Question Number 119538 by kailla last updated on 25/Oct/20 Commented by benjo_mathlover last updated on 25/Oct/20 $${bad}\:{image} \\ $$ Answered by joki last updated on…
Question Number 185054 by mnjuly1970 last updated on 16/Jan/23 $$ \\ $$$$\:\:\mathrm{I}{f}\:,\:\:\:{f}\left({x}\right)=\:\frac{{x}}{\lfloor\:{x}\:\rfloor}\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\:\:\:\mathrm{D}_{\:{f}} \:=?\left({domain}\right)\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{and}\:\:\:\:\:\:\:\:\:\:\mathrm{R}_{\:{f}\:} =\:?\:\left({range}\:\right) \\ $$ Answered by mahdipoor last updated…
Question Number 119490 by Ar Brandon last updated on 25/Oct/20 $$\mathrm{Let}\:{a}<\mathrm{c}<\mathrm{b}\:\mathrm{such}\:\mathrm{that}\:\mathrm{c}−{a}=\mathrm{b}−\mathrm{c}.\:\mathrm{If}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{is}\:\mathrm{a} \\ $$$$\mathrm{function}\:\mathrm{satisfying}\:\mathrm{the}\:\mathrm{relation} \\ $$$$\:\:{f}\left(\mathrm{x}+{a}\right)+{f}\left(\mathrm{x}+\mathrm{b}\right)={f}\left(\mathrm{x}+\mathrm{c}\right)\:\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\in\mathbb{R} \\ $$$$\mathrm{then}\:\mathrm{a}\:\mathrm{period}\:\mathrm{of}\:{f}\:\mathrm{is} \\ $$$$\left(\mathrm{A}\right)\:\left(\mathrm{b}−{a}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:\mathrm{2}\left(\mathrm{b}−{a}\right) \\ $$$$\left(\mathrm{C}\right)\:\mathrm{3}\left(\mathrm{b}−{a}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\mathrm{4}\left(\mathrm{b}−{a}\right) \\ $$ Terms of…
Question Number 185013 by Shrinava last updated on 15/Jan/23 Commented by a.lgnaoui last updated on 16/Jan/23 $${question}\:{inteligente} \\ $$$$\left({Clever}\:{question}\right) \\ $$ Commented by Shrinava last…
Question Number 119483 by Ar Brandon last updated on 24/Oct/20 $$\mathrm{Let}\:{a}>\mathrm{0}\:\mathrm{and}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{a}\:\mathrm{function}\:\mathrm{satisfying} \\ $$$$\:\:\:\:\:{f}\left(\mathrm{x}+{a}\right)=\mathrm{1}+\left[\mathrm{2}−\mathrm{3}{f}\left(\mathrm{x}\right)+\mathrm{3}{f}\left(\mathrm{x}\right)^{\mathrm{2}} −{f}\left(\mathrm{x}\right)^{\mathrm{3}} \right]^{\mathrm{1}/\mathrm{3}} \\ $$$$\mathrm{for}\:\mathrm{all}\:\mathrm{x}\in\mathbb{R}.\:\mathrm{Then}\:\mathrm{a}\:\mathrm{period}\:\mathrm{of}\:{f}\left(\mathrm{x}\right)\:\mathrm{is}\:{ka}\:\mathrm{where}\:{k}\:\mathrm{is} \\ $$$$\mathrm{a}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{whose}\:\mathrm{value}\:\mathrm{is} \\ $$$$\left(\mathrm{A}\right)\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{C}\right)\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\mathrm{4} \\ $$ Answered by…
Question Number 53912 by Mikael_Marshall last updated on 27/Jan/19 $$\begin{cases}{\mathrm{2}^{{x}} −\mathrm{2}^{{y}} =\mathrm{1}}\\{\mathrm{4}^{{x}} −\mathrm{4}^{{y}} =\frac{\mathrm{5}}{\mathrm{3}}}\end{cases} \\ $$ Answered by byaw last updated on 27/Jan/19 $$\mathrm{2}^{{x}} =\mathrm{1}+\mathrm{2}^{{y}}…
Question Number 184980 by Shrinava last updated on 15/Jan/23 $$\sqrt{\mathrm{7}}\:\:+\:\:\sqrt{\mathrm{6}}\:\:=\:\:\mathrm{a} \\ $$$$\sqrt{\mathrm{7}}\:−\:\sqrt{\mathrm{6}}\:=\:? \\ $$ Answered by SEKRET last updated on 15/Jan/23 $$\:\:×\:\begin{cases}{\sqrt{\mathrm{7}}\:+\:\sqrt{\mathrm{6}}\:\:=\:\boldsymbol{\mathrm{a}}}\\{\sqrt{\mathrm{7}}\:\:−\:\sqrt{\mathrm{6}}\:\:=\:\boldsymbol{\mathrm{x}}}\end{cases} \\ $$$$\:\:\:\boldsymbol{\mathrm{ax}}=\:\mathrm{1} \\…
Question Number 53901 by byaw last updated on 27/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Jan/19 $${Tylist}\:\:\:{duration}/{day}\:\:\:\:\:{total}\:{days}\:\:{total}\:{time} \\ $$$$\:\:\:\:\:\:\mathrm{6}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}{hrs}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{16}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}×\mathrm{16}{hrs} \\ $$$$\:\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{6}{hrs}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{6}×{x}\:{hrs} \\ $$$${man}\:{power}\propto\frac{\mathrm{1}}{{total}\:{time}} \\ $$$$\left({M}.{P}\right)×\left({T}.{T}\right)={constsnt}…
Question Number 53902 by mr W last updated on 27/Jan/19 $${How}\:{many}\:{zeros}\:{and}\:{how}\:{many}\:{ones} \\ $$$${are}\:{there}\:{in}\:{the}\:{numbers}\:{from}\:\mathrm{1}\:{to} \\ $$$$\mathrm{9999}? \\ $$$${Example}:\:{in}\:{the}\:{number}\:\mathrm{1010}\:{there} \\ $$$${are}\:\mathrm{2}\:{zeros}\:{and}\:\mathrm{2}\:{ones}. \\ $$ Commented by tanmay.chaudhury50@gmail.com last…
Question Number 53877 by Mikael_Marshall last updated on 26/Jan/19 $$\mathrm{2}×\mathrm{4}^{{x}+\mathrm{2}} −\mathrm{5}×\mathrm{4}^{{x}+\mathrm{1}} −\mathrm{3}×\mathrm{2}^{\mathrm{2}{x}+\mathrm{1}} −\mathrm{4}^{{x}} =\:\mathrm{20} \\ $$ Commented by Abdo msup. last updated on 27/Jan/19 $${let}\:{put}\:\mathrm{4}^{{x}}…