Question Number 16911 by Tinkutara last updated on 28/Jun/17 $$\mathrm{Please}\:\mathrm{solve}\:\mathrm{Q}.\:\mathrm{16066}\:\mathrm{or}\:\mathrm{please}\:\mathrm{tell}\:\mathrm{me} \\ $$$$\mathrm{whether}\:\mathrm{to}\:\mathrm{post}\:\mathrm{its}\:\mathrm{solution}\:\mathrm{or}\:\mathrm{not}.\:\mathrm{I} \\ $$$$\mathrm{don}'\mathrm{t}\:\mathrm{understood}\:\mathrm{the}\:\mathrm{solution}. \\ $$ Commented by mrW1 last updated on 28/Jun/17 $$\mathrm{I}\:\mathrm{think}\:\mathrm{I}\:\mathrm{have}\:\mathrm{the}\:\mathrm{answer}.\:\mathrm{I}'\mathrm{ll}\:\mathrm{post} \\…
Question Number 147980 by mathdanisur last updated on 24/Jul/21 $${f}\left({x}\right)\:=\:\mathrm{4}{x}^{\mathrm{4}} \:-\:\mathrm{2}{x}^{\mathrm{2}} \:+\:\mathrm{17} \\ $$$${Find}\:{the}\:{maximum}\:{point}\:{of}\:{the} \\ $$$${function} \\ $$ Answered by iloveisrael last updated on 25/Jul/21…
Question Number 82447 by mathmax by abdo last updated on 21/Feb/20 $${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}\xi\left({n}\right) \\ $$ Answered by mind is power last updated on…
Question Number 16909 by tawa tawa last updated on 28/Jun/17 $$\sqrt{\mathrm{x}^{\mathrm{x}^{\mathrm{6}} } }\:=\:\mathrm{729}\:,\:\:\:\:\mathrm{Find}\:\mathrm{x} \\ $$ Answered by mrW1 last updated on 28/Jun/17 $$\sqrt{\mathrm{x}^{\mathrm{x}^{\mathrm{6}} } }\:=\:\mathrm{729}…
Question Number 82445 by mathmax by abdo last updated on 21/Feb/20 $${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\frac{\xi\left({n}\right)−\mathrm{1}}{{n}} \\ $$$${with}\:\xi\left({x}\right)\:=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{{x}} }\:\:\:\left({x}>\mathrm{1}\right) \\ $$ Answered by mind is…
Question Number 82442 by mathmax by abdo last updated on 21/Feb/20 $$\left.\mathrm{1}\right){find}\:\int\:\frac{\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}}{{x}^{\mathrm{2}} \:+\mathrm{3}}{dx} \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}}{{x}^{\mathrm{2}} \:+\mathrm{3}}{dx} \\ $$ Commented by mathmax…
Question Number 16906 by tawa tawa last updated on 28/Jun/17 $$\mathrm{x}^{\mathrm{x}} \:=\:\mathrm{100},\:\mathrm{find}\:\mathrm{x}. \\ $$ Answered by mrW1 last updated on 28/Jun/17 $$\mathrm{x}^{\mathrm{x}} \:=\:\mathrm{100} \\ $$$$\mathrm{x}=\mathrm{100}^{\frac{\mathrm{1}}{\mathrm{x}}}…
Question Number 147979 by mathdanisur last updated on 24/Jul/21 $${y}\:=\:{x}^{\mathrm{3}} \:\:;\:\:{y}\:=\:\mathrm{0}\:\:{and}\:\:{x}\:=\:{a} \\ $$$${Find}\:\:\boldsymbol{{a}}\:\:{if}\:{the}\:{area}\:{of}\:{the}\:{figure} \\ $$$${bounded}\:{by}\:{straight}\:{lines}\:{is}\:\:\mathrm{64} \\ $$ Answered by iloveisrael last updated on 25/Jul/21 $$\mathrm{If}\:\mathrm{a}>\mathrm{0}\:\Rightarrow\mathrm{64}=\int_{\mathrm{0}}…
Question Number 82440 by mathmax by abdo last updated on 21/Feb/20 $${find}\:\int\:\frac{{x}+\mathrm{1}}{{x}+\mathrm{2}}\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}{dx} \\ $$ Commented by abdomathmax last updated on 24/Feb/20 $${let}\:{A}\:=\int\frac{{x}+\mathrm{1}}{{x}+\mathrm{2}}\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}{dx}\:\:{changement}\:\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}={t} \\ $$$${hive}\:\:\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}={t}^{\mathrm{2}} \:\Rightarrow\mathrm{1}−{x}={t}^{\mathrm{2}}…
Question Number 147978 by mathdanisur last updated on 24/Jul/21 $$\mathrm{3}{x}^{\mathrm{2}} \:-\:\mathrm{7}\:\mid{x}\mid\:+\:{m}\:-\:\mathrm{5}\:=\:\mathrm{0}\: \\ $$$${At}\:{what}\:{value}\:{of}\:\boldsymbol{{m}}\:{can}\:{the}\:{equation} \\ $$$${have}\:{three}\:{roots} \\ $$ Answered by Olaf_Thorendsen last updated on 24/Jul/21 $$\mathrm{In}\:\mathbb{R},\:\mathrm{the}\:\mathrm{equation}\:\mathrm{can}\:\mathrm{have}\:\mathrm{two}…