Question Number 152418 by Olaf_Thorendsen last updated on 30/Aug/21 $$\boldsymbol{\mathrm{Anecdote}}\:\boldsymbol{\mathrm{historique}} \\ $$$$ \\ $$$$\left({une}\:{vraie}\:{anecdote}\:{confirm}\acute {{e}e}\:{par}\right. \\ $$$$\left.{les}\:{historiens}\right). \\ $$$$ \\ $$$$\mathrm{Au}\:\mathrm{XVIII}\grave {{e}me}\:\mathrm{si}\grave {\mathrm{e}cle},\:\mathrm{Voltaire}\:\mathrm{est}\:\mathrm{parti} \\ $$$$\mathrm{aupr}\grave…
Question Number 86878 by jagoll last updated on 01/Apr/20 $$\mathrm{If}\:\mathrm{sin}\:^{\mathrm{10}} \:\left(\mathrm{x}\right)\:+\:\mathrm{cos}\:^{\mathrm{10}} \:\left(\mathrm{x}\right)\:=\:\frac{\mathrm{11}}{\mathrm{36}} \\ $$$$\mathrm{find}\:\mathrm{sin}\:^{\mathrm{12}} \:\left(\mathrm{x}\right)\:+\:\mathrm{cos}\:\:^{\mathrm{12}} \left(\mathrm{x}\right)\:=\:? \\ $$ Commented by Prithwish Sen 1 last updated…
Question Number 21342 by xxyy@gmail.com last updated on 21/Sep/17 Answered by $@ty@m last updated on 23/Sep/17 $${Let}\:\mathrm{10}+\mathrm{log}_{\mathrm{10}} \left({x}\right)^{\mathrm{10}+\mathrm{log}_{\mathrm{10}} \left({x}\right)^{\mathrm{10}+….} } ={y} \\ $$$$\Rightarrow\mathrm{10}+\mathrm{log}\:_{\mathrm{10}} {x}^{{y}} ={y}\:\:−−\left(\mathrm{1}\right)…
Question Number 21341 by gopikrishnan005@gmail.com last updated on 21/Sep/17 $${the}\:{angle}\:{between}\:{the}\:{straight}\:{lines}\:{x}^{\mathrm{2}} +\mathrm{4}{xy}+\mathrm{3}{y}^{\mathrm{2}} =\mathrm{0}\:{is} \\ $$ Answered by mrW1 last updated on 21/Sep/17 $$\mathrm{x}^{\mathrm{2}} +\mathrm{4xy}+\mathrm{3y}^{\mathrm{2}} =\mathrm{0} \\…
Question Number 86874 by oustmuchiya@gmail.com last updated on 01/Apr/20 $${A}\:{businessman}\:{bought}\:\mathrm{300}\:{company}\:{shares}\:{at}\:\boldsymbol{\mathrm{K}}\mathrm{60}.\mathrm{00}.\:{The}\:{nominal}\:{price}\:{was}\:\boldsymbol{\mathrm{K}}\mathrm{30}.\mathrm{00}.\:{How}\:{much}\:{does}\:{he}\:{pay}\:{for}\:{the}\:{shares}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 86873 by oustmuchiya@gmail.com last updated on 01/Apr/20 $${A}\:{company}\:{paid}\:{a}\:{total}\:{dividend}\:{of}\:\boldsymbol{\mathrm{K}}\mathrm{12}\:\mathrm{600}.\mathrm{00}\:{at}\:{the}\:{end}\:{of}\:\mathrm{2018}\:{on}\:\mathrm{6000}\:{shares}.\:{If}\:{Freddy}\:{owned}\:\mathrm{200}\:{shares}\:{in}\:{the}\:{company},\:{how}\:{much}\:{was}\:{paid}\:{out}\:{in}\:{dividents}\:{to}\:{him}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 86871 by john santu last updated on 01/Apr/20 $$\int\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated on 01/Apr/20 $${complex}\:{method}\:{I}\:=\int\:\:\frac{{dx}}{\left({x}^{\mathrm{4}}…
Question Number 152407 by imjagoll last updated on 28/Aug/21 Answered by Olaf_Thorendsen last updated on 28/Aug/21 $${f}\left({x},{y}\right)\:=\:\frac{\left({x}+{y}\right)\mathrm{sec}\left({x}+{y}\right)−{x}\mathrm{sec}{x}}{{y}} \\ $$$${f}\left({x},{y}\right)\:=\:\frac{\frac{{x}+{y}}{\mathrm{cos}\left({x}+{y}\right)}−{x}\mathrm{sec}{x}}{{y}} \\ $$$${f}\left({x},{y}\right)\:=\:\frac{\frac{{x}+{y}}{\mathrm{cos}{x}\mathrm{cos}{y}−\mathrm{sin}{x}\mathrm{sin}{y}}−{x}\mathrm{sec}{x}}{{y}} \\ $$$${f}\left({x},{y}\right)\:\underset{{y}\rightarrow\mathrm{0}} {\sim}\:\frac{\frac{{x}+{y}}{\mathrm{cos}{x}−{y}\mathrm{sin}{x}}−{x}\mathrm{sec}{x}}{{y}} \\…
Question Number 152396 by mathdanisur last updated on 28/Aug/21 $$\mathrm{If}\:\:\mathrm{x}^{\mathrm{3}} -\mathrm{x}+\mathrm{3}=\mathrm{0}\:\:\mathrm{has}\:\mathrm{the}\:\mathrm{roots}\:\:\mathrm{a};\mathrm{b}\:\:\mathrm{and}\:\:\mathrm{c} \\ $$$$\mathrm{determine}\:\mathrm{the}\:\mathrm{monic}\:\mathrm{polynomial}\:\mathrm{with} \\ $$$$\mathrm{the}\:\mathrm{roots}\:\:\mathrm{a}^{\mathrm{5}} \:;\:\mathrm{b}^{\mathrm{5}} \:\:\mathrm{and}\:\:\mathrm{c}^{\mathrm{5}} \:. \\ $$ Answered by mindispower last updated…
Question Number 152393 by Olaf_Thorendsen last updated on 28/Aug/21 $$\mathrm{Quels}\:\mathrm{sont}\:\mathrm{les}\:\mathrm{deux}\:\hat {\mathrm{a}ges}\:? \\ $$$$ \\ $$$$\mathrm{J}'\mathrm{ai}\:\mathrm{deux}\:\mathrm{fois}\:\mathrm{l}'\hat {\mathrm{a}ge}\:\mathrm{que}\:\mathrm{vous}\:\mathrm{aviez} \\ $$$$\mathrm{quand}\:\mathrm{j}'\mathrm{avais}\:\mathrm{l}'\hat {\mathrm{a}ge}\:\mathrm{que}\:\mathrm{vous}\:\mathrm{avez}. \\ $$$$\mathrm{Quand}\:\mathrm{vous}\:\mathrm{aurez}\:\mathrm{l}'\hat {\mathrm{a}ge}\:\mathrm{que}\:\mathrm{j}'\mathrm{ai},\:\mathrm{nous} \\ $$$$\mathrm{aurons}\:\grave {\mathrm{a}}\:\mathrm{nous}\:\mathrm{deux}\:\mathrm{63}\:\mathrm{ans}.…