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a) Fourier Series coefficients are given by the equations: a, = [ f (x) cosmx dx n =1, 2,. 3 ...etc b, = f (x)

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a) Fourier Series coefficients are given by the equations: a, = [" f (x) cosmx dx n =1, 2,. 3 ...etc b, = f (x) sin nx dx n =1, 2.. 3 ...etc Use the appropriate equations to show that the Fourier Series of an ODD function f(x) has NO Cosine terms, i.e. a,, coefficients = zero. (Explain all steps and assumptions made.) [4 marks] 11 Use the appropriate equations to show that the b,, coefficients are given by: bn = 2 S" f(x) sin(nx)dx ( Explain all steps and assumptions made.) [4 Marks)

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