Recent content by -=nobody=-

Well, I,ve just solved the third one. http://img46.imageshack.us/img46/2940/relat5ia.jpg For the second I tried to use Poisson distribution but the numbers are too large to use it. Binomial probability doesn't help me too because the numbers are larger then 30. In the first I don't even...

probability questions I have some tasks and I don't know how should I solve them. 1) During transporting 3% percent of the goods get damaged. What is the possibility that among 6 chosen goods there will be a) only one damaged b) at least one damaged 2) The probability that a...

Sorry for this post, I had some problems with my internet browser.

It's clear that there is symmtry, but if r=(x^2+y^2+z^2)^1/2 everything will be much more complicated. How should it be solved then?

Won't it be much more complicated, or is it the only way? r=(x^2+y^2+z^2)^1/2.

Well, the idea is probably good, but it doesn't help me with the integral

Should I do it like it is described in this article? http://libraryofmath.com/math/Calculus_III/directory/Example_Calculus_III_Volume_of_an_Ellipsoid.html If I do it so u=x/a, v=y/b, w=z/c. How can I prove that...

2c\int_{x=-a}^a\int_{y=-b\sqrt{1-\frac{x^2}{a^2}}}^{b\sqrt{1-\frac{x^2}{a^2}}}\sqrt{1-\frac{x^2}{a^2}-\frac{y^2}{b^2}}dydx Can you help me with this integral?

And can you please show me how we can receive this V = \frac{4}{3}\pi abc from this 2c\int_{x=-a}^a\int_{y=-b\sqrt{1-\frac{x^2}{a^2}}}^{b\sqrt{1-\frac{x^2}{a^2}}}\sqrt{1-\frac{x^2}{a^2}-\frac{y^2}{b^2}}dydx And can we also use...

Thank you very much, the information is great. And can you write the formula like in https://www.physicsforums.com/showpost.php?p=577097&postcount=12" but for an ellipsoid where a, b and c are different.

Well, I have a small problem. I know the general formula for the volume of an ellipsoid. But I have a task to find it with the help of an integral. Can you explain me how to do this?