Question Number 99832 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{solve}\:\mathrm{x}^{\mathrm{2}} \mathrm{y}^{''} \:−\mathrm{xy}^{'} \:+\mathrm{2y}\:=\mathrm{x}^{\mathrm{3}} \mathrm{e}^{−\mathrm{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 99828 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\mathrm{2}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{calculate}\:\mathrm{A}^{\mathrm{n}} \\ $$$$\left.\mathrm{2}\right)\mathrm{determine}\:\mathrm{cosA}\:\mathrm{and}\:\mathrm{sinA} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{chA}\:\mathrm{and}\:\mathrm{shA} \\ $$ Commented by bachamohamed last updated…
Question Number 99822 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{ch}\left(\mathrm{sinx}\right)}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 99819 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{sove}\:\:\mathrm{sinx}\:\mathrm{y}^{'} \:−\mathrm{cos}\left(\mathrm{2x}\right)\mathrm{y}\:=\mathrm{xe}^{−\mathrm{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34267 by math khazana by abdo last updated on 03/May/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{e}^{{x}} \right)\left(\mathrm{1}+{e}^{−{x}} \right)}\:. \\ $$ Commented by math khazana by abdo…
Question Number 34263 by math khazana by abdo last updated on 03/May/18 $${calculate}\:{I}\:\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}\:\:{and} \\ $$$${J}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{x}^{{n}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}{dx}\:{with}\:{n}\:{integr}\:>\mathrm{0} \\…
Question Number 34258 by math khazana by abdo last updated on 03/May/18 $$\left.\mathrm{1}\left.\right)\:{prove}\:{that}\:\forall\:{x}\in\right]\mathrm{0},\mathrm{1}\left[\:\:\mathrm{1}−\frac{\mathrm{1}}{{x}}\leqslant{lnx}\leqslant\:{x}−\mathrm{1}\right. \\ $$$$\left.\mathrm{2}\right)\:{find}\:\mathrm{2}\:{sequences}\:{u}_{{n}} \:{and}\:{v}_{{n}} \:\:\:/ \\ $$$${u}_{{n}} \leqslant\prod_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \:{ln}\left(\frac{{k}}{{n}}\right)\leqslant{v}_{{n}} \:\:\:\:\forall{n}\geqslant\mathrm{2} \\ $$…
Question Number 34226 by abdo imad last updated on 03/May/18 $${let}\:{u}_{{n}} =\:\left({n}+\mathrm{1}\right)^{\frac{{n}+\mathrm{1}}{{n}}} \:\:−{n}^{\frac{{n}}{{n}−\mathrm{1}}} \\ $$$${find}\:{lim}_{{n}\rightarrow+\infty} {u}_{{n}} \\ $$ Commented by abdo mathsup 649 cc last…
Question Number 34224 by abdo imad last updated on 03/May/18 $${study}\:{and}\:{give}\:{the}\:{graph}\:\:{for} \\ $$$${f}\left({x}\right)\:=\frac{\left({x}−\mathrm{1}\right)^{\mathrm{2}} }{{x}}\:{e}^{−\frac{\mathrm{1}}{{x}^{\mathrm{2}} \:\:}} . \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34217 by abdo imad last updated on 02/May/18 $${calculate}\:{lim}_{{n}\rightarrow+\infty} {n}^{\mathrm{3}} \:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\:\frac{\mathrm{1}}{{n}^{\mathrm{4}} \:+{k}^{\mathrm{2}} {n}^{\mathrm{2}} \:+{k}^{\mathrm{4}} }\:. \\ $$ Commented by math khazana…