Please help answer number 3. Thank you so much!

MECH2407: Multivariable Calculus & Partial Differential Equations 3. (a) Consider the vector field F(x, y, z) = (e* sin y - yz) i + (e* cosy - xz) j + (z - xy)k. (i) Show that the vector field F is conservative. (ii) Determine the potential function f (x, y, z) for the vector field F. (iii) Hence, or otherwise, evaluate the work done by the vector field F along the line segment from the point (1, 0, 1) to the point (2, It, -1). (9 marks) (b) Evaluate the line integral along a closed path C for the vector field F(x, y ) = (-x2 y) i + (xy?) j. If we take the domain of the integral to be the disk R: x2 + y