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Mathematics 16 Online
OpenStudy (anonymous):

CAN SOMEONE PLEASE SOLVE THESE QUESTION ATTACHED TO THIS POST... NEED TO CROSS VERIFY THEM

OpenStudy (anonymous):

OpenStudy (anonymous):

u gotta be kidding me

OpenStudy (lgbasallote):

a scary face popped in my face o.O

OpenStudy (lgbasallote):

anyway which one do you need help on?

OpenStudy (anonymous):

I basically need on 1 and 3

OpenStudy (anonymous):

Where are you from, please tell.

OpenStudy (anonymous):

Why do you need that info

OpenStudy (anonymous):

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

OpenStudy (anonymous):

What do you think @Mikael

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Lets cut the chase shall we . I hail from India

OpenStudy (anonymous):

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

OpenStudy (anonymous):

that I know

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

this is simply the z coord.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Now I have solved the question

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

You seem to be revolve around medal in here

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

or smthng

OpenStudy (anonymous):

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

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