Recent content by nickclarson

To make it work since the constant is \frac{1}{\sigma \sqrt{2 \pi}} I need the integral to equal \sigma \sqrt{2 \pi} for it to equal 1

So basically, it ends up like: I^2 = \frac{1}{\sigma \sqrt{\pi}} \int dx \int e^{- \frac{(x- \mu )^2}{2 \sigma ^2} - y^2} dy But now I'm having trouble with the substitution. Would my substitution look like this? y = \frac{(x- \mu )}{2 \sigma} s dy = \frac{(x- \mu )}{2...

Homework Statement Prove that the integral of the Guassian Distribution converges to 1: \int_{- \infty}^{\infty} \frac{1}{\sigma \sqrt{2 \pi}} e^{- \frac{(x- \mu )^2}{2 \sigma ^2}} dx = 1 Homework Equations none The Attempt at a Solution So I get that I can pull the constants out for the...

CANCEL that. I just had the wrong sign. I understand why it should be negative now. This thread can be deleted.

Homework Statement A straight segment of a current-carrying wire has a current element IL where I = 2.70 A and L = 2.60 cm i + 4.40 cm j. The segment is in a region with a uniform magnetic field given by 1.36 T i. Find the force on the segment of wire. (Give the x, y, and z components.)...

even though I didn't use my engine why didn't I feel g-forces? I was still moving away from the other person in the same fashion as they were moving away from me. Why did they feel g-forces and I didn't? Does it have to do with the space around us? I must be missing something huge... ahh...

Ok so I know the basics of relativity but I keep thinking of one situation that keeps confusing me. Lets say you and one other person are in empty space with nothing else around you. That person uses their "engine" to accelerate away from you at light speed for some distance then turns around...

x is above sin as it approaches 0 from the positive side. However when I plug sin(1/x)ln(x) and ln(x)/x into my calculator ln(x)/x is always below... hmm

\frac{lnn}{n} is smaller, so if it converges so does ln(n)sin\frac{1}{n} that correct? Otherwise it's the other way around. What's the best method for deciding which is smaller?

then I would say something like: n\rightarrow\infty \; sin\frac{1}{n} = \frac{1}{n} then I can do the integral test of: b_{n} = \frac{ln(n)}{n} I could be way off though, but is that what you were getting at?

Does ln(n)sin(1/n) converge or diverge? Homework Statement \sum_{n=1}^{\infty}ln(n)sin\frac{1}{n} Homework Equations - The Attempt at a Solution Not even sure where to start... was thinking comparison test, but if you choose b_{n} = ln(n) you end up with...

yea I have the area of the wire and the modulus... I just need help figuring out which equation to use. Thanks, Nick

I have been looking all over for an equation to find the work done on a steel string that is stretched L meters. "Find the work needed to stretch the string." I know it has variable forces so I was thinking I could use elastic potential U=\frac{kx^{2}}_{2} but now I have the problem...

I wouldn't keep bumping this thread until your attachment has been approved. ;)

I came up with: v=\frac{(M+m)v_{r}}{M+2m} but it gives me the wrong answer. Not sure what else to do, I swear that equation is correct. I even derived it and compared it to a similar problem in our book and it was very similar! The only difference is that it is asking for the...