- #1
hils0005
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Homework Statement
For what value(s) of the scalar 'a' is the vector field
F(x,y,z)= 2xz i + ay^3 j + (x^2 + y^4) k conservative
The Attempt at a Solution
F1=2xz
F2=ay^3z
F3=(x^2 + y^4)
I used 3D curl test??
1)(partial F2)/(partial dx) - (partial F1)/ (partial dy)= 0-0 = 0
2)(partial F3)/(partial dy) - (partial F2)/ (partial dz)= 4y^3 - ay^3=0 so a=4
3)(partial F1)/(partial dz) - (partial F3)/ (partial dx)= 2x-2x = 0
my answer would be a=4