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Question-184175




Question Number 184175 by mnjuly1970 last updated on 03/Jan/23
Answered by SEKRET last updated on 03/Jan/23
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Commented by SEKRET last updated on 03/Jan/23
  why. the  picture    uploaded  is  not     visible.
$$\:\:\boldsymbol{\mathrm{why}}.\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{picture}}\:\:\:\:\boldsymbol{\mathrm{uploaded}}\:\:\boldsymbol{\mathrm{is}}\:\:\boldsymbol{\mathrm{not}} \\ $$$$\:\:\:\boldsymbol{\mathrm{visible}}. \\ $$$$ \\ $$
Commented by HeferH last updated on 03/Jan/23
You need to press ••• and select “attach image”   if you do it inside a file (“insert drawing”    option) it will not show.
$${You}\:{need}\:{to}\:{press}\:\bullet\bullet\bullet\:{and}\:{select}\:“{attach}\:{image}'' \\ $$$$\:{if}\:{you}\:{do}\:{it}\:{inside}\:{a}\:{file}\:\left(“{insert}\:{drawing}''\:\right. \\ $$$$\left.\:{option}\right)\:{it}\:{will}\:{not}\:{show}.\: \\ $$
Commented by SEKRET last updated on 04/Jan/23
tkanks sir
$$\boldsymbol{\mathrm{tkanks}}\:\boldsymbol{\mathrm{sir}} \\ $$
Answered by TheSupreme last updated on 03/Jan/23
⌊x⌋sin^2 (x)  is continue in R−Z  ∀x∈R−N  (df/dx)=2⌊x⌋sin(x)cos(x)=0 → x=k(π/2) ∀k∈Z  x_(crit) = k (π/2)
$$\lfloor{x}\rfloor{sin}^{\mathrm{2}} \left({x}\right)\:\:{is}\:{continue}\:{in}\:\mathbb{R}−\mathbb{Z} \\ $$$$\forall{x}\in\mathbb{R}−\mathbb{N} \\ $$$$\frac{{df}}{{dx}}=\mathrm{2}\lfloor{x}\rfloor{sin}\left({x}\right){cos}\left({x}\right)=\mathrm{0}\:\rightarrow\:{x}={k}\frac{\pi}{\mathrm{2}}\:\forall{k}\in\mathbb{Z} \\ $$$${x}_{{crit}} =\:{k}\:\frac{\pi}{\mathrm{2}} \\ $$

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