Question Number 157021 by MathSh last updated on 18/Oct/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\left(\boldsymbol{\mathrm{n}}\right)\:=\underset{\:\mathrm{1}} {\overset{\:\boldsymbol{\mathrm{n}}} {\int}}\left(\left[\mathrm{x}\right]^{\mathrm{2}} \centerdot\left\{\mathrm{x}\right\}\:+\:\left[\mathrm{x}\right]\centerdot\left\{\mathrm{x}\right\}^{\mathrm{2}} \right)\mathrm{dx} \\ $$$$\mathrm{n}\in\mathbb{N}\:\:;\:\:\left[\ast\right]-\mathrm{GIF}\:\:;\:\:\left\{\mathrm{x}\right\}=\mathrm{x}-\left[\mathrm{x}\right] \\ $$ Answered by ghimisi last updated…
Question Number 91491 by jagoll last updated on 01/May/20 $${x}^{\mathrm{3}} +\mathrm{1}\:=\:\mathrm{2}\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{2}{x}−\mathrm{1}} \\ $$$${x}\:=? \\ $$ Answered by MJS last updated on 01/May/20 $$\mathrm{obviously}\:{x}=\mathrm{1}\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution} \\ $$$$\left({x}^{\mathrm{3}}…
Question Number 91474 by Zainal Arifin last updated on 01/May/20 $$\mathrm{f}\left(\mathrm{x}\right)=\sqrt{\mathrm{4}−\mathrm{x}^{\mathrm{2}} }\:\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{3x}+\mathrm{1} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:,\:\mathrm{different},\:\mathrm{and}\:\mathrm{product} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 25937 by Mr eaay last updated on 16/Dec/17 $${For}\:{a}\:{certain}\:{amount}\:{of}\:{work},{Ade}\:{takes} \\ $$$$\mathrm{6}{hours}\:{less}\:{than}\:{Bode}.{if}\:{they}\:{work}\:{together} \\ $$$${it}\:{takes}\:{them}\:\mathrm{13}{hours}\:\mathrm{20}\:{minutes}.{How} \\ $$$${long}\:{will}\:{it}\:{take}\:{Bode}\:{alone}\:{to}\:{complete} \\ $$$${the}\:{work}? \\ $$ Answered by ajfour last…
Question Number 91470 by Zainal Arifin last updated on 01/May/20 $$\mid\mathrm{x}−\mathrm{3}\mid<\mathrm{0}.\mathrm{1} \\ $$ Commented by john santu last updated on 01/May/20 $$−\mathrm{0}.\mathrm{1}<{x}−\mathrm{3}<\mathrm{0}.\mathrm{1} \\ $$$$\Leftrightarrow\mathrm{2}.\mathrm{9}<{x}<\mathrm{3}.\mathrm{1} \\…
Question Number 91473 by A8;15: last updated on 01/May/20 Answered by MJS last updated on 01/May/20 $${x}^{\mathrm{4}} −\mathrm{22}{x}^{\mathrm{2}} +{x}+\mathrm{112}=\mathrm{0} \\ $$$$\mathrm{first},\:\mathrm{testing}\:\mathrm{all}\:\mathrm{factors}\:\mathrm{of}\:\pm\mathrm{112}=\pm\mathrm{2}^{\mathrm{4}} \mathrm{7} \\ $$$$\Rightarrow\:\mathrm{no}\:\mathrm{solution} \\…
Question Number 91471 by Zainal Arifin last updated on 01/May/20 $$\mid\mathrm{2x}−\mathrm{7}\mid>\mathrm{3} \\ $$ Answered by Rasheed.Sindhi last updated on 01/May/20 $$\mid\mathrm{2x}−\mathrm{7}\mid>\mathrm{3} \\ $$$$\mathrm{2}{x}−\mathrm{7}>\mathrm{3}\:\:\:\:\mid\:\:\:\:\:−\mathrm{2}{x}+\mathrm{7}>\mathrm{3} \\ $$$$\mathrm{2}{x}−\mathrm{7}>\mathrm{3}\:…
Question Number 157006 by amin96 last updated on 18/Oct/21 $$\sqrt{\mathrm{4}+\mathrm{27}\sqrt{\mathrm{4}+\mathrm{29}\sqrt{\mathrm{4}+\mathrm{31}\sqrt{\mathrm{4}+\ldots}}}}=? \\ $$$$ \\ $$ Answered by puissant last updated on 18/Oct/21 $${Sir}\:{use}\:{Ramanujan}\:{formula} \\ $$$${x}+\mathrm{4}=\sqrt{\mathrm{4}+{x}\sqrt{\mathrm{4}+\left({x}+\mathrm{2}\right)\sqrt{\mathrm{4}+\left({x}+\mathrm{4}\right)\sqrt{…..}}}} \\…
Question Number 91468 by A8;15: last updated on 01/May/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 91469 by Zainal Arifin last updated on 01/May/20 $$−\mathrm{5}<\frac{\mathrm{4}−\mathrm{3x}}{\mathrm{2}}<\mathrm{l} \\ $$ Commented by abdomathmax last updated on 01/May/20 $$\Leftrightarrow−\mathrm{10}<\mathrm{4}−\mathrm{3}{x}<\mathrm{2}\:\Leftrightarrow−\mathrm{14}<−\mathrm{3}{x}<−\mathrm{2}\Leftrightarrow \\ $$$$\mathrm{2}<\mathrm{3}{x}<\mathrm{14}\:\Leftrightarrow\frac{\mathrm{2}}{\mathrm{3}}<{x}<\frac{\mathrm{14}}{\mathrm{3}} \\ $$…