Find the Fourier series representation of the periodic function below if m= 5.1 and k = 11.17. Then, evaluate the first few terms of the series up to n = 5 at x = 6.348. k f(x) = { h m if -4 < x <4 4
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- 1. Find the Fourier series of f(x) = x² F(-2)? - x defined for -2 ≤ x ≤ 2 if ƒ (x + 4). What is BONUS: Truncate the series to n = 3, 5, 10. Plot the 3 series in one graph. What is F(−2) for each?Find the Fourier series representation of the periodic function below if a = 5, b = 15, c = 2, and L = 4. Then, evaluate the first fewterms of the series up to n = 5 if x = 3.83a) Find the required Fourier series for the given function. (b) Sketch the function graph to which the series converges over three periods. Q34
- a. determine the Fourier coefficients. b. Write the corresponding series. c. Expand the Fourier series up to at least n = 5. d. Write the convergence of the series e. Use a graphing program to check that the Fourier series converges to the indicated functionGiven the below function and graph, determine the following. a. A Fourier series representation of the function. b. Write out the series explicitly with the first four terms after ao. 4, f(x) = { _x +4₁ -x 4, 3 2 1- −4 < x < 0 01. Find the Fourier cosine series for f(t)= |t| when -2 < t < 2 and extended periodically with period 4.13.) Find a power series for the function f(x) = = 5 2-6x3*Q2: Find the Fourier series corresponding to the function (-k -Pls helpBracket Manufacturing uses a Kanban system for a component. Daily demand is 1,100 units. Each container has a combined waiting and processing time of 0.65 days. If the container size is 100 and the alpha value (a) is 12%, how many Kanban card sets should be authorized? Round your answer up to the whole number. Kanban card set(s) What is the maximum authorized inventory? Use the rounded value from the previous question. Round your answer to the nearest whole number. unit(s)Find a power series representation for the function f(x) = 1- 23 O A. (-3)x"+2 O B. En-0 373n+2 O C. (-3)r3n+2 O D. (-3)r3nFind the Fourier series representation of the periodic function below if c = 9 and d = 18.7. Then, find the value of an if n = 7. с -6Recommended 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,