Question Number 91390 by mr W last updated on 30/Apr/20 $${ABCDEF}\:{is}\:{a}\:\mathrm{6}\:{digit}\:{number}, \\ $$$${ABC}\:{and}\:{DEF}\:{are}\:\mathrm{3}\:{digit}\:{numbers}. \\ $$$${find}\:{ABCDEF}\:\:{satisfying}: \\ $$$$\left.\mathrm{1}\right)\:\:\:{ABCDEF}=\mathrm{1}×{ABC}×{DEF} \\ $$$$\left.\mathrm{2}\right)\:\:\:{ABCDEF}=\mathrm{2}×{ABC}×{DEF} \\ $$$$\left.\mathrm{3}\right)\:\:\:{ABCDEF}=\mathrm{3}×{ABC}×{DEF} \\ $$$$\left.\mathrm{4}\right)\:\:\:{ABCDEF}=\mathrm{4}×{ABC}×{DEF} \\ $$$$\left.\mathrm{5}\right)\:\:\:{ABCDEF}=\mathrm{5}×{ABC}×{DEF}…
Question Number 156927 by MathSh last updated on 17/Oct/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\underset{\:\mathrm{0}} {\overset{\:\mathrm{5}} {\int}}\:\frac{\left(\mathrm{1}\:-\:\mathrm{x}\right)\centerdot\mathrm{x}^{\boldsymbol{\mathrm{n}}+\mathrm{4}} }{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{3}\boldsymbol{\mathrm{n}}} }\:\mathrm{dx}\:=\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 25853 by ibraheem160 last updated on 17/Dec/17 $${simplify}:\:\mathrm{3}^{{x}} +\mathrm{4}^{{x}} \:=\mathrm{5}^{{x}} \\ $$$${anybody}\:{to}\:{solve}\:{this} \\ $$ Commented by Rasheed.Sindhi last updated on 15/Dec/17 $$\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}}…
Question Number 156921 by cortano last updated on 17/Oct/21 $${x}^{\mathrm{3}} −\mathrm{4}{x}^{\mathrm{2}} −\mathrm{3}=\mathrm{0} \\ $$$$\:{x}\in\mathbb{R} \\ $$ Answered by mr W last updated on 17/Oct/21 $${path}\:\mathrm{1}:…
Question Number 156923 by MathSh last updated on 17/Oct/21 $$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} {\int}}\mathrm{x}\:\mathrm{log}\:\left(\mathrm{1}\:+\:\mathrm{tan}\boldsymbol{\mathrm{x}}\right)\:\mathrm{dx}\:=\:? \\ $$ Answered by mindispower last updated on 18/Oct/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {xln}\left({cos}\left({x}\right)\right){dx}={a}…? \\…
Question Number 91378 by jagoll last updated on 30/Apr/20 Commented by jagoll last updated on 30/Apr/20 $${i}\:{have}\:{no}\:{idea}\:{to}\:{solve}\:{this}\: \\ $$$${question} \\ $$ Commented by MJS last…
Question Number 156909 by MathSh last updated on 16/Oct/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{n}\:-\:\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\frac{\left(\mathrm{e}\:-\:\mathrm{1}\right)\centerdot\mathrm{n}}{\mathrm{n}\:+\:\left(\mathrm{e}\:-\:\mathrm{1}\right)\centerdot\mathrm{k}}\right)\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 91377 by A8;15: last updated on 30/Apr/20 Commented by Tony Lin last updated on 30/Apr/20 $$\int\frac{\mathrm{1}}{\:\sqrt{{sinx}}}{dx} \\ $$$$=\int\frac{\mathrm{1}}{\:\sqrt{{cos}\left({x}−\frac{\pi}{\mathrm{2}}\right)}}{dx} \\ $$$$=\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \left(\frac{\mathrm{2}{x}−\pi}{\mathrm{4}}\right)}}{dx} \\ $$$${let}\:\frac{\mathrm{2}{x}−\pi}{\mathrm{4}}={u},\:\frac{{du}}{{dx}}=\frac{\mathrm{1}}{\mathrm{2}}…
Question Number 156911 by MathSh last updated on 17/Oct/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\left(\left[\mathrm{nx}\right]\:\centerdot\:\mid\mathrm{x}\:-\:\left[\mathrm{x}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mid\right]\right)\mathrm{dx} \\ $$$$\left[\ast\right]\:-\:\mathrm{GIF} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 156905 by JSM last updated on 16/Oct/21 $${find}\:{the}\:{value}\:{of}\:{x}\:{and}\:{y},\:{x}:\mathrm{3}:\mathrm{5}=\mathrm{8}:{y}:\mathrm{9} \\ $$ Answered by Rasheed.Sindhi last updated on 16/Oct/21 $$\mathrm{9}{x}:\mathrm{27}:\mathrm{45}=\mathrm{40}:\mathrm{5}{y}:\mathrm{45} \\ $$$$\mathrm{9}{x}=\mathrm{40}\Rightarrow{x}=\frac{\mathrm{40}}{\mathrm{9}} \\ $$$$\mathrm{5}{y}=\mathrm{27}\Rightarrow{y}=\frac{\mathrm{27}}{\mathrm{5}} \\…