(5) Sketch each function and determine its Fourier series. Let f(x)=x, where 1
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Q: 04-Obtain the Fourier series of the function : f (x) = x,(-II < x < II)
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Q: (b) f(x) - eª, -<< *.
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Q: What happens to this base function and why? a(x)= x2
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- Please provide Handwritten answer. a) Graph the function. b) Determine its fundamental period. c) Obtain the expression for the Fourier series. d) Explain your reasoning for choosing the Fourier series expression that used.Consider the following equation defining the function f on the integers implicitly: f(n) = n+ f(n – 1), where f(1) = 1. Show that f(n) = n(n + 1).B/ Find the Fourier series of the function f (X) = x + n within the range -T < xQ1: Find Fourier series of the following function: < x < 0 f(x) = 1 0 < x < : 2 2 2use fourier series and develop as a function of cosines and sines5. Find the Fourier Series of the function: S0, -T1) Use Bisection to find a root of the function f(x) = ln x-2 on the interval [7, 8] to within 1 decimal place. Organize the results of all the calculations in the table below. You don't need to write down more than 5 decimal places. f(a.) C₁ ƒ (c₁) b₁ f(b) a₁ Half Interval LengthPlease do #5Q1: Find the fourier expension of the periodic function whose defination in one period is: 0SEE MORE QUESTIONSRecommended 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,