Question

I need in 3-4 hours. please atleast do 2-3 parts. will give a like 3. The function f() is periodic with period 2T, and is defined in the interval -T < x < T to be 0>x>- >x>0 where a is a positive constant. (i) Sketch f() for --3T < x < 3T. Is this function even or odd or neither? [4 marks] (ii) Find the Fourier series for f() [11 marks] (iii) By equating the values of the series and the original function at = Tr/2, show that 1 + 3 5 1 1 1 7 9 TT 1 4 [5 marks] (iv) By integrating the series and the original function with respect to x and setting = Tr/2, show that 1 1 1 1 TT2 72 92 8 [5 marks] In this question you may quote the standard results for the Fourier series and the Fourier coefficients in the form: [an cos(nx)+ bn sin(nx)] f(x) cos(nx)dx, n= f(x) sin(nx)dx(n>0) [Total: 25 marks]

          I need in 3-4 hours. please atleast do 2-3 parts. will give a
like
3. The function f() is periodic with period 2T, and is defined in the interval -T < x < T to be
0>x>- >x>0
where a is a positive constant.
(i) Sketch f() for --3T < x < 3T. Is this function even or odd or neither?
[4 marks]
(ii) Find the Fourier series for f()
[11 marks]
(iii) By equating the values of the series and the original function at  = Tr/2, show that
1 + 3 5
1 1 1 7 9
TT
1
4
[5 marks]
(iv) By integrating the series and the original function with respect to x and setting  = Tr/2, show that 1 1 1 1 TT2 72 92 8
[5 marks]
In this question you may quote the standard results for the Fourier series and the Fourier coefficients in the form:
[an cos(nx)+ bn sin(nx)]
f(x) cos(nx)dx,
n=
f(x) sin(nx)dx(n>0)
[Total: 25 marks]

i need in 3 4 hours please atleast do 2 3 parts will give a like 3 the function f is periodic with period 2t and is defined in the interval t x t to be 0x x0 where a is a positive constant i 71487

Added by Alison M.

Question

Please give Ace some feedback