(c) f(x) = cos² (3x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part C
Transcribed Image Text:### Fourier Series Exercises
1. **Find the Fourier series:**
**(a)** \( f(x) = 3 \sin(2x) - 5 \cos(7x) + \cos(8x) \)
**(c)** \( f(x) = \cos^2(3x) \)
For each function \( f(x) \), determine the Fourier series representation within the defined interval. This process involves decomposing the function into a series of sines and cosines, revealing the constituent frequencies, amplitudes, and phases contributing to the original function.
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