Question Number 142691 by SLVR last updated on 04/Jun/21 $${The}\:{number}\:{of}\:{distributions}\:{of}\:\mathrm{52} \\ $$$${cards}\:{divided}\:{equally}\:{to}\:\mathrm{4}\:{persons}\:{so} \\ $$$${as}\:{each}\:{gets}\:\mathrm{4}\:{cards}\:{of}\:{same}\:{suit} \\ $$$${taken}\:{away}\:{from}\:\mathrm{3}{suits}\left(\mathrm{4}×\mathrm{3}=\mathrm{12}\right)\wp \\ $$$${remaining}\:{card}\:{from}\:{remaining} \\ $$$$\mathrm{4}\:{th}\:{suit}\:{is} \\ $$ Commented by SLVR…
Question Number 142690 by Rankut last updated on 04/Jun/21 $$\int_{\mathrm{0}\:} ^{\mathrm{1}} \frac{\boldsymbol{{log}}\left(\boldsymbol{{x}}\right)\boldsymbol{{log}}\left(\frac{\boldsymbol{{x}}}{\mathrm{1}−\boldsymbol{{x}}}\right)}{\:\sqrt{\frac{\boldsymbol{{x}}}{\mathrm{1}−\boldsymbol{{x}}}}}\boldsymbol{{dx}} \\ $$$$\boldsymbol{\mathrm{Any}}\:\boldsymbol{\mathrm{help}}\: \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 11616 by Nayon last updated on 29/Mar/17 $${EvAluate}\:\int\left({x}^{\mathrm{2}} +\mathrm{9}\right)^{\mathrm{9}} {dx} \\ $$ Answered by Joel576 last updated on 29/Mar/17 $$\mathrm{Let}\:{u}\:=\:{x}^{\mathrm{2}} \:+\:\mathrm{9} \\ $$$$\frac{{du}}{{dx}}\:=\:\mathrm{2}{x}\:\:\Leftrightarrow\:\:{dx}\:=\:\frac{{du}}{\mathrm{2}{x}}\:\:…
Question Number 142687 by iloveisrael last updated on 04/Jun/21 $$\:\:\:\:\:\:\int\:\frac{{dx}}{\:\sqrt{\mathrm{1}−\mathrm{sin}\:{x}}\:\sqrt{\mathrm{1}+\mathrm{cos}\:{x}}}\:=? \\ $$ Answered by qaz last updated on 04/Jun/21 $$\int\frac{\mathrm{dx}}{\:\sqrt{\mathrm{1}−\mathrm{sin}\:\mathrm{x}}\sqrt{\mathrm{1}+\mathrm{cos}\:\mathrm{x}}} \\ $$$$=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\int\frac{\mathrm{dx}}{\left(\mathrm{sin}\:\frac{\mathrm{x}}{\mathrm{2}}−\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}\right)\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}} \\ $$$$=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\int\frac{\mathrm{dx}}{\mathrm{2sin}\:\frac{\mathrm{x}}{\mathrm{2}}\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}−\mathrm{cos}\:^{\mathrm{2}} \frac{\mathrm{x}}{\mathrm{2}}}…
Question Number 11613 by Nayon last updated on 29/Mar/17 $${Can}\:{you}\:{evaluate}\:{the}\:{equation}\:{of} \\ $$$${a}\:{Ellipse}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77149 by Rio Michael last updated on 03/Jan/20 $$\mathrm{Any}\:\mathrm{reference}\:\mathrm{to}\:\mathrm{a}\:\mathrm{book}\:\mathrm{or}\:\mathrm{video} \\ $$$$\mathrm{that}\:\mathrm{coould}\:\mathrm{help}\:\mathrm{me}\:\mathrm{solve}\:\mathrm{Differential}\:\mathrm{equations}?\: \\ $$$$\mathrm{please}\:\mathrm{help} \\ $$ Commented by Learner-123 last updated on 03/Jan/20 $${Advanced}\:{engineering}\:{mathematics}…
Question Number 142681 by mnjuly1970 last updated on 03/Jun/21 $$ \\ $$$$\:\:\:\:{prove}\:\:{that}\::: \\ $$$$\:\:\:\:\:\:\boldsymbol{\phi}:=\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\left(\mathrm{1}+{cos}\left({x}\right)\right)}{\mathrm{1}+{e}^{\:{x}} }{dx}=\mathrm{0} \\ $$$$\:\:\:\:\:……………. \\ $$$$ \\ $$ Commented by…
Question Number 11611 by Nayon last updated on 29/Mar/17 $${Can}\:{you}\:{prove}\:{the}\:{Taylor}'{s}\:{series}\: \\ $$$${without}\:{using}\:{mean}\:{value}\:{theorem}? \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77147 by Rio Michael last updated on 03/Jan/20 $$\:\underset{{r}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{r}^{{k}} }\:{is}\:{divergent}\:{for}: \\ $$$${A}.\:{k}\:\leqslant\:\mathrm{1} \\ $$$${B}.\:{k}\:>\:\mathrm{2} \\ $$$${C}.\:{k}\:\leqslant\:\mathrm{2} \\ $$$${D}.\:\mathrm{0}\:\leqslant\:{k}\:<\:\mathrm{2} \\ $$ Commented…
Question Number 77144 by naka3546 last updated on 03/Jan/20 Commented by naka3546 last updated on 03/Jan/20 $${Find}\:\:{y}\:. \\ $$ Commented by MJS last updated on…