Question Number 145746 by mathmax by abdo last updated on 07/Jul/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{log}\left(\mathrm{x}\right)\mathrm{log}\left(\mathrm{1}−\mathrm{x}\right)\mathrm{log}\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145729 by puissant last updated on 07/Jul/21 $$\mathrm{Dl}\:\:\:\mathrm{of}\:\:\:\mathrm{f}\left(\mathrm{x}\right)=\sqrt{\mathrm{x}\left(\mathrm{1}+\mathrm{x}\right)}\mathrm{e}^{\frac{\mathrm{3}}{\mathrm{2x}}} .. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 80180 by mathocean1 last updated on 31/Jan/20 $$\mathrm{h}\left({x}\right)=\frac{{x}−{x}^{\mathrm{2}} }{{x}+\mathrm{1}} \\ $$$${we}\:{defined}\:{this}\:{function}\:{on} \\ $$$$\mathbb{R}−\left\{−\mathrm{1}\right\}\rightarrow\mathbb{R} \\ $$$$ \\ $$$$\left.\mathrm{1}\right)\:\mathrm{Study}\:\mathrm{the}\:\mathrm{variations}\:\mathrm{of}\:\mathrm{h}\:\mathrm{then} \\ $$$$\mathrm{draw}\:\mathrm{up}\:\mathrm{its}\:\mathrm{table}\:\mathrm{of}\:\mathrm{variation}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{sirs}\:\mathrm{i}\:\mathrm{need}\:\mathrm{your}\:\mathrm{kind}\:\mathrm{help}…
Question Number 145633 by mathmax by abdo last updated on 06/Jul/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\mathrm{e}^{−\mathrm{x}} \sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\:\left(\mathrm{approximat}\:\mathrm{value}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145634 by mathmax by abdo last updated on 06/Jul/21 $$\mathrm{let}\:\mathrm{s}\left(\mathrm{x}\right)=\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\left(\mathrm{2x}^{\mathrm{2}} +\mathrm{2x}\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }+\mathrm{1}\right)^{\mathrm{n}} } \\ $$$$\left.\mathrm{1}\right)\:\mathrm{explicite}\:\mathrm{s}\left(\mathrm{x}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{s}\left(\mathrm{x}\right)\mathrm{dx} \\…
Question Number 145516 by mathmax by abdo last updated on 05/Jul/21 $$\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)=\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}\left(\mathrm{y}\right)+\mathrm{xy}\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{fromR} \\ $$$$\mathrm{and}\:\mathrm{f}\left(\mathrm{4}\right)=\mathrm{10}\:\:\mathrm{calculate}\:\mathrm{f}\left(\mathrm{1319}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 05/Jul/21 $${f}\left({x}+{y}\right)\:=\:{f}\left({x}\right)+{f}\left({y}\right)+{xy} \\…
Question Number 145514 by mathmax by abdo last updated on 05/Jul/21 $$\mathrm{let}\:\mathrm{A}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\mathrm{2n}\pi} \:\frac{\mathrm{dx}}{\left(\mathrm{2}+\mathrm{cosx}\right)^{\mathrm{2}} } \\ $$$$\mathrm{explicit}\:\mathrm{A}_{\mathrm{n}} \:\mathrm{and}\:\mathrm{determine}\:\mathrm{nature}\:\mathrm{of}\:\mathrm{serie}\:\Sigma\:\mathrm{A}_{\mathrm{n}} \\ $$ Answered by mathmax by…
Question Number 145515 by mathmax by abdo last updated on 05/Jul/21 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{e}^{−\mathrm{x}} \mathrm{arctan}\left(\frac{\mathrm{3}}{\mathrm{x}}\right) \\ $$$$\left.\mathrm{1}\right)\mathrm{find}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{3}\right) \\ $$$$\left.\mathrm{2}\right)\mathrm{give}\:\mathrm{taylor}\:\mathrm{developpement}\:\mathrm{for}\:\mathrm{f}\:\mathrm{at}\:\mathrm{x}_{\mathrm{0}} =\mathrm{3} \\ $$$$\left.\mathrm{3}\right)\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx} \\ $$…
Question Number 14353 by tawa tawa last updated on 30/May/17 $$\mathrm{For}\:\mathrm{all}\:\mathrm{a},\:\mathrm{b}\:\in\:\mathrm{G}\:,\:\mathrm{where}\:\mathrm{G}\:\mathrm{is}\:\mathrm{a}\:\mathrm{group}\:\mathrm{with}\:\mathrm{respect}\:\mathrm{to}\:\mathrm{operation}\:\:'\mathrm{o}' \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\:\left(\mathrm{aob}\right)^{−\mathrm{1}} \:=\:\mathrm{b}^{−\mathrm{1}} \:\mathrm{o}\:\:\mathrm{a}^{−\mathrm{1}} \\ $$ Commented by Tinkutara last updated on 31/May/17 $$\mathrm{Sorry},\:\mathrm{I}\:\mathrm{want}\:\mathrm{to}\:\mathrm{say}\:\mathrm{that}\:\mathrm{are}\:{a}\:\mathrm{and}\:{b}…
Question Number 145420 by puissant last updated on 04/Jul/21 $$\mathrm{Developpement}\:\:\mathrm{limit}\acute {\mathrm{e}}\:\mathrm{g}\acute {\mathrm{e}n}\acute {\mathrm{e}ralis}\acute {\mathrm{e}}\:\mathrm{au}\: \\ $$$$\mathrm{voisinnage}\:\mathrm{de}\:−\infty\:\mathrm{de}\:\mathrm{g}\left(\mathrm{x}\right)=\frac{\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }}{\mathrm{1}+\mathrm{x}+\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }} \\ $$$$\mathrm{et}\:\mathrm{d}\acute {\mathrm{e}duire}\:\mathrm{une}\:\mathrm{asymptote}\:\mathrm{en}\:−\infty\: \\ $$$$\mathrm{ainsi}\:\mathrm{que}\:\mathrm{sa}\:\mathrm{position}\:\mathrm{relative}\:\mathrm{par}\:\mathrm{rapport} \\ $$$$\mathrm{a}\:\mathrm{la}\:\mathrm{courbe}.…