Question Number 160283 by HongKing last updated on 27/Nov/21 Commented by amin96 last updated on 27/Nov/21 $$ \\ $$i solved it. The solution is in…
Question Number 94742 by I want to learn more last updated on 20/May/20 Commented by I want to learn more last updated on 20/May/20 $$\mathrm{1}.\:\:\:\mathrm{let}\:\:\mathrm{A}\:\:=\:\:\left(\mathrm{a}_{\mathrm{ij}}…
Question Number 160282 by HongKing last updated on 27/Nov/21 $$\mathrm{Find}:\:\:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\boldsymbol{\mathrm{b}}} {\mathrm{lim}}\:\frac{\mathrm{b}^{\boldsymbol{\mathrm{x}}} \:-\:\mathrm{x}^{\boldsymbol{\mathrm{b}}} }{\mathrm{x}\:-\:\mathrm{b}} \\ $$ Answered by puissant last updated on 27/Nov/21 $$=\underset{{x}\rightarrow{b}} {\mathrm{lim}}\frac{{ln}\left({b}\right){b}^{{x}} −{bx}^{{b}−\mathrm{1}}…
Question Number 29196 by mathshooter last updated on 05/Feb/18 $$\mathrm{Let}\:\mathrm{s}\:=\:\mathrm{n}_{\mathrm{c}_{\mathrm{1}} } \:−\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{2}} } \:+\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{3}} } \\ $$$$+…….+\left(−\mathrm{1}\right)^{\mathrm{n}−\mathrm{1}} \left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+….+\frac{\mathrm{1}}{\mathrm{n}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{n}} } \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{s}×\mathrm{n}\:=\mathrm{1}. \\ $$ Terms of…
Question Number 29184 by ANTARESVY last updated on 05/Feb/18 $$\begin{cases}{\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{xy}}}+\sqrt{\boldsymbol{\mathrm{y}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{\mathrm{xy}}+\mathrm{9}}=\mathrm{10}}\\{\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}=\mathrm{7}}\end{cases} \\ $$$$\boldsymbol{\mathrm{How}}\:\boldsymbol{\mathrm{many}}\:\:\boldsymbol{\mathrm{real}}\:\boldsymbol{\mathrm{roots}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{equtions}}\:\boldsymbol{\mathrm{system}}? \\ $$ Answered by mrW2 last updated on 05/Feb/18…
Question Number 160259 by HongKing last updated on 26/Nov/21 $$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\left(-\mathrm{1}\right)^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:\frac{\mathrm{1}\centerdot\mathrm{4}\centerdot…\centerdot\left(\mathrm{3n}-\mathrm{2}\right)}{\mathrm{7}\centerdot\mathrm{9}\centerdot…\centerdot\left(\mathrm{2n}+\mathrm{5}\right)}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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}…