Question Number 150259 by mathdanisur last updated on 10/Aug/21 $$\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\:\frac{\mathrm{e}^{−\boldsymbol{\mathrm{st}}} \left(\mathrm{cosh}\left(\mathrm{2t}\right)−\mathrm{cosh}\left(\mathrm{5t}\right)\right)\mathrm{dt}}{\mathrm{t}}=? \\ $$ Answered by Ar Brandon last updated on 10/Aug/21 $${I}\left({s}\right)=\int_{\mathrm{0}} ^{\infty}…
Question Number 84711 by M±th+et£s last updated on 15/Mar/20 Commented by mr W last updated on 15/Mar/20 $${x}\lceil{x}\left[{x}\right]\rceil=\mathrm{35}\:\Rightarrow\:{no}\:{solution}! \\ $$$$ \\ $$$${x}\left[{x}\left[{x}\right]\right]=\mathrm{35}\:\Rightarrow\:{solution}\:{x}=\mathrm{3}.\mathrm{5} \\ $$ Commented…
Question Number 150247 by mathdanisur last updated on 10/Aug/21 $$\underset{\:\mathrm{2}} {\overset{\:\mathrm{6}} {\int}}\:\left(\mathrm{x}-\mathrm{1}\right)\left(\mathrm{x}-\mathrm{2}\right)\left(\mathrm{x}-\mathrm{3}\right)…\left(\mathrm{x}-\mathrm{9}\right)\:\mathrm{dx}\:=\:? \\ $$$$\left.\mathrm{a}\left.\right)\left.\mathrm{1}\left.\:\left.\:\:\:\:\mathrm{b}\right)\mathrm{0}\:\:\:\:\:\mathrm{c}\right)\mathrm{6}!\:\:\:\:\:\mathrm{d}\right)-\mathrm{2}\:\:\:\:\mathrm{e}\right)\mathrm{4}! \\ $$ Commented by amin96 last updated on 10/Aug/21 $$\int_{\mathrm{2}} ^{\mathrm{6}}…
Question Number 19171 by gourav~ last updated on 06/Aug/17 $${log}_{\sqrt{\mathrm{2}}} \:\sqrt{\mathrm{2}\sqrt{\mathrm{2}\sqrt{\mathrm{2}\sqrt{\mathrm{2}\:\:\:\:}}}} \\ $$ Commented by gourav~ last updated on 06/Aug/17 $${find}\:{value} \\ $$ Answered by…
Question Number 150231 by Lekhraj last updated on 10/Aug/21 Answered by Ar Brandon last updated on 10/Aug/21 $${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{3}^{{x}} +\sqrt{\mathrm{3}}} \\ $$$$\Rightarrow{f}\left(\mathrm{1}−{x}\right)=\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{1}−{x}} +\sqrt{\mathrm{3}}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{3}^{{x}} }{\mathrm{3}+\mathrm{3}^{{x}}…
Question Number 19135 by gourav~ last updated on 05/Aug/17 $${solve}\:{for}\:{x}: \\ $$$$\mathrm{2}^{\mid{x}+\mathrm{2}\mid} −\mid\mathrm{2}^{{x}+\mathrm{1}} −\mathrm{1}\mid=\mathrm{2}^{{x}+\mathrm{1}} +\mathrm{1} \\ $$ Answered by ajfour last updated on 05/Aug/17 $$\mathrm{x}+\mathrm{2}\geqslant\mathrm{0}\:\:\Rightarrow\:\:\mathrm{x}\geqslant−\mathrm{2}…
Question Number 19123 by 433 last updated on 05/Aug/17 $$\begin{cases}{\mathrm{xf}\left(\mathrm{x}\right)−\mathrm{g}\left(\mathrm{x}\right)+\mathrm{h}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{1}}\\{\mathrm{f}\left(\mathrm{x}\right)−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}\left(\mathrm{x}\right)−\mathrm{3h}\left(\mathrm{x}\right)=\mathrm{x}}\\{\mathrm{ln}\:\left(\mathrm{x}\right)\mathrm{f}\left(\mathrm{x}\right)−\left(\mathrm{x}−\mathrm{3}\right)\mathrm{h}\left(\mathrm{x}\right)=\mathrm{1}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{f}\left(\mathrm{x}\right),\mathrm{g}\left(\mathrm{x}\right),\mathrm{h}\left(\mathrm{x}\right) \\ $$ Answered by ajfour last updated on 05/Aug/17 $$\mathrm{x}\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{f}−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}+\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{h}=\left(\mathrm{2x}−\mathrm{2}\right)\left(\mathrm{2x}+\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{f}−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}−\mathrm{3h}=\mathrm{x} \\…
Question Number 150199 by mathdanisur last updated on 10/Aug/21 Commented by Rasheed.Sindhi last updated on 10/Aug/21 $$\mathrm{Is}\:\mathrm{x}+\mathrm{y}+\mathrm{z}=\pi?\:\mathrm{Are}\:\mathrm{x},\mathrm{y}\:\&\:\mathrm{z}\:\mathrm{the}\:\mathrm{angles} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{triangle}? \\ $$ Terms of Service Privacy…
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Question Number 150189 by mathdanisur last updated on 10/Aug/21 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\left(\mathrm{x}\:-\:\mathrm{3}\right)\:\sqrt{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{x}\:−\:\mathrm{2}}\:=\:\mathrm{0} \\ $$ Commented by Skabetix last updated on 10/Aug/21 $${x}=\mathrm{3}\:{or}\:{x}=\mathrm{2}\:{or}\:{x}=−\mathrm{1} \\ $$…