Question Number 167899 by peter frank last updated on 28/Mar/22 Answered by floor(10²Eta[1]) last updated on 29/Mar/22 $$\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{n}} =\mathrm{1}+\left(_{\mathrm{1}} ^{\mathrm{n}} \right)\mathrm{x}+\left(_{\mathrm{2}} ^{\mathrm{n}} \right)\mathrm{x}^{\mathrm{2}} +…+\left(_{\mathrm{r}−\mathrm{1}} ^{\mathrm{n}}…
Question Number 167889 by mathlove last updated on 28/Mar/22 Answered by MJS_new last updated on 28/Mar/22 $${y}={x}^{{y}} \\ $$$$\Rightarrow\:\frac{{dx}}{{dy}}=\frac{{x}^{{y}} {y}}{{x}\left(\mathrm{1}−{x}^{{y}} \mathrm{ln}\:{x}\right)} \\ $$ Terms of…
Question Number 102342 by bemath last updated on 08/Jul/20 $${If}\:\begin{cases}{{x}=\mathrm{2}{t}+\mathrm{sin}\:\mathrm{2}{t}}\\{{y}={e}^{\mathrm{sin}\:\mathrm{2}{t}} }\end{cases} \\ $$$${prove}\:{that}\:\frac{\mathrm{1}}{{y}}.\frac{{dy}}{{dx}}\:=\:\mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}−{t}\right) \\ $$ Commented by Dwaipayan Shikari last updated on 08/Jul/20 $${There}\:{is}\:{some}\:{error}\:{in}\:{question}\:\:{if}\:\:\:{x}=\mathrm{2}{t}−{cos}\mathrm{2}{t}\:\:{then}\:{the}\:{prove}\:{is}\:{true} \\…
Question Number 102328 by bemath last updated on 08/Jul/20 Answered by bobhans last updated on 08/Jul/20 $$\left({ii}\right)\:{y}=\:\mathrm{2ln}\left(\frac{\sqrt{\mathrm{8}{x}−\mathrm{4}}}{{x}}\right)\:\Rightarrow{x}\:\geqslant\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${y}\:=\:\mathrm{ln}\left(\frac{\mathrm{8}{x}−\mathrm{4}}{{x}^{\mathrm{2}} }\right)\:\Rightarrow{e}^{{y}} .{x}^{\mathrm{2}} \:=\:\mathrm{8}{x}−\mathrm{4} \\ $$$${e}^{{y}} .{x}^{\mathrm{2}}…
Question Number 102323 by Learner101 last updated on 08/Jul/20 $${Solve}\:{this}\:{linear}\:{Equation} \\ $$$$\frac{{dy}}{{dx}}\:+\:{y}\:{cos}\:{x}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:{sin}\:{x} \\ $$ Answered by bemath last updated on 08/Jul/20 $${IF}\:\:{u}\left({x}\right)={e}^{\int\mathrm{cos}\:{x}\:{dx}} \:=\:{e}^{\mathrm{sin}\:{x}} \\ $$$${y}\left({x}\right)=\frac{\int\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{sin}\:{x}\:{e}^{\mathrm{sin}\:{x}}…
Question Number 167838 by cortano1 last updated on 27/Mar/22 $$\:\:\:\:\:\:\frac{{dy}}{{dx}}=\mathrm{8}{x}+\mathrm{4}{y}+\left(\mathrm{2}{x}+{y}−\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:{y}=? \\ $$ Answered by mr W last updated on 27/Mar/22 $${let}\:{u}=\mathrm{2}{x}+{y}−\mathrm{1} \\ $$$$\frac{{du}}{{dx}}=\mathrm{2}+\frac{{dy}}{{dx}}…
Question Number 36746 by prof Abdo imad last updated on 05/Jun/18 $${solve}\:{the}\:{d}.{e}.\:{y}^{''} \left({t}\right)\:+{y}\left({t}\right)=\sum_{{n}=\mathrm{0}} ^{{N}} \:{a}_{{n}} {cos}\left({nt}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 36745 by prof Abdo imad last updated on 05/Jun/18 $${solve}\:{the}\:{d}.{e}\:\:{y}^{''} \left({t}\right)\:+{y}\left({t}\right)={cos}\left({nt}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 167709 by mnjuly1970 last updated on 23/Mar/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 36590 by ajfour last updated on 03/Jun/18 Commented by ajfour last updated on 03/Jun/18 $${Find}\:{maximum}\:{area}\:{of}\:\bigtriangleup{ABC} \\ $$$${if}\:{one}\:{vertex}\:{is}\:{on}\:{smaller}\:{circle} \\ $$$${of}\:{radius}\:\boldsymbol{{r}}\:{and}\:{other}\:{two}\:{on}\: \\ $$$${larger}\:{circle}\:{of}\:{radius}\:\boldsymbol{{R}}\:. \\ $$$${The}\:{distance}\:{between}\:{centres}\:{of}…