Question Number 211528 by mnjuly1970 last updated on 12/Sep/24 $$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:{tanh}^{−\mathrm{1}} \:\left({x}^{\mathrm{2}} \:\right)}{{x}^{\:\mathrm{2}} }\:{dx}=\:?\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$…
Question Number 211529 by MrGaster last updated on 12/Sep/24 $$\mathrm{known}:\boldsymbol{{x}}+\boldsymbol{\mathrm{y}}=\mathrm{3},\mathrm{ask}: \\ $$$$\boldsymbol{\mathrm{min}}\left(\sqrt{\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{1}}+\sqrt{\boldsymbol{\mathrm{y}}\mathrm{2}−\mathrm{4}}\right)=? \\ $$ Answered by MrGaster last updated on 12/Sep/24 $$\mathrm{1}.\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)=\sqrt{\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{1}}+\sqrt{\left(\mathrm{3}+\boldsymbol{{x}}\right)^{\mathrm{2}} −\mathrm{4}}…
Question Number 211531 by MrGaster last updated on 12/Sep/24 $$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{{x}}^{\mathrm{2}} }{\boldsymbol{\mathrm{sinh}}\left(\boldsymbol{{x}}\right)^{\mathrm{2}} }\boldsymbol{{dx}}. \\ $$ Answered by Frix last updated on 13/Sep/24 $$\underset{\mathrm{0}} {\overset{\infty}…
Question Number 211524 by Tawa11 last updated on 12/Sep/24 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}:\:\:\:\mathrm{x}^{\mathrm{x}} \:\:=\:\:\mathrm{4x} \\ $$ Answered by Frix last updated on 12/Sep/24 $$\mathrm{We}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate}. \\ $$$${x}\approx.\mathrm{183193} \\ $$$${x}\approx\mathrm{2}.\mathrm{50781}…
Question Number 211558 by mnjuly1970 last updated on 12/Sep/24 $$ \\ $$$$ \\ $$$$\:\:\:\:\:−−−−−−−−−−−− \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\Omega}=\:\underset{\boldsymbol{{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{1}}{\mathrm{3}\boldsymbol{{n}}+\mathrm{2}}\:−\frac{\mathrm{1}}{\mathrm{3}\boldsymbol{{n}}+\mathrm{1}}\:\right)=\:\boldsymbol{{a}\pi} \\ $$$$\:\:\:\:\:\:\:\Rightarrow\:\:\boldsymbol{{a}}^{\mathrm{2}} =\:? \\ $$$$\:\:\:\:\:\:\:−−−−−−−−−−−− \\ $$…
Question Number 211552 by Saqibraza last updated on 12/Sep/24 $$\frac{\mathrm{3}}{\boldsymbol{{x}}−\mathrm{6}}−\frac{\mathrm{4}}{} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 211513 by Davidtim last updated on 11/Sep/24 $${why}\:{we}\:{use}\:{Ampier}\:{meter}\:{sequence} \\ $$$${with}\:{resistance}\:{in}\:{circuit}? \\ $$ Commented by Frix last updated on 11/Sep/24 $$\mathrm{Because} \\ $$$$\mathrm{Ohm}=\frac{\mathrm{Volt}}{\mathrm{Ampere}} \\…
Question Number 211515 by Davidtim last updated on 11/Sep/24 $${for}\:{example}\:{I}\:{say}\:{Bob}\:{is}\:{born}\:{in} \\ $$$$\mathrm{1900}{s},\:{there}\:{the}\:{symbol}\:{of}\:\left({s}\right)\:{means} \\ $$$${century}.\:{what}\:{kind}\:{of}\:{word}\:{it}\:{taken} \\ $$$${from}? \\ $$ Commented by Frix last updated on 11/Sep/24…
Question Number 211508 by MATHEMATICSAM last updated on 11/Sep/24 $$\mathrm{If}\:\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }\:+\:\sqrt{\mathrm{1}\:−\:{y}^{\mathrm{2}} }\:=\:{a}\left({x}\:−\:{y}\right)\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{dy}}{{dx}}\:=\:\sqrt{\frac{\mathrm{1}\:−\:{y}^{\mathrm{2}} }{\mathrm{1}\:−\:{x}^{\mathrm{2}} }\:}\:. \\ $$ Commented by Frix last updated on 11/Sep/24…
Question Number 211509 by RojaTaniya last updated on 11/Sep/24 Answered by A5T last updated on 11/Sep/24 $$\frac{\mathrm{6}{a}+{b}}{\mathrm{6}{c}+{d}}={k}=\frac{\mathrm{5}{a}+{b}}{\mathrm{5}{c}+{d}} \\ $$$$\Rightarrow\mathrm{6}{a}+{b}=\mathrm{6}{ck}+{dk}…\left({i}\right);\mathrm{5}{a}+{b}=\mathrm{5}{ck}+{dk}…\left({ii}\right) \\ $$$$\left({i}\right)−\left({ii}\right)\Rightarrow{a}={ck};\mathrm{6}\left({ii}\right)−\mathrm{5}\left({i}\right)\Rightarrow{b}={dk} \\ $$$$\mathrm{7}{a}+{b}=\mathrm{8}\left(\mathrm{7}{c}+{d}\right)\Rightarrow\mathrm{7}{ck}+{dk}=\mathrm{8}\left(\mathrm{7}{c}+{d}\right) \\ $$$$\Rightarrow{k}=\frac{\mathrm{8}\left(\mathrm{7}{c}+{d}\right)}{\mathrm{7}{c}+{d}}=\mathrm{8}…