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#1 2013-06-06 02:45:00

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Multivar Vector calculus

Calculate the surface integral:
∫ ∫ with s on bottom. F dot dS where F (x,y,z) = = (2x + y + z ; x + 2y + z ; x + y + 2z)
where S is the surface of the box bounded by the planes x = 0, x = 1, y = 0, y = 4, z = 0, z = 5

I used the divergence theorem and got 120.

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#2 2013-06-06 03:03:39

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: Multivar Vector calculus

Some clarification

Calculate the surface integral seen there:

http://latex.codecogs.com/gif.latex?\int%20\int_{S}%20F\cdot%20d\mathbf{S}

when:

http://latex.codecogs.com/gif.latex?F(x,y,z)%20=%20(2x%20+%20y%20+%20z%20;%20x%20+%202y%20+%20z%20;%20x%20+%20y%20+%202z)

Thanks for bobbym for telling me about codecogs to make the stuff look better.

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#3 2013-06-06 11:13:16

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Multivar Vector calculus

Hi;

You can take codecog's output and put it between the math tags to create latex here.

Your answer of 120 by the divergence theorem is what I am getting. Hopefully, the conditions of that theorem have not been violated.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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