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Periodicity

149 Y=asinwt-...

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149 Y=asinwt-bcoswt is a periodic function , SHM or non periodic function?

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Q. Assertion :Statement I: The function

f (x) = x sin x

f^{'} (x) = x cos x + sin x

are both non-periodic. Reason: Statement II: The derivative of a differentiable non-periodic function is a non-periodic function.

Q. Statement 1:

f (x) = cos (x^{2} - tan x)

is a non-periodic function
Statement 2:

x^{2} - tan x

is a non-periodic function

Q. Find if the following functions of time are
(a) Periodic but not SHM

f (x) = x - [x]

where [ ] shows a greatest integer. This function is

f (x) = x - [x]

where [ ] shows a greatest integer. This function is

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