IDZ Ryabushko 12.3 Option 21
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Section: Chapter 12. Series
Topic: Fourier series of periodic functions
Description: Expansion of periodic functions into Fourier series on the interval [-π,π] and on an arbitrary interval. Expansion in cosines and sines for even and odd extensions. Application of Fourier series for summing numerical series.
Tasks:
1. Expand the periodic function f(x) with period ω = 2π, defined on the interval [–π; π], into a Fourier series.
2. Expand the function f(x) defined on the interval (0; π) into a Fourier series, continuing (extending) it in an even and odd way. Plot graphs for each extension.
3. Expand the periodic function f(x) with period ω = 2l into a Fourier series on the given interval.
4. Expand a function defined graphically into a Fourier series.
5. Using the Fourier series expansion of the function f(x) on the given interval, find the sum of the given numerical series.
The ready solution includes:
• Complete solution of all 5 tasks of the option
• Detailed explanations for each step
• All formulas and calculations
• Format of your choice: PDF or Word (editable)
• Available for download immediately after payment
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- Content type File
- Content description 117,94 kB
- Updated on the site 28.05.2024
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IDZ Ryabushko 12.3 Option 21
Cumulative discount
| 200 $ | the discount is 40% |
| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
Cumulative discount
| 200 $ | the discount is 40% |
| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
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