Ex. 6. Show that f[S()] dx={(a* +b;) where a, & b are Fourier coefficients of Fourier series expansion of periodic function f defined in [-7.7] (This is known as Parseval's Identity )
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- 1 - Find the Fourier series for F(X)=x², [0,1] 2- Represent F(x)=x, [0,2] is Fourier series.I need part B pleaseb) The following function f(x) is periodic with period T = 27. Sketch the function over - 47 ≤ x ≤ 47 and determine whether it is odd, even or neither. Then, use the Fourier series expansion to represent the functions. f(x)= -6; forQ/Determine the Fourier expansions of the periodic functions whose definitions in one period are: f1 + t 7 f(t) = -1WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = for -Id) Write the corresponding Fourier series of f (x). A periodic function of f (x) is given by [0, f(x)={-x-7, f(x+27). - T < x < 0, 0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,