Recent content by hobbes33

Ah, here's the critical link. I got it, thanks! :D

\Sigma^{\infty}_{n=1}\left[1/3^{ln\:n}}\right] How do I go about testing the convergence of this series? I have no clue which method I should be using, since most tests fails on this one. You don't have to show me everything, just a nudge in the right direction should get me going on...

It's a standard wall switch. It looks no different from other normal light switches in my house, just that this one had the special function. A guest would think that the switch only controls light A since he will have no idea how to operate this special switch and there's no clue to give it...

I have a single lighting switch at home which controls two sets of light separately, but I have no idea how it works. Here's what the single switch does when flipped on-and-off quickly, On -> Light A turns on Off -> A turns off On -> Light B turns on Off -> B turns off On -> Light A and...

In case anyone wants to check, the answer should be around 3.6 using a scale model. By using a software to digest some of the equations i threw in, the answer comes out to approximately 3.580181. But of course, the equations are too long for someone to solve by hand. I think someone must...

Thanks for pointing out that info. But isn't there another way to solve this question rather than to solve a 7 variable simultaneous equation? Most variables are not linear combination of each other too, so I doubt the 7 equations are practically reducible.

Here's a simple looking geometry question, but I can't seem to solve it. But according to scale models, there is a unique answer for BC. Equations with Pythagoras' theorem or cosine rule always seems to end up in an illegible pile of mess. Does anyone has any idea how to go about solving...