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(b) Assuming the Fourier series of is given by
where is the half period. Complete the steps below:
(i) Determine the Fourier coefficient . Enter EXACT value:

Ask by Tran Mullins. in the United Kingdom
Mar 28,2025

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The Deep Dive

To determine the Fourier coefficient for the function , we use the formula:
This coefficient represents the average value of the function over one period. To compute , you would evaluate the integral and then divide by . Remember, is specified as the half period. Therefore, for the full period from to , the result gives a solid basis for understanding the function’s behavior in its Fourier representation! Don’t forget that the function’s properties (like symmetry) can simplify your calculations significantly!

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