Recent content by Vey2000

Homework Statement Calculate \int_0^{\frac{\pi}{2}} \frac{1}{\sqrt{1+\sin^2 x}} dx expressing its solution in terms of the gamma function. It's suggested to first use the change of variable \sin x = t Homework Equations The gamma function is defined as p>0, \Gamma(p)=\int_0^\infty x^{p-1}...

I'm aware of that -- I said so myself: "...this is getting needlessly out of the way." However, it's my biased opinion as a student that if you can't see the proper way, the beltway is better than no way. You can't build up a mathematical intuition for how to get from A to B quickly if you don't...

From my perspective, I believe the confusion has been one of definitions and lack of consistency. Gregor seems to have been seeking a "formula" for converting from one unit to another. In essence, it is as he said, he was after a formula for the dimensionless numerical value of g. The problem...

Thank you, now I have a starting point to look more into this. :smile:

Maybe there's something I'm missing, but I just realized that if we take a certain general ODE such as y''+k^2 y=0 for example, and assume that in a specific case k=0 the solution is vastly different depending on whether k is set to 0 before or after solving the ODE. The general solution to...

Sorry for not answering earlier, but I've been (and am) busy with exams. Looking back on my previous response, I realize now that I fell for your trick question. Equilibrium does not necessarily mean that the intensive parameters are homogenous. Equilibrium means that the entropy of a system...

There is a problem regarding electromagnetic radiation in my thermodynamics book (Callen) that tells you to assume that the universe's expansion is isentropic. I quote: "Assume the expansion to be isentropic (this being a nonobvious prediction of cosmological model calculations)" I asked my...

I'm just a student, so I may be wrong. However, I don't think the problem you have posed is actually in equilibrium. The grape will eventually decompose. Not only that, but water is most likely slowly seeping into the grape through the skin. There might be many more ways in which the system...

The lab experiment involved stationary sound waves within an open tube produced by a speaker placed near one of the ends of the tube. There are three questions I am unsure of. a) The antinodes near the ends of the tube are not located exactly where the tube ends. Why is this? b) Estimate from...