Recent content by aFk-Al

Homework Statement Water is draining from a conical tank with height 12 feet and diameter 8 feet into a cylindrical tank that has a base with area 400 \pi square feet. The depth, h, in feet, of the water in the conical tank is changing at the rate of (h-12) feet per minute. A) Write an...

I have no idea how to integrate that, so I don't have much work to show. The idea makes sense in my head, but I don't know how to follow through with it.

Couldn't I divide the sphere into a hemisphere and multiply it by 2? E.G. 2*\pi*\int_{0}^R (\sqrt{R^2-r^2}*r^2)*r^2 dr Where R is the radius of the sphere. So essentially I'm adding a bunch of \pi*r^2 (circles) to get a half of a sphere. Then multiplying the whole thing times two.

Got it! Thank you very much! I appreciate the help.

Could I make that \frac{2}{3}^n which would be divergent?

Yes, I know that a geometric series is a_n = a_1 * r^{n-1}, that \sum_{k=1}^n a_1 * r^{k-1} = \frac{a_1(1-r^n)}{1-r}, and that a geometric series is convergent if the absolute value of r is less than 1.

Determining Moment of Inertia of a Sphere I'm having some troubles determining the moment of inertia of a sphere about it's central axis. My original question was to calculate it for a cylinder, which I've done, but I'd like to know how to find it for a sphere. Here is the problem solved for a...

I need to determine the convergence of the following equation: \sum_{n=0}^\infty \frac{2^n}{3^n+5} It's not necessary to be formal, but I would like an explanation of how it's done. My belief is that it would converge to zero because although the limit is infinity over infinity, the 3^n...

Yes I know how to integrate that. I am sorry but I'm not following where to go after you have split up \sec^4 5x to \sec^2 5x + \sec^2 5x * \tan^2 5x. I understand that you can now integrate each part separately. I'm pretty sure you can use the power reducing formula to break down \sec^2 5x to...

thanks for the advice, i'll work on that.

I wasn't saying DNS was IP. Just noting that it's not an IP problem.

Can you clearify what exactly you mean? Are you saying when you minimize a program it goes to the taskbar in the bottom right? Are you trying to stop programs from loading there at startup?

I doubt it's an IP problem because of the fact that he can open pages sometimes. Step one would be to make sure you have reset all your browser settings to default and ensure they obtain dns and ip automatically. If you could post what ipconfig says for dns that would be nice. Also default gateway.

This is great guys, thank you all. I just need to memorize all those stupid trig identities and I think this will be a lot easier for me. Thanks again everyone! -Al

\sec^2 x. roger. so what instead?