Question Number 205173 by mr W last updated on 12/Mar/24 $${find} \\ $$$${S}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left({a}^{\mathrm{2}} +{n}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$ Commented by lepuissantcedricjunior last updated…
Question Number 205174 by universe last updated on 12/Mar/24 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left\{{x}^{\mathrm{1}/{x}} \right\}\:=\:?\:{where}\:\left\{.\right\}\:{is}\:{a}\:{fractional}\:{part}\:{of}\:{x} \\ $$ Answered by lepuissantcedricjunior last updated on 12/Mar/24 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left(\boldsymbol{{x}}\right)^{\frac{\mathrm{1}}{\boldsymbol{{x}}}} =\infty^{\mathrm{0}} =\boldsymbol{\mathrm{F}{I}}…
Question Number 205175 by BaliramKumar last updated on 12/Mar/24 Answered by Rasheed.Sindhi last updated on 12/Mar/24 $$\mathrm{413283P759387} \\ $$$$\bullet{Divide}\:{the}\:{number}\:{in}\:{groups}\:{of}\:\mathrm{3} \\ $$$${from}\:{right}\:{side} \\ $$$$\mathrm{4},\mathrm{132},\mathrm{83P},\mathrm{759},\mathrm{387} \\ $$$$\bullet{Apply}\:{subtraction}\:{and}\:{addition}…
Question Number 205200 by mathlove last updated on 12/Mar/24 $$\int_{\mathrm{1}} ^{\infty} \:\frac{{x}}{{x}^{\mathrm{3}} +{lnx}}\:{dx}=? \\ $$ Answered by mathzup last updated on 12/Mar/24 $${changement}\:{lnx}={t}\:{give} \\ $$$${I}=\int_{\mathrm{0}}…
Question Number 205184 by Simurdiera last updated on 12/Mar/24 $${Resuelve}\:{la}\:{siguiente}\:{ecuaci}\acute {{o}n}\:{diferencial} \\ $$$$\frac{{dx}}{{dy}}\:+\:{x}^{\mathrm{2}} \:=\:\frac{\mathrm{1}}{{y}^{\mathrm{4}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205203 by hardmath last updated on 12/Mar/24 $$\mathrm{If}\:\:\:\mathrm{x},\mathrm{y},\mathrm{z}>\mathrm{0}\:\:\:\mathrm{then}\:\mathrm{in}\:\:\:\bigtriangleup\mathrm{ABC}\:\:\:\mathrm{holds}: \\ $$$$\Sigma\:\:\frac{\mathrm{yz}}{\mathrm{h}_{\boldsymbol{\mathrm{a}}} ^{\mathrm{2}} }\:\:\leqslant\:\:\frac{\mathrm{R}^{\mathrm{2}} }{\mathrm{4F}^{\mathrm{2}} }\:\:\left(\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{z}\right)^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205164 by depressiveshrek last updated on 11/Mar/24 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{determinant}: \\ $$$$\begin{vmatrix}{\mathrm{1}−{x}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}−{x}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}−{x}}&{\ldots}&{{n}}\\{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\vdots}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}−{x}}\end{vmatrix} \\ $$ Answered by aleks041103 last updated on 12/Mar/24 $${By}\:{subtracting}\:{the}\:{first}\:{row}\:{from}\:{all}\:{other} \\ $$$$\begin{vmatrix}{\mathrm{1}−{x}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}−{x}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}−{x}}&{\ldots}&{{n}}\\{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\vdots}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}−{x}}\end{vmatrix}= \\…
Question Number 205160 by cortano12 last updated on 11/Mar/24 Answered by A5T last updated on 11/Mar/24 Commented by A5T last updated on 11/Mar/24 $${AG}=\sqrt{\mathrm{5}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}}…
Question Number 205161 by York12 last updated on 11/Mar/24 $$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{green}\:\mathrm{shaded}\:\mathrm{portions} \\ $$ Commented by York12 last updated on 11/Mar/24 Answered by mr W last updated…
Question Number 205163 by Lindemann last updated on 11/Mar/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{sin}\left({lnx}\right)}{{lnx}}{dx} \\ $$ Answered by mathzup last updated on 11/Mar/24 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{sin}\left({lnx}\right)}{{lnx}}{dx}\:{changement}\:{x}={e}^{−{t}} \\…