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Exponential Fourier Transforms

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Please see the attached file for the fully formatted problems.

In the two problems below find the exponential Fourier Transform of the given f(x) and write f(x) as a Fourier integral.

2)
2x+2a -a<x<0
f(x) = -2x+2a 0<x<a
0 |x|>a

The Fourier is of the type
(see attachment).

Please do this problem manually (without tables) and please show all work including integrations.

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Solution Summary

Exponential Fourier Transforms are investigated.

Solution Preview

Here is the solution for this assignment also see attachments.

Note that the convention for the Fourier transform is:

F[f(x)] = integral ...

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