Question Number 62396 by Tawa1 last updated on 20/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62395 by Cypher1207 last updated on 20/Jun/19 $$\mathrm{The}\:\mathrm{Most}\:\mathrm{Beautiful}\:\mathrm{Equation} \\ $$$$\mathrm{for}\:\mathrm{me}\:\mathrm{is}: \\ $$$$\mathrm{e}^{{i}\pi} +\mathrm{1}=\mathrm{0} \\ $$$$\mathrm{INCREDIBLE}! \\ $$$$#\mathrm{Euler}'\mathrm{sIdentity} \\ $$ Commented by JDamian last…
Question Number 127931 by A8;15: last updated on 03/Jan/21 Commented by talminator2856791 last updated on 04/Jan/21 $$\: \\ $$$$\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{series}\:\mathrm{for}\:\mathrm{which}\:\mathrm{you}\:\mathrm{want}\:\mathrm{evaluate}? \\ $$ Commented by A8;15: last…
Question Number 127929 by mnjuly1970 last updated on 03/Jan/21 $$ \\ $$$$\:\:\:\:\:\:\phi=\int_{\mathrm{1}} ^{\:\infty} \frac{{x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}}{{x}\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{dx}=? \\ $$ Answered by Ar Brandon last updated…
Question Number 127924 by ajfour last updated on 03/Jan/21 $$\:\:\:\:{x}^{\mathrm{3}} ={x}+{c} \\ $$$${Solve}\:{for}\:{x},\:{even}\:{when}\:{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}. \\ $$ Commented by ajfour last updated on 03/Jan/21 $$\left({without}\:{trigonometric}\:{functions}\right) \\ $$…
Question Number 62389 by hovea cw last updated on 20/Jun/19 $$\int\mathrm{0dx}= \\ $$$$ \\ $$$$ \\ $$$$\mathrm{help} \\ $$ Commented by mr W last updated…
Question Number 127925 by mr W last updated on 03/Jan/21 $${find}\:{F}\left({a}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\frac{\mathrm{1}+{a}^{\mathrm{2}} {t}^{\mathrm{2}} }{\mathrm{1}−{t}^{\mathrm{2}} }}\:{dt} \\ $$$$ \\ $$$${for}\:{background}\:{see}\:{Q}\mathrm{127811}. \\ $$ Answered by mindispower…
Question Number 62380 by ajfour last updated on 20/Jun/19 $${Prove}\:{that}\:{if}\:{the}\:{lengths}\:{of}\:{a}\: \\ $$$${triangle}\:{form}\:{an}\:{arithmetic} \\ $$$${progression},\:{then}\:{the}\:{centre}\:{of} \\ $$$${incircle}\:{and}\:{the}\:{centroid}\:{of} \\ $$$${triangle}\:{lie}\:{on}\:{a}\:{line}\:{parallel}\:{to} \\ $$$${the}\:{side}\:{of}\:{middle}\:{length}\:{of}\:{the} \\ $$$${triangle}. \\ $$ Answered…
Question Number 127912 by PRITHWISH SEN 2 last updated on 03/Jan/21 $$\mathrm{Dividing}\:\mathrm{by}\:\mathrm{the}\:\mathrm{factor}\:\mathrm{of}\:\mathrm{divisor}\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\mathrm{quotient}\:\mathrm{and}\:\mathrm{remainder}\:\mathrm{of}\:\:\mathrm{715}\boldsymbol{\div}\mathrm{12} \\ $$ Answered by physicstutes last updated on 03/Jan/21 $$\:\mathrm{715}\:=\:\mathrm{12}\left(\mathrm{59}\right)\:+\:\mathrm{7} \\…
Question Number 127908 by bramlexs22 last updated on 03/Jan/21 $$\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{1}.\mathrm{3}.\mathrm{5}}+\frac{\mathrm{3}}{\mathrm{1}.\mathrm{3}.\mathrm{5}.\mathrm{7}}+\frac{\mathrm{4}}{\mathrm{1}.\mathrm{3}.\mathrm{5}.\mathrm{7}.\mathrm{9}}+…=? \\ $$ Answered by liberty last updated on 03/Jan/21 $$\:\mathrm{Let}\:\lambda\:=\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{n}}{\mathrm{1}.\mathrm{3}.\mathrm{5}…\left(\mathrm{2n}+\mathrm{1}\right)}\: \\ $$$$\mathrm{consider}\:\frac{\mathrm{n}}{\mathrm{1}.\mathrm{3}.\mathrm{5}….\left(\mathrm{2n}+\mathrm{1}\right)}\:=\:\frac{\mathrm{n}}{\mathrm{1}.\left(\mathrm{3}.\mathrm{5}…\left(\mathrm{2n}−\mathrm{1}\right)\right).\left(\mathrm{2n}+\mathrm{1}\right)} \\…