Question Number 154441 by talminator2856791 last updated on 18/Sep/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}\:\frac{\:\left(\mathrm{1}+\:\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} \:}{\:\mathrm{1}+\:\frac{\mathrm{2}}{{n}}\:} \\ $$$$\: \\ $$ Commented by benhamimed last updated on…
Question Number 88424 by abdomathmax last updated on 10/Apr/20 $${calculate}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({n}^{\mathrm{2}} {x}\right)−{arctan}\left({nx}\right)}{{x}}{dx} \\ $$$${and}\:{xetermine}\:{nature}\:{of}\:{the}\:{serie}\:\Sigma\:{U}_{{n}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 88423 by abdomathmax last updated on 10/Apr/20 $${solve}\:\left({x}^{\mathrm{2}} −\mathrm{1}\right){y}^{''} \:+\sqrt{{x}}{y}^{'} \:={xe}^{−{x}} \\ $$ Commented by mathmax by abdo last updated on 12/Apr/20 $${let}\:\:{y}^{'}…
Question Number 88419 by abdomathmax last updated on 10/Apr/20 $${find}\:{L}\left(\frac{{arctanx}}{{x}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 153915 by liberty last updated on 12/Sep/21 Answered by mr W last updated on 12/Sep/21 Commented by mr W last updated on 12/Sep/21…
Question Number 153679 by liberty last updated on 09/Sep/21 $${Find}\:{the}\:{constant}\:{of}\:{polynom} \\ $$$$\:{P}\left(\mathrm{11}{x}−\mathrm{2}\right)\:{if}\:{given}\:{the}\:{equation} \\ $$$$\mathrm{3}{P}\left({x}+\mathrm{2}\right)−{P}\left(\mathrm{2}{x}+\mathrm{3}\right)=−\mathrm{4}{x}^{\mathrm{2}} −{x}+\mathrm{3} \\ $$ Answered by EDWIN88 last updated on 09/Sep/21 Commented…
Question Number 88032 by mathmax by abdo last updated on 07/Apr/20 $${decompose}\:{inside}\:{R}\left({x}\right)\:{the}\:{fraction} \\ $$$$\left.\mathrm{1}\right)\:{F}\left({x}\right)\:=\frac{\mathrm{1}}{{x}^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:{F}\left({x}\right)\:=\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{4}} \left({x}−\mathrm{3}\right)^{\mathrm{4}} } \\ $$ Commented by jagoll…
Question Number 87998 by abdomathmax last updated on 07/Apr/20 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \:+\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 22457 by ajfour last updated on 18/Oct/17 $${Prove}\:{the}\:{inequality} \\ $$$$\:\:\mathrm{cos}\:\left(\mathrm{sin}\:{x}\right)\:>\:\mathrm{sin}\:\left(\mathrm{cos}\:{x}\right)\:. \\ $$ Commented by Bruce Lee last updated on 18/Oct/17 Terms of Service…
Question Number 87784 by john santu last updated on 06/Apr/20 $$\mathrm{Given}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\mathrm{y}\:\mathrm{f}\left(\mathrm{y},\mathrm{x}\right)\:+\mathrm{x} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{1},\mathrm{2}\right)\:. \\ $$ Commented by john santu last updated on 06/Apr/20 $$\left(\mathrm{i}\right)\:\mathrm{f}\left(\mathrm{1},\mathrm{2}\right)\:=\:\mathrm{2f}\left(\mathrm{2},\mathrm{1}\right)+\mathrm{1} \\…