Use Stokes’ Theorem to evaluate

C: is the boundary of the portion of below z = 4, oriented downward,

Can someone please check over my work thanks!

First I found N -->

Then i found

from using the formula

Now

Then

So putting it all together....

The square roots cancel and reduce to....

This double integral of 1 dA is equal to the Area of the Region

And using and we come up with

Does look correct for the answer?

Thanks for looking