Question Number 116087 by Eric002 last updated on 30/Sep/20 $${soit}\:{f}\:{la}\:{fonction}\:{d}\acute {{e}finie}\:{sur}\left[\mathrm{0},\mathrm{2}\right]\:{par}\: \\ $$$${f}\left({x}\right)=\mathrm{3}\:\:\:{si}\:{x}\in\left[\mathrm{0},\mathrm{2}\right]\cap\mathbb{Q} \\ $$$${f}\left({x}\right)=\mathrm{1}\:\:\:{si}\:{x}\in\left[\mathrm{0},\mathrm{2}\right]\cap\mathbb{R}\backslash\mathbb{Q} \\ $$ Commented by Henri Boucatchou last updated on 01/Oct/20…
Question Number 50549 by Gulay last updated on 17/Dec/18 $$\mathrm{3}\left(\mathrm{x}−\mathrm{3}\right)+\mathrm{5}=\mathrm{4x}−\left(\mathrm{x}+\mathrm{4}\right) \\ $$$$\mathrm{sir}\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$$$ \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 17/Dec/18 $$ \\…
Question Number 50547 by Pk1167156@gmail.com last updated on 17/Dec/18 Answered by behi83417@gmail.com last updated on 17/Dec/18 $$\mathrm{35}+\mathrm{2}\left({xy}+{yz}+{zx}\right)=\mathrm{1} \\ $$$$\Rightarrow{xy}+{yz}+{zx}=−\mathrm{17}\Rightarrow{xy}=−\mathrm{17}−{z}\left({y}+{x}\right) \\ $$$$\left({x}+{y}\right)\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} −{xy}\right)+{z}^{\mathrm{3}} =\mathrm{97} \\…
Question Number 181603 by SANOGO last updated on 27/Nov/22 $${calcul}\:\:\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}{U}_{{n}} : \\ $$$${U}_{{n}} =\frac{\mathrm{1}}{{n}}\left({E}\left(\sqrt{{n}+\mathrm{1}}\:−{E}\left(\sqrt{{n}}\:\right)\right.\right. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 116061 by MWSuSon last updated on 30/Sep/20 $$\mathrm{Kent}\:\mathrm{Mark}\:\mathrm{is}\:\mathrm{running}\:\mathrm{for}\:\mathrm{class}\:\mathrm{president}. \\ $$$$\mathrm{Assume}\:\mathrm{that}\:\mathrm{there}\:\mathrm{are}\:\mathrm{a}\:\mathrm{total}\:\mathrm{of}\:\mathrm{n}\:\mathrm{ca}− \\ $$$$\mathrm{ndidates}\:\mathrm{running},\:\mathrm{where}\:\mathrm{n}\:\mathrm{is}\:\mathrm{a}\:\mathrm{natu}− \\ $$$$\mathrm{ral}\:\mathrm{number}. \\ $$$$\mathrm{After}\:\mathrm{the}\:\mathrm{votes}\:\mathrm{are}\:\mathrm{tallied},\:\mathrm{Kent}\:\mathrm{Mark} \\ $$$$\mathrm{is}\:\mathrm{told}\:\mathrm{only}\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{of}\:\mathrm{votes}\:\mathrm{that}\:\mathrm{he} \\ $$$$\mathrm{recieved}. \\ $$$$\mathrm{Suppose}\:\mathrm{he}\:\mathrm{recieved}\:\mathrm{less}\:\mathrm{than}\:\frac{\mathrm{1}}{\mathrm{n}}\:\mathrm{of}\:\mathrm{the} \\…
Question Number 181599 by CrispyXYZ last updated on 27/Nov/22 $${f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{strictly}\:\mathrm{monotonic}\:\mathrm{function}\:\mathrm{in}\:\mathrm{its}\:\mathrm{domain}\:\left(\mathrm{0},\:+\infty\right) \\ $$$$\mathrm{such}\:\mathrm{that}\:\forall{x}>\mathrm{0},\:{f}\left({f}\left({x}\right)−\frac{\mathrm{1}}{{x}}\right)=\mathrm{2}. \\ $$$$\mathrm{Find}\:{f}\left({x}\right). \\ $$ Answered by mr W last updated on 27/Nov/22 $${f}\left({x}\right)−\frac{\mathrm{1}}{{x}}={t}…
Question Number 116051 by Hassen_Timol last updated on 30/Sep/20 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{modulus}\:\mathrm{and}\:\mathrm{the}\:\mathrm{argument} \\ $$$$\mathrm{of}\:\:\:\mathrm{1}+{i}\left(\mathrm{1}+\sqrt{\mathrm{2}}\right)\:\:? \\ $$ Answered by Dwaipayan Shikari last updated on 30/Sep/20 $$\mathrm{z}=\mathrm{1}+\mathrm{i}\left(\mathrm{1}+\sqrt{\mathrm{2}}\right) \\ $$$$\mid\mathrm{z}\mid=\sqrt{\mathrm{1}+\mathrm{1}+\mathrm{2}+\mathrm{2}\sqrt{\mathrm{2}}}=\sqrt{\mathrm{4}+\mathrm{2}\sqrt{\mathrm{2}}}\:…
Question Number 181572 by amin96 last updated on 26/Nov/22 $$ \\ $$$$\mathrm{2}\:\boldsymbol{\Delta}\:\mathrm{5}=\mathrm{49} \\ $$$$\mathrm{3}\:\boldsymbol{\Delta}\:\mathrm{4}=\mathrm{36} \\ $$$$\mathrm{4}\:\boldsymbol{\Delta}\:\mathrm{5}=\mathrm{81} \\ $$$$\mathrm{5}\:\boldsymbol{\Delta}\:\mathrm{5}=? \\ $$$$ \\ $$ Terms of Service…
Question Number 181570 by SANOGO last updated on 26/Nov/22 $$\left.{prove}\:{that}:{x}\epsilon\right]−\mathrm{1},\mathrm{1}\left[\right. \\ $$$$\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{{x}^{{n}} }{{n}}=−{ln}\left(\mathrm{1}−{x}\right) \\ $$ Answered by mr W last updated on 27/Nov/22…
Question Number 116024 by mohammad17 last updated on 30/Sep/20 $$\int\:{tan}^{\mathrm{3}} \mathrm{2}{xdx} \\ $$ Answered by bemath last updated on 30/Sep/20 $$=\:\frac{\mathrm{1}}{\mathrm{2}}\int\:\mathrm{tan}\:\left(\mathrm{2}{x}\right)\left(\mathrm{sec}\:^{\mathrm{2}} \mathrm{2}{x}−\mathrm{1}\right)\:{d}\left(\mathrm{2}{x}\right) \\ $$$$=\:\frac{\mathrm{1}}{\mathrm{2}}\left[\:\int\:\mathrm{tan}\:\left(\mathrm{2}{x}\right)\:{d}\left(\mathrm{tan}\:\left(\mathrm{2}{x}\right)\right]\:−\int\:\frac{\mathrm{sin}\:\left(\mathrm{2}{x}\right)}{\mathrm{cos}\:\left(\mathrm{2}{x}\right)}\:{d}\left(\mathrm{2}{x}\right)\right. \\…