Question Number 160254 by rexford last updated on 26/Nov/21 Answered by qaz last updated on 26/Nov/21 $$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{2}\left(\frac{\mathrm{4}}{\mathrm{5}^{\mathrm{i}} }\right)=\frac{\mathrm{8}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{5}}}=\mathrm{10} \\ $$ Terms of Service…
Question Number 29176 by sinx last updated on 04/Feb/18 $$\int{sec}\:{x}\:{dx}=? \\ $$ Commented by abdo imad last updated on 08/Feb/18 $${another}\:{method}\:\:{let}\:{put}\:{I}=\int\:\frac{{dx}}{{cosx}}\:{the}\:{ch}.{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}=\:\int\:\:\frac{\mathrm{1}}{\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}} }}\:\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 160246 by mathlove last updated on 26/Nov/21 Answered by Rasheed.Sindhi last updated on 26/Nov/21 $$\mathrm{af}\left(\mathrm{x}\right)+\mathrm{bf}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=\frac{\mathrm{1}}{\mathrm{x}}………….\left(\mathrm{i}\right) \\ $$$$\mathrm{Replacing}\:\mathrm{x}\:\mathrm{by}\:\frac{\mathrm{1}}{\mathrm{x}} \\ $$$$\mathrm{af}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)+\mathrm{bf}\left(\mathrm{x}\right)=\mathrm{x}…………….\left(\mathrm{ii}\right) \\ $$$$\left(\mathrm{i}\right)×\mathrm{a}\::\:\mathrm{a}^{\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)+\mathrm{abf}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=\frac{\mathrm{a}}{\mathrm{x}}…..\left(\mathrm{iii}\right) \\…
Question Number 94705 by s.ayeni14@yahoo.com last updated on 20/May/20 $$\mathrm{a}\:\mathrm{set}\:\mathrm{X}\:\mathrm{had}\:\mathrm{one}\:\mathrm{more}\:\mathrm{subset}\:\mathrm{than}\:\mathrm{set}\:\mathrm{Y}. \\ $$$$\mathrm{If}\:\mathrm{X}\:\mathrm{has}\:\mathrm{8}\:\mathrm{more}\:\mathrm{subsets}\:\mathrm{than}\:\mathrm{Y}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{if}\:\mathrm{element}\:\mathrm{in}\:\mathrm{the}\:\mathrm{set}\:\mathrm{X}. \\ $$ Commented by prakash jain last updated on 20/May/20 $$\mathrm{I}\:\mathrm{think}\:\mathrm{your}\:\mathrm{question}\:\mathrm{is}\:\mathrm{not} \\ $$$$\mathrm{correct}…
Question Number 29167 by abdo imad last updated on 04/Feb/18 $${let}\:{give}\:{S}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} {sin}\left(\frac{{k}\pi}{{n}}\right)\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \:\:\frac{{S}_{{n}} }{{n}}\:\:. \\ $$ Commented by abdo imad last updated on…
Question Number 29165 by abdo imad last updated on 04/Feb/18 $${give}\:{the}\:{factorization}\:{inside}\:{C}\left[{x}\right]\:{for} \\ $$$${p}\left({x}\right)=\:\:{x}^{\mathrm{4}} \:−\frac{\mathrm{1}−{i}\sqrt{\mathrm{3}}}{\mathrm{2}}\:\:. \\ $$ Commented by abdo imad last updated on 06/Feb/18 $${let}\:{find}\:{the}\:{roots}\:{lf}\:{p}\left({x}\right)\:{p}\left({z}\right)=\mathrm{0}\:\Leftrightarrow{z}^{\mathrm{4}}…
Question Number 29166 by abdo imad last updated on 04/Feb/18 $${simlify}\:{S}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:{k}\left(\mathrm{1}+{i}\right)^{{k}−\mathrm{1}} \:\:\:\:. \\ $$ Commented by abdo imad last updated on 06/Feb/18…
Question Number 160233 by HongKing last updated on 26/Nov/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 29164 by abdo imad last updated on 04/Feb/18 $${let}\:{put}\:\alpha=\:\mathrm{1}+{i}\sqrt{\mathrm{3}}\:\:\:\:\:{simlify} \\ $$$${A}_{{n}} =\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\:\alpha^{{k}} \:\:\:. \\ $$ Commented by abdo imad last updated…
Question Number 160235 by mr W last updated on 26/Nov/21 $${solve}\:\mathrm{3}^{{x}} +\mathrm{3}{x}=\mathrm{10} \\ $$ Answered by FongXD last updated on 26/Nov/21 $$\Leftrightarrow\:\mathrm{e}^{\mathrm{xln3}} =\mathrm{10}−\mathrm{3x} \\ $$$$\Leftrightarrow\:\left(\mathrm{10}−\mathrm{3x}\right)\mathrm{e}^{−\mathrm{xln3}}…