Question

Determine which one of the following vector fields is conservative.
Answer

1. U = (y2 + 2z)i + (5xy + 6z)j + (2xz + y + z2)k

2. G = 2xi - (2 - xz)j + xyk

3. F = -w(yi - xj) where w is a positive constant.

4. H = -k(2xi + yj) where k is a constant.

Answer 1

Man, you got me. I can't think of any f where the given expressions are ∇f.

Sure there are no typos?