Category: Arithmetic

Question Number 211020 by peter frank last updated on 26/Aug/24 Answered by mahdipoor last updated on 26/Aug/24 $$dV=\left(\pi y^2\right)\left(dx\right)=\pi \frac{{(x-a)}^2{(x-b)}^2}{c^2}dx$$$${V}=\int{dV}=\frac{\pi}{{c}^{\mathrm{2}} }\int_{{a}}…

Question Number 210974 by bns970 last updated on 25/Aug/24 $$\sqrt{25}$$ Answered by TonyCWX08 last updated on 25/Aug/24 $$\sqrt{25}$$$$=\pm 5$$ Commented…

Question Number 210719 by lmcp1203 last updated on 17/Aug/24 $$find63{!}^{36!}mod97thanks$$ Answered by A5T last updated on 19/Aug/24 $$\varphi \left(97\right)=96$$$$36!\equiv 0\left(mod96\right)\Rightarrow 36!=96k$$$$\left(\mathrm{63}!,\mathrm{97}\right)=\mathrm{1}\Rightarrow\mathrm{63}!^{\mathrm{36}!}…

Question Number 210607 by peter frank last updated on 13/Aug/24 Answered by A5T last updated on 14/Aug/24 $$\mathrm{75}\left(\mathrm{5}^{\mathrm{3}{log}_{\mathrm{2}} {x}} \right)=\mathrm{75}\left(\mathrm{2}^{{log}_{\mathrm{2}} \mathrm{5}} \right)^{{log}_{\mathrm{2}} {x}×\mathrm{3}} =\mathrm{75}\left(\mathrm{2}^{{log}_{\mathrm{2}} {x}}…

Question Number 209892 by lmcp1203 last updated on 25/Jul/24 $$find{40}^{71}mod437.thanks$$$$its67buthow?$$ Answered by Rasheed.Sindhi last updated on 25/Jul/24 $$\mathrm{40}^{\mathrm{25}} \equiv\mathrm{14}\:\left({mod}\:\mathrm{437}\right) \…