Question

Could you help me with problem 6? I need precise explanation

1. Write a minimum two page paper on series. Make sure you cite your work at the end of your paper. history and formulation and process of Fouriern 2.Find the Fourier series of the function f(x)= -I, -T < I <a where f(r+2) f(x). Graph the progression of your terms that approach the function. Something like what we did in class; graph one term of the serics, then the first two terms, then three and so one. I'd say 4-5 terms should give you a good idea. C J3. Find the Fourier series of the function f(x) = -x, -1 < x < 1 where f(z+ 2) f(x). Graph part 2 as 4. Show that if f(x) is an even function, the Fourier scries for f will not have any sine terms. 5.Show that if f(x) is an odd function, the Fourier series for f will not have any cosine terms and the constant term will be zero. 6. Describe Gibbs phenomenon and show it in your graphs in problems 2 and 3. 7. Connect Fourier series to Fourier transform. 8. List some of application of Fourier scries (transform).

Answer 1

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