Reshebnik Ryabushko. Solved IDZ 12.3, Option 6
Replenishment date: 06.11.2018
Content: 6v-IDZ12.3.rar (68.17 KB)
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Description
1. Expand in a Fourier series the periodic (with period ω = 2π) function f (x) given on the interval [-π; π]
2. Expand in a Fourier series the function f (x), defined in the interval (0; π), continuing (defining) it in an even and odd way. Build graphs for each sequel.
2.6. f (x) = (x - 1) 2
3. Expand in a Fourier series in the indicated interval the periodic function f (x) with the period w = 2l
3.6. f (x) = x, 1 <x <3, l = 1
4. Expand the graphically specified function in a Fourier series.
5. Using the expansion of the function f (x) in a Fourier series in the specified interval, find the sum of this numerical series.
2. Expand in a Fourier series the function f (x), defined in the interval (0; π), continuing (defining) it in an even and odd way. Build graphs for each sequel.
2.6. f (x) = (x - 1) 2
3. Expand in a Fourier series in the indicated interval the periodic function f (x) with the period w = 2l
3.6. f (x) = x, 1 <x <3, l = 1
4. Expand the graphically specified function in a Fourier series.
5. Using the expansion of the function f (x) in a Fourier series in the specified interval, find the sum of this numerical series.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.