Find the Fourier series of f(x) uestion 1 1) If f(x)= x,-2
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Q: O1-. Find the Fourier series for the function:_ f(x) = 4 – x2 - 2 < x < 2
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![Find the Fourier series of f(x)
uestion 1
1) If f(x)= x,-2 ≤ x < 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffee9be42-6d6b-4158-a3d2-9b864caffdda%2Ff22451c4-36fc-4212-99e5-a3b64172a5e0%2Fpivs3hm_processed.jpeg&w=3840&q=75)
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- Find the trigonometric Fourier series for the function f(x): [-π/2, π/2] → R given by the expression: f(x) = ²2 FS(x) FS(x) = sinh n π FS(x) = FS(x)=sinh 7|1+2 2 sinh n T (-1)^ + Σn=1 n²+1 (-1)" inh 71 2n=1 n²+1 sin T π 1 + ΣΩ + -(cos 2nx (-1)" n=1 n²+1 + ΣΩ sin 2nx) -(cos 2nx + n sin 2nx) (cos 2nx n sin 2nx (-1)" (cos 2nx n+1 >] -n sin 2nx) 2nx)].#2 fourier series of period 2l(b) Using the answer to Part (a) and without using Theorem 2.2.4, find the real Fourier series of the function f(x) = -2x 2r-8 if 0 < x < 2 if 2 < x < 4 and f(x+4)=f(x).
- 2) Find the Fourier Series. Sketch the graph of the function for 3 Periods. x, -1find the Fourier series of this 2-perodic function.If f(x) = (n - x)2, find the Fourier series of period 2n in the interval (0,27) and hence evaluate+ %3D 12Recommended 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,