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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each of periodic motion. ( \( \omega \) is any positive constant)
\( \mathrm{P} \)
(i) \( \sin \omega t+\cos \omega t \).
(ii) \( \sin \omega t+\cos 2 \omega t+\sin 4 \omega t \)
(iii) \( \mathrm{e}^{-\omega t} \)
(iv) \( \log \omega t \).
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