1) Assume we have the same vector field as in Math Prompt 3. Give an example of a curve from (2,4) to (3,9) that would give a different numerical value for the work done, if possible. If it is not possible to find a curve that gives a different numerical value for the work done, explain why.

2) Come up with an example of a conservative vector field and a closed loop of your choice and show you get 0 directly (do out the line integral), using FTLI, and using Green's Theorem.