(a) Without actually finding the series, state what terms you would expect to find in the Fourier...

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(a) Without actually finding the series, state what terms you would expect to find in the Fourier series for the following periodic functions of period 2π:

(i) f(t)= sin't, I

(ii) f(t)=3e', (ii) f(t)= 1, < < 0 0

(b) Find, up to and including the term in cos 4t, the Fourier half-range cosine series for the function defined by

f(t) = Jt, 0

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