Category: Algebra

Question Number 113975 by I want to learn more last updated on 16/Sep/20 $$\mathrm{Find}\mathrm{the}\mathrm{nth}\mathrm{term}:1,0,-1,0,1,0,-1,0,\dots$$ Answered by Olaf last updated on 16/Sep/20 $${u}_{{n}} \:=\:\mathrm{cos}\left({n}\frac{\pi}{\mathrm{2}}\right)…

Question Number 179494 by a.lgnaoui last updated on 29/Oct/22 $$Evaluer$$$$\int \frac{1-\mathrm{logx}}{1+\mathrm{x}}\mathrm{dx}$$ Answered by ARUNG_Brandon_MBU last updated on 29/Oct/22 $$\int \frac{1-\log x}{1+x}dx$$$$=\mathrm{log}\left(\mathrm{1}+{x}\right)−\underset{{n}=\mathrm{0}} {\overset{\infty}…

Question Number 113913 by Aina Samuel Temidayo last updated on 16/Sep/20 $$\mathrm{Find}\mathrm{the}\mathrm{square}\mathrm{root}\mathrm{of}\sqrt{50}+\sqrt{48}$$ Answered by 1549442205PVT last updated on 16/Sep/20 $$\mathrm{We}\mathrm{have}{(\sqrt{50}+\sqrt{48})}^2=98+2\sqrt{50.48}$$$$=\mathrm{98}+\mathrm{2}\sqrt{\mathrm{25}.\mathrm{16}.\mathrm{6}}=\mathrm{98}+\mathrm{40}\sqrt{\mathrm{6}}…

Question Number 48368 by behi83417@gmail.com last updated on 22/Nov/18 Answered by MJS last updated on 22/Nov/18 $$a^{\frac{1}{3}}-b^{\frac{1}{3}}=c$$$${a}−\mathrm{3}{a}^{\frac{\mathrm{2}}{\mathrm{3}}} {b}^{\frac{\mathrm{1}}{\mathrm{3}}} +\mathrm{3}{a}^{\frac{\mathrm{1}}{\mathrm{3}}} {b}^{\frac{\mathrm{2}}{\mathrm{3}}} −{b}={c}^{\mathrm{3}}…

Question Number 179436 by Shrinava last updated on 29/Oct/22 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{1}{\mathrm{x}}\mathrm{and}\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{x}+2}{2\mathrm{x}+1}$$$$\mathrm{Find}:{\mathrm{g}}^{-1}\left(\mathrm{f}\left(3\right)\right)=?$$ Commented by cherokeesay last updated on 29/Oct/22 $$y=\frac{x+2}{2x+1}\iff 2xy+y=x+2\Rightarrow$$$${x}\left(\mathrm{2}{y}−\mathrm{1}\right)=\mathrm{2}−{y}\Leftrightarrow{x}=\frac{\mathrm{2}−{y}}{\mathrm{2}{y}−\mathrm{1}}…