I am trying to solve this problem
however i am struggling to compute this, as i get the vorticity to be f(r)/r but this isn't right
any hints on how to do this would be great
2026-03-28 00:36:42.1774658202
finding the vorticity
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It looks like you didn't use the product rule here. The relevant term in the formula for curl is $$\frac{1}{r}\frac{\partial (rf)}{\partial r}$$ which yields $$\frac{f}{r}+\frac{\partial f}{\partial r}$$ according to the product rule. It is easy to show that this vanishes for the given $f$.