Recent content by hpayandah

I was finally able to solve my problem. By the way from the two y points there is infinite line of charge in the z-axis. Here is my answer:

Homework Statement Looking at the picture I have attached the problem is very straight forward. In the denominator of the equations I have posted the teacher uses 2\Pi but the book uses 4\Pi. Can someone please explain to me why is that. Homework Equations Book's equation: Teacher's...

Homework Statement Can someone please verify if I am solving this equation right. Homework Equations Please refer to attachment. The Attempt at a Solution Please refer to attachment.

Thank you I got it now. Thanks

I tried your suggestion, however I didn't come to a good end (maybe I did something wrong). Please take a look at the attached file; this is my re-attempt.

The thing is I don't know what to do with that 2^2 in the equation, it throws me off. I'll re-post a picture this time everything together.

Homework Statement Find the interval of convergence of each of the following Ʃ^{∞}_{n=0} (\frac{3^{n}-2^{2}}{2^{2n}}(x-1)^{n}) Homework Equations Please refer to attachment The Attempt at a Solution Please refer to attachment. All I want to know is that I'm doing this problem...

Thank you for quick reply. Okay now I understand that the proof is not sufficient. Can I instead use the fact that you said -1 < sin(1/n) < 1 and the graph shows this: Graph attached. can I say since \frac{sin(1/n}{\sqrt{n}} < \frac{1}{\sqrt{n}} then use the p-series to show convergence or...

Homework Statement Ʃ^{∞}_{n=1} \frac{sin(1/n}{\sqrt{n}} Homework Equations The Attempt at a Solution lim_{n→∞} \frac{sin(1/n}{\sqrt{n}}= lim_{n→∞} \frac{-2cos(1/n)}{n^{3/2}} with l'hospital rule = 0 since lim_{n→∞}=0 therefore the series is convergent Do you think I did this...

The proff didn't give any range for y. So by don't explicitate you mean I should keep it the way it is?

Homework Statement Find the general solution of the differential equation y'=4t-ty^2 Homework Equations y'=4t-ty^2 The Attempt at a Solution I 'think' this question is pretty straight forward but I'm still not sure if I did it right or not. I have two question. One till the last step...

Hi, thanks for replying. Attached is how I got my vectors, do you think my steps are correct.

Homework Statement I think my teacher made a mistake in his homework answer. I need to verify this for practice. The answer I got is below. The answer the teacher has is in the pdf. Homework Equations Please refer to attached pdf The Attempt at a Solution So there is two...

Appreciated.

Hi, Thanks for replying, it's the result of: (X2 . F1) / (||F1||2) Attached is my work.