Recent content by homad2000

I believe i should add the 2 pi, because we use w = 2 * pi * f Thank you for your help, I appreciate it :)

Ok, correct me if I'm wrong: I got F{y(t)} = x(-ω) ? or should I add the 2π to that?

Homework Statement if y(ω) = F{x(t)}, what is F{y(t)} (F is the Fourier transform operation)Homework Equations non The Attempt at a Solution I tried finding F^-1{y(ω)}, which is equal too x(t), but I could not go on with finding F{y(t)}

I got the argument to be pi*(ω2-ω1/4ω1 ... I could use the cosine rule to get the argument, however, I got a complicated result! I don't know if I'm on the right track!

well, assuming that we write the functions on a complex form, we get F(t) = Ae^(iω1t) and G(t) = Ae^(iω2t). And by the way, it is given that ω1<w2 .. so, at the given t, the first argument is pi/2, the second one is not exact, but it's bigger than pi/2.. so, F(t) + G(t) is sum of two vectors...

Homework Statement What are the phasors F(t) and G(t) corresponding to the following functions: f(t) = Acosω1t and g(t) = Acosω2t Draw the phasors on Argand diagram as well as F(t)+G(t) at t = \pi/(2ω1) and from the diagram get f(t)+g(t) as a cosine identity in the simplest form...

aaaah! thanks for the help!

Homework Statement show that: I tried changing the form to the sin and cos, but I couldn't complete it.. Any hints?

:) hahah, i wasnt thinking that way! anyways, thank you very much!

great! I got: a(n) = a + (n^2 - n ) / 2 * d ! any hints how to start solving the second part?

why? if we want to get for example the 4th term, it's the third term + (4-1)d = (a+3d) + 3d = a+6d ?

OK, I see how this series working, the nth term can be found like this: a(n) = a(n-1) + (n-1)d but how about the sum of the series?

Homework Statement consider the series: a + (a+d) + (a+3d) + (a+6d) + (a+10d) + (a+15d) ... find a formula for nth term, and the sum of the first n terms. Homework Equations I think, it is similar to the Fibonacci series. The Attempt at a Solution well, I tried rearange and...

hello, can anyone help me with this question! http://img855.imageshack.us/i/img0401m.jpg/

using the identity:\Gamma(x) \Gamma(1-x) = \pi / sin(pi *x)