# (a) Derive, in detail, the crucial formula (16). (b) By considering dC*/dc show that C* (? max...

## Question:

(a) Derive, in detail, the crucial formula (16).

(b) By considering dC*/dc show that C* (?_{max}) increase as c (__ ?2mk) decreases.__

(c) Illustrate practical resonance with an ODE of your own in which you vary c, and sketch or graph corresponding curves as in Fig. 57.

(d) Take your ODE with c fixed and an input of two terms, one with frequency close to the practical resonance frequency and the other not. Discuss and sketch or graph the output.

(e) Give other applications (not in the book) in which resonance is important.

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