Question Number 203941 by Panav last updated on 02/Feb/24 $$\boldsymbol{{If}}\:\boldsymbol{{a}}^{\mathrm{2}\:} −\boldsymbol{{a}}+\mathrm{2}=\mathrm{0}\:\boldsymbol{{and}}\:\boldsymbol{{x}}^{\mathrm{2}} =\boldsymbol{{a}}^{\mathrm{6}} +\mathrm{2}\boldsymbol{{a}}^{\mathrm{4}} +\boldsymbol{{a}}^{\mathrm{2}} \:\boldsymbol{{then}}\:\boldsymbol{{find}}\:\boldsymbol{{x}}? \\ $$$$\boldsymbol{{IIT}}−\boldsymbol{{JEE}}\:\boldsymbol{{based}}\:\boldsymbol{{question}}.\:\boldsymbol{{Find}}\:\boldsymbol{{sol}}^{\boldsymbol{{n}}} . \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 203909 by Davidtim last updated on 01/Feb/24 $${prove}\:{that}\:\:\:\mathrm{0}^{{n}} =\mathrm{0}\:\:\:,\:\:\:\:{n}>\mathrm{0} \\ $$ Answered by Mathspace last updated on 01/Feb/24 $$\mathrm{0}^{{n}} ={lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:{x}^{{n}} \\…
Question Number 203910 by Davidtim last updated on 01/Feb/24 $${if}\:\:\:{y}=\left(\mathrm{1}−{x}\right)\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)\centerdot\centerdot\centerdot\left({n}−{x}\right) \\ $$$${y}^{'} =? \\ $$ Answered by mr W last updated on 01/Feb/24 $${y}=\underset{{k}=\mathrm{1}} {\overset{{n}}…
Question Number 203911 by Davidtim last updated on 01/Feb/24 $${if}\:\mathrm{11}^{\mathrm{800}} \:{divide}\:{by}\:\mathrm{9}\:{what}\:{will}\:{be}\:{the}\: \\ $$$${remainder}? \\ $$ Answered by AST last updated on 01/Feb/24 $$\mathrm{11}^{\mathrm{800}} \equiv\mathrm{2}^{\mathrm{800}} =\left(\mathrm{2}^{\mathrm{6}}…
Question Number 203875 by MathedUp last updated on 31/Jan/24 $$\mathrm{Hmmm}…..\:\mathrm{I}\:\mathrm{have}\:\mathrm{one}\:\mathrm{Question}. \\ $$$${f}\left({t}\right)\in{C}^{\infty} \:,\:\left\{{C}_{\:} ^{\boldsymbol{\alpha}} \:\mathrm{mean}\:\mathrm{can}\:\mathrm{derivate}\:\boldsymbol{\alpha}\:\mathrm{times}.\right\} \\ $$$$\mathrm{where}\:{t}\in\mathbb{R}\:,\:\mathrm{Can}\:{f}\left({t}\right)\:\:\mathrm{integrable}\:\mathrm{when}\:{S}\in\mathbb{R}\backslash\left\{\mathbb{Q}\right\}?? \\ $$$$\mathrm{Ex}.\:\mathrm{integral}\:\int_{\mathrm{1}} ^{\:{e}} \:\mathrm{ln}\left({z}\right)\mathrm{d}{z}\:{S}\in\left[\mathrm{1},{e}\right]\: \\ $$$$\mathrm{But}\:\mathrm{Except}\:\mathbb{Q}\:\mathrm{in}\:\mathrm{set}\:{S}\:\mathrm{like}..\:{S}^{'} ={S}\backslash\left\{\mathbb{Q}\right\}\: \\…
Question Number 203822 by 073 last updated on 29/Jan/24 Answered by esmaeil last updated on 29/Jan/24 $$\mathrm{1}:\frac{\mathrm{1}}{{x}}={p}\overset{{x}\rightarrow\infty\rightarrow{p}\rightarrow\mathrm{0}} {\rightarrow}\left[\frac{{x}+\mathrm{1}}{{x}}\right]=\left[{p}+\mathrm{1}\right)=\mathrm{1}\rightarrow \\ $$$$\Omega=\underset{{p}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sinp}}{{p}}=\mathrm{1} \\ $$ Answered by…
Question Number 203800 by Bayat last updated on 28/Jan/24 Answered by esmaeil last updated on 28/Jan/24 $${just}\:{put}\:{zero}\:{instead}\:{of}\:{x} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 203782 by esmaeil last updated on 27/Jan/24 $${Does}\:{a}\:{circle}\:{have}\:{side}? \\ $$$$ \\ $$ Commented by Rasheed.Sindhi last updated on 28/Jan/24 $${No}\:{sides}\:{or}\:\:{infinity}\:{sides},\:{I}\:{think}. \\ $$$${Before}\:{this}\:{question}\:{we}\:{should} \\…
Question Number 203705 by SANOGO last updated on 26/Jan/24 $$\underset{{n}=\mathrm{0}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{2}{n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by witcher3 last updated on 26/Jan/24 $$\mathrm{decomposition}…
Question Number 203690 by yaslm last updated on 26/Jan/24 Answered by Frix last updated on 26/Jan/24 $$=\frac{\mathrm{1}}{\mathrm{3}}\int\frac{{x}+\mathrm{1}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}−\frac{\mathrm{1}}{{x}+\mathrm{1}}{dx} \\ $$$$\mathrm{Should}\:\mathrm{be}\:\mathrm{easy}\:\mathrm{now} \\ $$ Terms of Service…