x²y²z²) p(x,y,z) = (1/3) (x³+y³+z³) +666

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that the vector field F= (x²,y²,z²) is conservative, which of these represent a valid potential of F? Tick
all of these for which this statement applies.
A p(x,y,z) = (1/3) (x³+y³+z³)
B
D
p(x,y,z) = (1/3) (x³y³z³)
p(x,y,z) = (1/2) (x², ²₂²)
p(x,y,z)=(1/3) (x³+y³+z³) +666
Transcribed Image Text:Given that the vector field F= (x²,y²,z²) is conservative, which of these represent a valid potential of F? Tick all of these for which this statement applies. A p(x,y,z) = (1/3) (x³+y³+z³) B D p(x,y,z) = (1/3) (x³y³z³) p(x,y,z) = (1/2) (x², ²₂²) p(x,y,z)=(1/3) (x³+y³+z³) +666
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