Hey I am having trouble with the first two problems... For problem one, I am not sure how to prove this. Usually, given a vector for Greens Theorem I would use dF2/dx - dF1/dy, but Im not given one here... Im guessing I would need to use parametrization at some point.

For the second problem Im even more lost... not sure if I understand the question completely but I have no clue how to use Maxwell's Law and Stokes Theorem to derive the equation(1) given. Any help/hints to get me started in the right direction would be appreciated