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- How can one find the Fourier series of f(x)=x^3 -(pi^2)*x based on knowing the cosine Fourier series for f(x)=x? I first did it using the x series in sines and integrating it twice, and that comes out easily, but can't understand how to do it starting with the cosines version of f(x)=x, which is given as x =pi/2 + sum [(2[-1^n)-1] cos(nx)/(pi*n^2)]Problem 4: Determine the Fourier series for the periodic function of period 2.7 defined by: f(1) = || The function has a period of 2.7 1-cos 31 NIK 0, when -< t < 0 1, when 09. If f(x) = {0 when 7/2Can you show how exactly to solve these using separation of variables and Fourier Series?solve using fourier series and integral for partsThe values of a period 2x function f(t) in one full period are given. Sketch several periods of its graph and find its Fourier series. 1(0)=81²³.-*515* Sketch several periods of its graph. Choose the correct graph below. OA O.B. AD AND C Find its Fourier series. 500- (Type a series using n as the index variable and 1 as the starting index. Type an exact answer, usings as needed. Use parentheses to denote the summand. Use parentheses to clearly de argument of each function)Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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