Calculate the Fourier series of the periodic function depicted in the figure below. f(x) 0.8 0.6 0.4 0.2 0 1 i -8 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7 8 x
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- The function in the figure below is only non-zero for –1.5Please provide the solution and correct answer and box the final answer/s. Express answer (nonterminating or repeating decimal) using 10 digits as seen in your scientific calculator.3. Find the complex Fourier series of the function f(x) shown below. f(x)=x_ 0≤x≤27 and_ƒ(x+27)=f(x). Evaluate the coefficients up to +9. Write the function as a sum of the first +9 harmonic terms with the appropriate coefficients. n =Please box the final answer/s. Express answer (nonterminating or repeating decimal) using 10 digits as seen in your scientific calculator.5F. Please see pictureQ3. (a) Write down the function corresponding to the graph given below. Is the function even or odd or neither even nor odd? 3 -3 3 3 (b) Write the Fourier series for the function defined in part (a)Consider the following. -2 SxS -1, (x) -7x, -1Find the Fourier series of the function f(x) f(x)=x+|x| (-π<x<π) i- Tell the function continous or discontinous. ii- What is period and range of function? iii- Which formula is used for this function?Determine the Fourier coefficients and represent the periodic function as shown by a Fourier series.Recommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage