## punnus 3 years ago CAN SOMEONE PLEASE SOLVE THESE QUESTION ATTACHED TO THIS POST... NEED TO CROSS VERIFY THEM

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1. punnus

2. nickhouraney

u gotta be kidding me

3. lgbasallote

a scary face popped in my face o.O

4. lgbasallote

anyway which one do you need help on?

5. punnus

I basically need on 1 and 3

6. Mikael

Where are you from, please tell.

7. punnus

Why do you need that info

8. Mikael

I have my reasons to ask - basically your nick makes me curious

9. punnus

What do you think @Mikael

10. Mikael

If you tell what I asked - the method for all your questions is from the same chapter of knowledge

11. punnus

Lets cut the chase shall we . I hail from India

12. Mikael

OK the whole bunch of them is solved by Green's - Stock's formula/theorem

13. punnus

that I know

14. Mikael

Soo compute the Curls and integrate - in many cases the curl completely zero or very simple ==> so very easy to integrate

15. punnus

All I want to ask and specifically the 3 ques . In this quest the eqn of the function is bot provided only the curl of the function is provided. Now how shall I find the function from its curl

16. Mikael

And conversely: sometimes the line integral [which is fundamentally simpler as it is 1 Dimensional!] will "annihilate" some of the components

17. punnus

@Mikael the question has already given the curl of the function and now what I have to do is to verify it using general method but the problem is that I dont have the function. And by the way if you curl and curl of a function you will always get 0

18. punnus

And Curl is given. Now Find the actual function from the curl is the real task

19. Mikael

Wait, wait - what is the strange zeta with dot above mean?

20. punnus

It is the unit vector. And it is a unit vecter in the z direction

21. Mikael

CAn't be - because near it IS a unit vector i-with-cap

22. Mikael

The unit vectors ARE clear i,j,k with caps above them

23. punnus

That has no meaning to with the question it is just the way our prof. writes.

24. Mikael

I have got it - this seems very direct exercise of Gauss-Ostrogradsky theorem http://en.wikipedia.org/wiki/Stokes_theorem

25. Mikael

this is simply the z coord.

26. Mikael

Aand what ques. 3 is asking is to compute the surface integral of Grad(xyz) = yz*i + xz*j + xy*k

27. Mikael

Now read the whole wiki http://en.wikipedia.org/wiki/Stokes_theorem Decide what is more applicable here Stokes or Gauss - Ostrogradsky and get your check

28. Mikael

Yeah one IMPORTANT THING : comlete your surface from ONE octant to full 8 octants and use the symmetry of both the FUNCTIO xyz and the Ellipsoid ===> then u can use Gauss-Ostrogradsky

29. punnus

Now I have solved the question

30. Mikael

Aand if u do a Volume integral - it separates in PRODUCT of three identical integrals

31. Mikael

You should post the method of solution here - courtesy (and even self interest... for the future). I imagine also that u heard about medals and such

32. Mikael

Thx and post some general outline - in 2-3 simple printed sentences

33. punnus

You seem to be revolve around medal in here

34. Mikael

No it is my PERSONAL folly. You know even Newton was a bit after empty honors...

35. Mikael

Aand it would be "morally symmetric" to share the method of solution here for all.

36. punnus

So are u a clg student or go to school. Or work as a teacher or something

37. Mikael

or smthng

38. punnus

Ya I will do that in 2-3 days as ringht now I am busy with analog elec