Math Help - URGENT !!! need help with these 3 integrals problems

Hi, I need urgent help with these 3 integrals problems ... been stuck on the questions and the deadline is Friday. Thanks a lot !


1) For the green's theorem,



I got the answer : 18.684. Not sure whether it is correct. Please kindly explain in steps so I know where I went wrong.


2) I'm totally unsure about finding the surface integral. How do I know the shape of the surface ?




3) and finding the curl function f

.

All I know is, it has something to do with curl. Something like F = grad f.


Thanks again !

Here is the first one.

Here is a response to 3.

I am confused about 2).

I think you mean,

S:x^2+y^2=z^2

Not a^2.

Since a, z are located next to each other on a standard keyboard.

Originally Posted by ThePerfectHacker

Here is a response to 3.

Hi, Thanks a lot for your quick reply. I think I'm required to find a function f that satisfy the given theorem. I'm pretty confused about the question too.

Originally Posted by ThePerfectHacker

I am confused about 2).

I think you mean,

S:x^2+y^2=z^2

Not a^2.

Since a, z are located next to each other on a standard keyboard.

It is a^2. It stands for radius for example, in the parametric equation : x^2 + y^2 + z^2 - a^2 = 0 where a is the radius with centre 0.