Q2. Given Fourier series f(x) = = = 2% + (an cos + bn sin. ....
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ηπχ Q2. Given Fourier series f(x) = = = 2% + Σ(an cos + bn sin. ηπχ. P P Derive the formulas for the coefficients an & bn As given below in (9,10,11). DEFINITION 11.2.1 Fourier Series The Fourier series of a function f defined on the interval (-p, p) is given by do n TT n TT f(x): +2(a₂ -x + b₁, sin (x). (8) n=1 Р Р wh S f(x) dx (9) P ²,500 (10) (11) ao = a₁ = b₁ an cos f(x) cos - 11²,56 NTT P NTT Р f(x) sin X x dx x dx. ηπχ Q2. Given Fourier series f(x) = = = 2% + Σ(an cos + bn sin. ηπχ. P P Derive the formulas for the coefficients an & bn As given below in (9,10,11). DEFINITION 11.2.1 Fourier Series The Fourier series of a function f defined on the interval (-p, p) is given by do n TT n TT f(x): +2(a₂ -x + b₁, sin (x). (8) n=1 Р Р wh S f(x) dx (9) P ²,500 (10) (11) ao = a₁ = b₁ an cos f(x) cos - 11²,56 NTT P NTT Р f(x) sin X x dx x dx.
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