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 $$\left(\mathrm{i}\right)\:\mathrm{f}\left(\mathrm{1},\mathrm{2}\right)\:=\:\mathrm{2f}\left(\mathrm{2},\mathrm{1}\right)+\mathrm{1} \\…
Question Number 87535 by mathmax by abdo last updated on 04/Apr/20 $${let}\:{U}_{{n}} =\left\{{z}\in{C}\:/{z}^{{n}} =\mathrm{1}\right\} \\ $$$${calculate}\:\sum_{{k}=\mathrm{0}\:{and}\:{z}\in{U}_{{n}} } ^{{p}−\mathrm{1}} \:{z}^{{k}} \\ $$ Terms of Service Privacy…
Question Number 87530 by mathmax by abdo last updated on 04/Apr/20 $$\left.\mathrm{1}\right)\:{calculate}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{e}^{−{n}\left[{x}\right]} {sin}\left(\frac{\pi{x}}{{n}}\right){dx}\:\:{nnatural}\:{and}\:{n}\geqslant\mathrm{1} \\ $$$$\left.\mathrm{2}\right){determine}\:{nature}\:{of}\:\Sigma\:{U}_{{n}} \\ $$ Commented by mathmax by abdo…
Question Number 87464 by jagoll last updated on 04/Apr/20 $$\mathrm{x}\:+\:\sqrt{\mathrm{y}}\:=\:\mathrm{7} \\ $$$$\sqrt{\mathrm{x}}\:+\:\mathrm{y}\:=\:\mathrm{11}\: \\ $$$$\mathrm{find}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\: \\ $$ Commented by john santu last updated on 04/Apr/20 $$\mathrm{y}\:=\:\mathrm{9}\:\wedge\:\mathrm{x}\:=\:\mathrm{4}…
Question Number 87459 by john santu last updated on 04/Apr/20 $$\mathrm{find}\:\mathrm{all}\:\mathrm{functions}\:\mathrm{f}\::\mathbb{R}\:\rightarrow\mathbb{R} \\ $$$$\mathrm{so}\:\mathrm{that}\:\left(\mathrm{x}−\mathrm{y}\right)\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)\:−\left(\mathrm{x}+\mathrm{y}\right)\:\mathrm{f}\left(\mathrm{x}−\mathrm{y}\right)\:= \\ $$$$\mathrm{4xy}\:\left(\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} \right)\:\forall\mathrm{x},\mathrm{y}\:\in\mathbb{R} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 87352 by jagoll last updated on 04/Apr/20 $$\mathrm{f}\left(\mathrm{x}\right)=\:\mathrm{f}\left(\mathrm{x}+\mathrm{1}\right)\:−\mathrm{x} \\ $$$$\mathrm{f}\left(\mathrm{0}\right)=\:\mathrm{123} \\ $$$$\mathrm{f}\left(\mathrm{29}\right)\:=? \\ $$ Commented by jagoll last updated on 04/Apr/20 $$\mathrm{x}=\mathrm{0}\:\Rightarrow\:\mathrm{123}=\mathrm{f}\left(\mathrm{1}\right)−\mathrm{0} \\…
Question Number 152799 by nadovic last updated on 01/Sep/21 $$\:\:\mathrm{Given}\:\mathrm{that}\:{f}\circ{g}\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}{x}^{\mathrm{2}} \:−\:{x}\:+\:\mathrm{4}}\:\:\mathrm{and} \\ $$$$\:\:{g}\left({x}\right)\:=\:\frac{{x}}{{x}\:−\:\mathrm{2}},\:\mathrm{find}\:{f}\left({x}\right). \\ $$ Commented by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{nice}! \\…