Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

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

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.

Offline

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

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.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,727

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

Pages: **1**