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

Question: (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

(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:

(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

(i) f(t) = sint, -IE

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