Question Number 163741 by mathlove last updated on 10/Jan/22 Commented by Rasheed.Sindhi last updated on 10/Jan/22 $${What}\:{to}\:{do}? \\ $$ Commented by mathlove last updated on…
Question Number 163746 by HongKing last updated on 10/Jan/22 $$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{5y}^{\mathrm{2}} \:-\:\mathrm{4xy}\:+\:\mathrm{6y}\:+\:\mathrm{9}\:=\:\mathrm{0} \\ $$$$\mathrm{find}\:\:\mathrm{xy}=? \\ $$ Answered by nurtani last updated on 10/Jan/22 $${x}^{\mathrm{2}} +\mathrm{4}{y}^{\mathrm{2}}…
Question Number 98205 by I want to learn more last updated on 12/Jun/20 $$\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{nth}}\:\:\boldsymbol{\mathrm{term}}\:\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sequence}}\:\:\left\{\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} \right\}\:\:\boldsymbol{\mathrm{such}}\:\boldsymbol{\mathrm{that}} \\ $$$$\boldsymbol{\mathrm{a}}_{\mathrm{1}} \:\:=\:\:\mathrm{1},\:\:\:\:\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}\:\:+\:\:\mathrm{1}} \:\:=\:\:\frac{\mathrm{1}}{\mathrm{2}}\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} \:\:+\:\:\frac{\boldsymbol{\mathrm{n}}^{\mathrm{2}} \:−\:\mathrm{2}\boldsymbol{\mathrm{n}}\:\:−\:\:\mathrm{1}}{\boldsymbol{\mathrm{n}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{n}}\:\:+\:\:\mathrm{1}\right)^{\mathrm{2}} }\:\:\:\:\left(\boldsymbol{\mathrm{n}}\:\:=\:\:\mathrm{1},\:\:\mathrm{2},\:\:\mathrm{3},\:\:…\right) \\ $$…
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Question Number 163736 by HongKing last updated on 09/Jan/22 Answered by mr W last updated on 10/Jan/22 Commented by mr W last updated on 10/Jan/22…
Question Number 98192 by behi83417@gmail.com last updated on 12/Jun/20 Commented by bemath last updated on 12/Jun/20 $$\left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{2}} −\mathrm{xy}=\mathrm{133}\: \\ $$$$\mathrm{set}\:\sqrt{\mathrm{xy}}\:=\:\mathrm{u}\:\&\:\mathrm{x}+\mathrm{y}\:=\:\mathrm{v} \\ $$$$\Leftrightarrow\mathrm{v}^{\mathrm{2}} −\mathrm{u}^{\mathrm{2}} \:=\:\mathrm{133}\:\&\:\mathrm{v}+\mathrm{u}\:=\:\mathrm{19} \\…
Question Number 163730 by HongKing last updated on 09/Jan/22 $$\mathrm{Find}:\:\:\boldsymbol{\Omega}\:=\:\int\:\frac{\mathrm{sin}\left(\mathrm{x}\right)\:+\:\sqrt{\mathrm{3}}\:\mathrm{cos}\left(\mathrm{x}\right)}{\mathrm{sin}\left(\mathrm{3x}\right)}\:\mathrm{dx} \\ $$ Answered by cortano1 last updated on 10/Jan/22 $$\:=\mathrm{2}\int\:\frac{\mathrm{sin}\:\left({x}+\frac{\pi}{\mathrm{3}}\right)}{\mathrm{sin}\:\left(\mathrm{3}{x}\right)}\:{dx} \\ $$$$\:=\:\mathrm{2}\int\:\frac{{d}\left(\mathrm{tan}\:\theta\right)}{\mathrm{3}−\mathrm{tan}\:^{\mathrm{2}} \theta}\:;\:\theta={x}+\frac{\pi}{\mathrm{6}} \\ $$$$\:=\:\frac{\mathrm{2}\sqrt{\mathrm{3}}}{\mathrm{3}}\:\mathrm{tanh}\:^{−\mathrm{1}}…
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Question Number 32650 by keklou last updated on 30/Mar/18 $${f}\left({x}\right)=\mathrm{8}{x}−\mathrm{34}\sqrt{\mathrm{25}−\mathrm{4}\:\frac{\mathrm{3}}{\mathrm{2}}} \\ $$ Answered by MJS last updated on 30/Mar/18 $${f}\left({x}\right)=\mathrm{8}{x}−\mathrm{17}\sqrt{\mathrm{78}} \\ $$ Answered by Rio…
Question Number 32648 by jasno91 last updated on 30/Mar/18 Answered by Joel578 last updated on 30/Mar/18 $$\mathrm{157}\frac{\mathrm{1}}{\mathrm{4}}\::\:\mathrm{18}\frac{\mathrm{1}}{\mathrm{2}}\:=\:\frac{\mathrm{629}}{\mathrm{4}}\::\:\frac{\mathrm{37}}{\mathrm{2}}\:=\:\frac{\mathrm{629}}{\mathrm{4}}\:×\:\frac{\mathrm{2}}{\mathrm{37}}\:=\:\frac{\mathrm{17}}{\mathrm{2}}\:\mathrm{kg} \\ $$ Terms of Service Privacy Policy Contact:…