Need help with practice problem

(c) Indicate whether each of the following statements is TRUE or FALSE. Simply circle your answer. You do not need to justify your answer. (i) TRUE or FALSE: If f(x, y) and g(x, y) are differentiable on R and the gradient vector fields of f(x, y) and g(x, y) are equal on R , then f(x, y) = g(x, y) on R2. TRUE FALSE (ii) TRUE or FALSE: F(x, y, Z) = \\ yz += 1+ x 2 , *Z, xy ) is a conservative vector field. TRUE FALSE (ili) TRUE or FALSE: The sum of line integrals: ( y dx + x dy + z dz , may be interpreted as the amount of work done by the vector field F(x, y, z) = (y, x, z) in moving a particle along the curve C. TRUE FALSE