Whoops.
Anyway I rang up the lecturer and the answer was actually, p is infinite for all x but the series converges for all values of x.
Sorry again about that.
Sorry about that. Was a typo.
anyway the question requires us to find the range of x in which the power series converges.
original equation is an=xn/nn
By the ratio test for absolute convergence,
p= limx->inf |an+1/an|
p= limx->inf | [xn+1/ (n+1)(n+1)] x [nn/xn] |
p= |x| limx->inf nn/(n+1)(n+1)...
So. There's this question about power series that will eventually take the form of
p= |x| lim n->inf | nn / (n+1)(n+1) |
But of course, in a futile attempt at a solution I tried doing the derivative for both functions. Didn't get anywhere of course.
Knowing that eventually the answer...
Ohh. So that's how that formula came about.
Hmm. I actually used W= -nCvΔT? It worked sufficiently, in a surprising way.
But I was wondering how, since V1 and V2 are obviously not the same and Cv is the heat capacity at constant volume?
Thanks for the reply though. Really helpful.
Thermodynamics: Cyclic Processes (solved)
Sorry for the false alarm guys. It looked like I did use the wrong equation while finding the internal energy for case 1.
referred to this. Thanks.
https://www.physicsforums.com/showthread.php?t=412577
Given that
1 mol of ideal monoatomic gas at p= 1...
The length of the track would be just that as mentioned by kuruman, since that is the exact track used in this experiment.
I didn't do the measuring for the apparatus personally, aside from handling the stopwatch and glider my partners did the rest, but I'll be matching up data with members...
Actually we used a wooden block to provide inclination? I'm afraid that I should have included that in the description, apologies; We just measured the height gain provided by the wooden block. Which was effectively 0.29 m.edit: Assuming that h is the problem, altering h to be smaller as in...
h is the maximum height of the inclined plane from the ground
while d being the length of the whole plane.
In terms of trigonometry it's expressed as sin Ө= 0.29/1.983
Homework Statement
[edit]: In case anyone didn't get a clear picture, in a nutshell the experiment involves us releasing a glider down an air track within a fixed distance x, where the time, t taken is then recorded down. Sorry for not mentioning this before if it's of any use.
To determine...
Hey thanks for the reply guys.
Anyway I failed to mention that I am also taking Physics I along with Calculus II this semester? I'll see how well I adapt to it.
This thread will be a booster to my confidence. Surely.
I'll update my status after my semester closes.
@chickenwing71: I did pretty...