Question Number 12207 by @ANTARES_VY last updated on 16/Apr/17 $$\boldsymbol{\mathrm{Multi}}−\boldsymbol{\mathrm{point}}\:\:\:\oint\left(\boldsymbol{\mathrm{x}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{3}} \:\:\boldsymbol{\mathrm{well}}\:\boldsymbol{\mathrm{be}} \\ $$$$\boldsymbol{\mathrm{equal}}\:\:\boldsymbol{\mathrm{to}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{function}} \\ $$$$\boldsymbol{\mathrm{ant}}\:\:\boldsymbol{\mathrm{its}}\:\:\boldsymbol{\mathrm{harvest}}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77741 by BK last updated on 09/Jan/20 Commented by mr W last updated on 09/Jan/20 $$\underset{{n}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\frac{{n}^{\mathrm{2}} }{{n}^{\mathrm{2}} −\mathrm{10}{n}+\mathrm{50}}=? \\ $$$${A}_{{n}} =\frac{{n}^{\mathrm{2}}…
Question Number 77739 by ajfour last updated on 09/Jan/20 Commented by ajfour last updated on 09/Jan/20 $${Find}\:\:\:\frac{\mathrm{sin}\:\theta}{\mathrm{sin}\:\phi}\:\:{using}\:{a},{b},{c},\alpha. \\ $$ Commented by key of knowledge last…
Question Number 12201 by Nayon last updated on 16/Apr/17 $$\int\frac{\mathrm{1}}{{sin}\left({x}\right)}{dx} \\ $$ Answered by ajfour last updated on 16/Apr/17 $${I}=\int\:\frac{\left(\mathrm{cosec}\:{x}\right)\left(\mathrm{cosec}\:{x}+\mathrm{cot}\:{x}\right)}{\mathrm{cosec}\:{x}+\mathrm{cot}\:{x}}{dx} \\ $$$${let}\:\:\mathrm{cosec}\:{x}+\mathrm{cot}\:{x}\:=\:{t} \\ $$$$\frac{{dt}}{{dx}}=\:−\left(\mathrm{cosec}\:{x}\right)\mathrm{cot}\:{x}−\mathrm{cosec}\:^{\mathrm{2}} {x}…
Question Number 143274 by Aditya9886 last updated on 12/Jun/21 Answered by Olaf_Thorendsen last updated on 12/Jun/21 $${y}\:=\:\mathrm{sin}^{\mathrm{2}} \left(\mathrm{cos}{x}\right) \\ $$$$\frac{{dy}}{{dx}}\:=\:\left(−\mathrm{sin}{x}\right)×\mathrm{2cos}\left(\mathrm{cos}{x}\right)×\mathrm{sin}\left(\mathrm{cos}{x}\right) \\ $$$$\frac{{dy}}{{dx}}\:=\:−\mathrm{sin}{x}.\mathrm{sin}\left(\mathrm{2cos}{x}\right) \\ $$$$ \\…
Question Number 143268 by Study last updated on 12/Jun/21 $${li}\underset{{x}\rightarrow\infty} {{m}}\left(\frac{{x}+\mathrm{3}}{{x}−\mathrm{4}}\right)^{−\mathrm{2}} =? \\ $$ Answered by SumanKarmakar2007 last updated on 12/Jun/21 $$\mathrm{1} \\ $$$$ \\…
Question Number 12197 by tawa last updated on 16/Apr/17 Commented by mrW1 last updated on 16/Apr/17 $${I}\:{think}\:{we}\:{can}\:{not}\:{find}\:{an}\:{analytical} \\ $$$${solution}.\:{The}\:{numerical}\:{solution}\:{can} \\ $$$${be}\:{found}\:{using}\:{a}\:{lot}\:{of}\:{apps},\:{e}.{g}.\:{geogebra}. \\ $$$${x}\approx\mathrm{2}.\mathrm{76909366} \\ $$…
Question Number 143270 by SLVR last updated on 12/Jun/21 Answered by Olaf_Thorendsen last updated on 12/Jun/21 $$\mathrm{B}\left({i},{j}\right)\:\geqslant\:\mathrm{1} \\ $$$$\mathrm{Let}\:{c}_{{ij}} \:=\:\mathrm{B}^{\mathrm{2}} \left({i},{j}\right)\:=\:\underset{{p}=\mathrm{1}} {\overset{\lambda} {\sum}}\underset{{q}=\mathrm{1}} {\overset{\lambda} {\sum}}{b}_{{ip}}…
Question Number 77729 by aliesam last updated on 09/Jan/20 $${prove}\:{that} \\ $$$$\int_{−\pi} ^{\pi} {cos}\left(\mathrm{2}{x}\right)\:{cos}\left(\mathrm{3}{x}\right)\:{cos}\left(\mathrm{4}{x}\right)….{cos}\left(\mathrm{2005}{x}\right){dx}>\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143261 by Mathspace last updated on 12/Jun/21 $${find}\:{Y}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)….\left({x}+{n}\right)} \\ $$$$\left({n}>\mathrm{1}\:{integr}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 12/Jun/21 $$…