I'm trying to solve an exercise, and the solution is proberbly simpler than what I'm trying to do.
We are given
The curve is given by the parametrization
where and both have continous differentials and
Then I have shown that
For the part of the excercise I'm having issues with, we are given
Now I need to find the domain of , and show that is the potential function of .
I understand that the domain is , but can I write it in a prettier way?
I'm getting a hint, that I should convert to polar coordinates as soon as possible, because the calculations will be easier. But I cant really figure out how to solve the excercise. Anyone have some hints? Especially on how, when and why I'm supposed to convert to polar coordinates.
Thanks a million.