Question Number 134008 by AbderrahimMaths last updated on 26/Feb/21 $$\:\:\:\:{we}\:{consider}\:{that}\:{application}\:{n}\geqslant\mathrm{1} \\ $$$$\:\:{det}\::\:{M}_{{n}} \left(\mathbb{R}\right)\rightarrow\mathbb{R} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{A} {det}\left({A}\right) \\ $$$$\mathrm{1}−{verify}\:{that}\:\forall{H}\in{M}_{{n}} \left(\mathbb{R}\right)\:{and}\:{t}\in\mathbb{R} \\ $$$$\:{if}\:{A}={I}_{{n}} \Rightarrow{det}\left({A}+{tH}\right)=\mathrm{1}+{t}.{Tr}\left({H}\right)+\circ\left({t}\right) \\ $$$$\mathrm{2}−{suppose}\:{that}:\:{A}\in{GL}_{{n}} \left(\mathbb{R}\right)…
Question Number 134006 by mohammad17 last updated on 26/Feb/21 Answered by malwan last updated on 26/Feb/21 $$\left(\mathrm{1}\right)\:\underset{{x}\rightarrow\mathrm{4}} {{lim}}\:\frac{\mathrm{2}{x}−\mathrm{5}}{\mathrm{3}}\:=\:\frac{\mathrm{2}×\mathrm{4}−\mathrm{5}}{\mathrm{3}}\:=\:\mathrm{1} \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow−\mathrm{3}^{+} } {{lim}}\:\frac{\sqrt{{x}+\mathrm{4}}\:−\sqrt{−{x}−\mathrm{2}}}{\:\sqrt{{x}+\mathrm{3}}}×\frac{\sqrt{{x}+\mathrm{4}}\:+\:\sqrt{−{x}−\mathrm{2}}}{\:\sqrt{{x}+\mathrm{4}}\:+\:\sqrt{−{x}−\mathrm{2}}} \\ $$$$=\:\underset{{x}\rightarrow−\mathrm{3}^{+} }…
Question Number 2931 by Filup last updated on 30/Nov/15 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{double}\:\mathrm{factorial}\:\mathrm{function}? \\ $$$${i}.{e}.\:\:\:\:\:{x}!! \\ $$ Answered by 123456 last updated on 30/Nov/15 $${x}!!={x}\left({x}−\mathrm{2}\right)!!,{x}\in\mathbb{N} \\ $$$$\mathrm{0}!!=\mathrm{1} \\…
Question Number 2932 by Filup last updated on 30/Nov/15 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{subfactorial}\:\mathrm{function}? \\ $$$${i}.{e}.\:\:\:\:\:!{x} \\ $$ Commented by 123456 last updated on 30/Nov/15 $$\mathrm{number}\:\mathrm{of}\:\mathrm{dessaragment} \\ $$ Commented…
Question Number 133980 by mohammad17 last updated on 26/Feb/21 Answered by mr W last updated on 26/Feb/21 $$\frac{\partial{p}}{\partial{x}}=\frac{{x}}{\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} }} \\ $$$$\frac{\partial{p}}{\partial{y}}=\frac{{y}}{\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}}…
Question Number 133979 by Ñï= last updated on 26/Feb/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{4}} \frac{{sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}}{\left({sin}^{\mathrm{3}} {x}+{cos}^{\mathrm{3}} {x}\right)^{\mathrm{3}} }{dx}=? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 133964 by mathocean1 last updated on 26/Feb/21 $${calculate}\: \\ $$$${I}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{1}}{\mathrm{1}+{e}^{{x}} }\:{dx} \\ $$ Answered by bobhans last updated on 26/Feb/21 $$\int\:\frac{\mathrm{e}^{\mathrm{x}}…
Question Number 133968 by help last updated on 26/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133961 by Ahmed1hamouda last updated on 25/Feb/21 Answered by mathmax by abdo last updated on 27/Feb/21 $$\mathrm{y}^{'} \:+\mathrm{sinx}\:\mathrm{y}=−\mathrm{x}^{\mathrm{3}} \\ $$$$\mathrm{h}\rightarrow\mathrm{y}^{'} \:+\mathrm{sinxy}=\mathrm{0}\:\Rightarrow\mathrm{y}^{'} \:=−\mathrm{sinxy}\:\Rightarrow\frac{\mathrm{y}^{'} }{\mathrm{y}}=−\mathrm{sinx}\:\Rightarrow\mathrm{ln}\mid\mathrm{y}\mid=\mathrm{cosx}\:+\mathrm{c}\:\Rightarrow…
Question Number 68405 by Tinku Tara last updated on 10/Sep/19 $$\mathrm{There}\:\mathrm{are}\:\mathrm{a}\:\mathrm{few}\:\mathrm{problem}\:\mathrm{reported}. \\ $$$$\mathrm{Notification}:\:\mathrm{google}\:\mathrm{discontinued} \\ $$$$\mathrm{Google}\:\mathrm{Cloud}\:\mathrm{Messaging}\:\mathrm{so}\:\mathrm{notifications} \\ $$$$\mathrm{are}\:\mathrm{not}\:\mathrm{working}.\: \\ $$$$\mathrm{Other}\:\mathrm{Problems}: \\ $$$$\mathrm{There}\:\mathrm{has}\:\mathrm{been}\:\mathrm{several}\:\mathrm{new}\:\mathrm{phone} \\ $$$$\mathrm{models}\:\mathrm{and}\:\mathrm{android}\:\mathrm{version}\:\mathrm{updates}. \\ $$$$\mathrm{And}\:\mathrm{newer}\:\mathrm{android}\:\mathrm{version}\:\mathrm{or}\:\mathrm{phone}…