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Cutoff Frequency for a Wave Propagating in a Cylinder

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Please see the attached file for the fully formatted problems. I need some assistance understanding how to solve both parts a) and b). Any help would be appreciated.

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Solution Summary

This solution provides a detailed, step by step response which illustrates clearly how to solve for the "cut-off" frequency and critical frequency. All equations and expressions are included. In order to view the full solution, an attached Word document needs to be opened.

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