Category: Arithmetic

Question Number 49357 by peter frank last updated on 06/Dec/18 Commented by maxmathsup by imad last updated on 01/Jan/19 $$2)letprovethat{y}^{\left(n\right)}\left(x\right)=\frac{{(-1)}^{n-1}(n-1)!}{{(1+x)}^n}withy\left(x\right)=ln(1+x)$$$${by}\:{recurrence}\:{on}\:{n}\:\:{for}\:{n}=\mathrm{1}\:\:\:{y}^{\left(\mathrm{1}\right)}…

Question Number 49340 by Tawa1 last updated on 05/Dec/18 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 49299 by peter frank last updated on 05/Dec/18 Commented by maxmathsup by imad last updated on 05/Dec/18 $$a)letI=\int \frac{x{e}^{2x}}{{(1+2x)}^2}dxchangement2x=tgive$$$${I}\:=\int\:\frac{{te}^{{t}} }{\mathrm{2}\left(\mathrm{1}+{t}\right)^{\mathrm{2}}…

Question Number 180363 by peter frank last updated on 11/Nov/22 Answered by mr W last updated on 11/Nov/22 $$t=y^{\frac{1}{2}}$$$$y=t^2$$$$\left(\frac{\mathrm{2}\:\mathrm{log}\:{t}}{\mathrm{log}\:\mathrm{3}}\right)^{\mathrm{2}} −\mathrm{log}\:{t}−\frac{\mathrm{3}}{\mathrm{2}}=\mathrm{0} \…

Question Number 49236 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 $$LetKbeafieldanda,b\in K.Show$$$$that(x-a)(x-b)ifandonlyifa=b$$ Commented by kaivan.ahmadi last updated on 05/Dec/18 $$(\mathrm{x}-\mathrm{a})(\mathrm{x}-\mathrm{b})=?$$ Commented…