Question Number 12040 by Mr Chheang Chantria last updated on 10/Apr/17 $$\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}}\:\forall\boldsymbol{{x}},\boldsymbol{{y}}\in\boldsymbol{{R}} \\ $$$$\Rightarrow\:\mathrm{1}+\:\frac{\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{y}}^{\mathrm{2}} +\boldsymbol{{xy}}}{\mathrm{3}}\:\geqslant\:\boldsymbol{{x}}+\boldsymbol{{y}} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 10/Apr/17…
Question Number 143109 by mnjuly1970 last updated on 10/Jun/21 Commented by mnjuly1970 last updated on 10/Jun/21 $$\:\:\:\:\:{prove}\:\:\mathrm{I}_{\mathrm{1}} =−\frac{\pi^{\mathrm{2}} }{\mathrm{192}}\:\:…..? \\ $$ Answered by qaz last…
Question Number 77574 by jagoll last updated on 08/Jan/20 $${what}\:{is}\:{maximum}\: \\ $$$${value}\:{of}\:{y}=\:\left(\mathrm{3}{x}+\mathrm{4}\right)^{\mathrm{2}} ×\mathrm{sin}\:\left(\mathrm{2}{x}\right) \\ $$ Commented by MJS last updated on 08/Jan/20 $$\mathrm{sin}\:\mathrm{2}{x}\:=−\mathrm{1}\:\Rightarrow\:{x}={n}\pi−\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}−\mathrm{1}}{\mathrm{4}}\pi \\ $$$$\mathrm{sin}\:\mathrm{2}{x}\:=+\mathrm{1}\:\Rightarrow\:{x}={n}\pi+\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}+\mathrm{1}}{\mathrm{4}}\pi…
Question Number 77573 by MJS last updated on 08/Jan/20 $${x}\mathrm{ln}\:{x}\:=\frac{\mathrm{143851}}{\mathrm{40000}} \\ $$$$\mathrm{solve}\:\mathrm{for}\:{x}\:\Rightarrow\:\mathrm{nice}\:\mathrm{surprise} \\ $$ Commented by Tony Lin last updated on 08/Jan/20 $${lnx}=\frac{\mathrm{143851}}{\mathrm{40000}}{x}^{−\mathrm{1}} \\ $$$${e}^{\frac{\mathrm{143851}}{\mathrm{40000}}{x}^{−\mathrm{1}}…
Question Number 143105 by mathdanisur last updated on 10/Jun/21 $$\frac{{cos}\left(\mathrm{3}{x}\right)}{{sin}\left(\mathrm{2}{x}\right)}\:=\:\mathrm{0} \\ $$ Commented by Dwaipayan Shikari last updated on 10/Jun/21 $${cos}\left(\mathrm{3}{x}\right)=\mathrm{0}\:\:\: \\ $$$$\mathrm{3}{x}=\left(\mathrm{2}{k}+\mathrm{1}\right)\frac{\pi}{\mathrm{2}}\Rightarrow{x}=\left(\mathrm{2}{k}+\mathrm{1}\right)\frac{\pi}{\mathrm{6}}\:\:\:\:{k}\in\mathbb{Z} \\ $$$${sin}\left(\mathrm{2}{x}\right)\neq\mathrm{0}…
Question Number 77570 by TawaTawa last updated on 08/Jan/20 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\mathrm{log}\left(\frac{\mathrm{1}\:+\:\mathrm{x}\:+\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{x}^{\mathrm{4}} }{\:\sqrt{\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }}}\right)\:\mathrm{dx} \\ $$ Answered by MJS last updated…
Question Number 143101 by Huy last updated on 10/Jun/21 $$\mathrm{Find}\:\mathrm{x}:\:\:\:\:\:\:\:\:\mathrm{x}^{\mathrm{x}+\mathrm{1}} =\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143100 by lapache last updated on 10/Jun/21 $$\int\sqrt{{e}^{{x}} +\mathrm{1}\:}=…..??? \\ $$ Answered by qaz last updated on 10/Jun/21 $$\int\sqrt{\mathrm{e}^{\mathrm{x}} +\mathrm{1}}\mathrm{dx} \\ $$$$=\int\sqrt{\mathrm{u}+\mathrm{1}}\frac{\mathrm{du}}{\mathrm{u}} \\…
Question Number 12030 by tawa last updated on 09/Apr/17 Answered by mrW1 last updated on 10/Apr/17 $${I}\:{think}\:{none}\:{of}\:{the}\:{answers}\:{is}\:{correct}. \\ $$$${A}.\:{Y}=\mathrm{4} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{34}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{31}=\mathrm{62} \\ $$$$\mathrm{3}_{\mathrm{5}}…
Question Number 143102 by liberty last updated on 10/Jun/21 Answered by som(math1967) last updated on 10/Jun/21 $$\mathrm{2}\boldsymbol{{y}}=\mathrm{40}°+\mathrm{2}×\mathrm{48} \\ $$$$\boldsymbol{{y}}=\frac{\mathrm{136}}{\mathrm{2}}=\mathrm{68}° \\ $$$$\boldsymbol{{again}}\:\mathrm{48}\:+\boldsymbol{{x}}=\boldsymbol{{y}} \\ $$$$\boldsymbol{{x}}=\mathrm{68}−\mathrm{48}=\mathrm{20}° \\ $$…