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Q: 4: Using appropriate Fourier series, Show that 4 -cos x=-sin 2x+sin 4x + 15 2 6. sin 6x+..... 35 4 3
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A: The solution is given as
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Q: 2. (a) Find Fourier Series representation of the function with period 2 defined by f(t)= sin (t/2).
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Q: (b) Use the result from (a) to find the eract sum of the infinite series 1 1 1 +. 16 4 9.
A:
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- How can one find the Fourier series of f(x)=x^3 -(pi^2)*x based on knowing the cosine Fourier series for f(x)=x? I first did it using the x series in sines and integrating it twice, and that comes out easily, but can't understand how to do it starting with the cosines version of f(x)=x, which is given as x =pi/2 + sum [(2[-1^n)-1] cos(nx)/(pi*n^2)]Problem 4: Determine the Fourier series for the periodic function of period 2.7 defined by: f(1) = || The function has a period of 2.7 1-cos 31 NIK 0, when -< t < 0 1, when 09. If f(x) = {0 when 7/2Recommended textbooks for youCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
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