Category: Geometry

Question Number 124 by novrya last updated on 25/Jan/15 $${If}\:{C}\:{is}\:{circle}\:\mid{z}\mid=\mathrm{1}.\:{Then}\:{the}\:{value}\:{of} \\ $$$$\underset{{C}} {\int}\:\frac{{cos}\:{z}}{{sin}\:{z}}\:{dz}\:=…. \\ $$ Commented by 123456 last updated on 13/Dec/14 $$\mathrm{o}\:\mathrm{teorema}\:\mathrm{dos}\:\mathrm{residuos}\:\mathrm{seria}\:\mathrm{bem}\:\mathrm{util}\:\mathrm{aqui}. \\ $$$$\mathrm{note}\:\mathrm{que}\:\mathrm{no}\:\mathrm{interior}\:\mathrm{do}\:\mathrm{contorno}\:\mathrm{C}\:\mathrm{so}\:\mathrm{a}\:\mathrm{um}\:\mathrm{polo}\:\mathrm{simples}\left(\mathrm{z}=\mathrm{0}\right)…

Question Number 119 by novrya last updated on 25/Jan/15 $${Evaluate}\:\int\sqrt{{tan}\:\theta}\:{d}\theta \\ $$ Answered by rajabhay last updated on 06/Dec/14 $$\mathrm{tan}\:\theta={t}^{\mathrm{2}} \\ $$$$\mathrm{sec}^{\mathrm{2}} \theta\:{d}\theta=\mathrm{2}{t}\:{dt},\:\mathrm{sec}^{\mathrm{2}} \theta=\mathrm{1}+{t}^{\mathrm{4}} \\…

Question Number 101 by saidinesh999.sd@gmail.com last updated on 25/Jan/15 $$\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} =?{i} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by saidinesh999.sd@gmail.com last…

Question Number 65541 by Tanmay chaudhury last updated on 31/Jul/19 $${we}\:{are}\:{all}\:{students}\:{learning}\:{mutually}\:{from}\:{each}\:{other} \\ $$$${we}\:{are}\:{not}\:{at}\:{par}\:{with}\:{great}\:{Ramanuj}\:{and} \\ $$$${Hardy}…{to}\:{solve}\:{problems}\:{related}\:{to}\:{zeta}\:{function} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 13005 by 1630321995 last updated on 10/May/17 $${using}\:{De}\:{Moivre}\:{theorem}\:{solve}\:{the}\:{equation}\:\left({x}+\mathrm{1}\right)^{\mathrm{5}} +\left({x}−\mathrm{1}\right)^{\mathrm{5}} =\mathrm{0} \\ $$ Answered by mrW1 last updated on 10/May/17 $$\left({x}+\mathrm{1}\right)^{\mathrm{5}} −\left(\mathrm{1}−{x}\right)^{\mathrm{5}} =\mathrm{0} \\…