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![a) Expand the given function in a Fourier series in the range of [
-47,47 ]
f(x)=(
10<x<π
sin(x)\n<x<2n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d3945ee-d888-4a5f-bf1f-9dea4bc0b596%2F51388b0f-7a1a-424e-9c4a-487f63d8083b%2Fd3j1b5p_processed.jpeg&w=3840&q=75)
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- 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 =Consider f(x) = sin(x²). Is the function even, odd or neither, and which conse- quence does the answer have for its Fourier series?Prove that f(x)={-3x if -pi<x<0, 3x if 0<x<pi is an even function using fourier series expansion.
- 4. Express the f(x)=1+x function as a Fourier series in the interval of -T5) If f(x)= x?; f (x +4)=f (x) b. The coefficient n in this Fourier series is : 2 (-1)". (na) (-1)** . (na) (-1)- cos d) 2 a) b) 0 c)Consider the following. -2 SxS -1, (x) -7x, -1(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).Asap5) a) Construct a Fourier Series for f(x) = (x² - 0x)for 0 < x < 3t b) Briefly explain the application of half – range Fourier series in your SpecializationRecommended 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,