Category: Relation and Functions

Question Number 9571 by PANKAJ last updated on 16/Dec/16 Answered by ridwan balatif last updated on 17/Dec/16 $$1.(\frac{\mathrm{x}}{3}+1,\mathrm{y}-\frac{2}{3})=(\frac{5}{3},\frac{1}{3})$$$$\frac{\mathrm{x}}{3}+1=\frac{5}{3}\mathrm{y}-\frac{2}{3}=\frac{1}{3}$$$$\frac{\mathrm{x}}{3}=\frac{2}{3}\mathrm{y}=1$$$$\mathrm{x}=\mathrm{2} \…

Question Number 140636 by Mathspace last updated on 10/May/21 $$calculate\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^n}{n^2(n+1){(2n+1)}^2}$$ Answered by Dwaipayan Shikari last updated on 10/May/21…

Question Number 75063 by mathmax by abdo last updated on 06/Dec/19 $$calculate\sum _{n=1}^{17}\frac{{(-1)}^n}{n^3}$$ Commented by mathmax by abdo last updated…

Question Number 140470 by EDWIN88 last updated on 08/May/21 $${\left(\mathrm{f}\left(\mathrm{x}\right)\right)}^2.\mathrm{f}\left(\frac{1-\mathrm{x}}{1+\mathrm{x}}\right)=64\mathrm{x},\mathrm{\forall }\mathrm{x}\in \mathrm{D}$$$$\Rightarrow \mathrm{f}\left(\mathrm{x}\right)=?$$ Answered by benjo_mathlover last updated on 08/May/21 $$\left(\mathrm{1}\right)\:\left(\mathrm{f}\left(\mathrm{x}\right)\right)^{\mathrm{2}} .\mathrm{f}\left(\frac{\mathrm{1}−\mathrm{x}}{\mathrm{1}+\mathrm{x}}\right)\:=\:\mathrm{64x} \…

Question Number 74887 by abdomathmax last updated on 03/Dec/19 $$calculate\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^n}{(n+1)n^3}$$ Commented by mathmax by abdo last updated on 21/Dec/19…