Hello, can someone have a crack at this Fourier series problem please? Find the

Question

Hello, can someone have a crack at this Fourier series problem please?

Find the fourier series for the function, and show the computations for the constants 'a' and 'b' of the series

f(t) = { 0 -pi < t < 0

{ t 0 <= t <= pi

PART 2: This part I would understand if you can't do, but I thought I should put it anyway incase someone actually knows how to do it!

Using Matlab, plot the resulting series for n=1,3,5,7,9, and 11 for t = -4 to 4

Show each plot separately for every 'n', with the original function f(t) and the series (summed up to 'n') superimposed on the same plot. Use two different colors.

N.B: you will find that as 'n' increases the series will converge to f(t)

Explanation / Answer

USing the following formulae:

we get a0 = pi/2

an = -2

bn = 2t

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