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- and the (N =14)You are given that the function if f - 7(2) Find the full Fourier series for the periodic function f : R → R defined by f(x) = 1+ |x| on the interval (-1,1) and then extended using f(x+ 2) = f(x) for all r.1)Determine S[f] (Fourier series) if: d) f(x)=ex+x ,x∈ [-1, 1] such that f(x) = f(x + 2)Consider f(t)=9+2t+6t², for -If f(x) is an even function on [-pi, pi], then the Fourier series of f is of of the form a0 + E-1 a, cos(jx) 2 A True В FalseIt Let f(t) be defined as f(t) = t 7L -Find the Fourier series for the function defined by (a) f(x) = –a, –π ≤ x < 0 and f(x) = a, 0 ≤ x ≤ π (a is a positive number); (d) f(x) = –1,–π ≤ x < 0 and f(x) = 2, 0 ≤ x ≤ π;Let -T < x < 0 0 < x < T. T + x, f(x) = { TT – x, (a) Find the Fourier series of f on (-n,7)Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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