Category: Relation and Functions

Question Number 6133 by sanusihammed last updated on 15/Jun/16 $$Findallpositiveintegersnforwhichthereexistnonnegative$$$$integer{a}_1,a_2,a_3,\dots ..,a_n.Suchthat.$$$$\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{1}} } }+\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{2}} } }+…..+\frac{\mathrm{1}}{\mathrm{2}^{{a}_{{n}} } }\:\:=\:\:\frac{\mathrm{1}}{\mathrm{3}^{{a}_{\mathrm{1}} }…

Question Number 5988 by sanusihammed last updated on 08/Jun/16 $$Ifur=logr$$$$showthat\sum _{r=1}^{10}ur=log3628800$$$$$$$$pleasehelp.$$ Answered by Yozzii last updated…

Question Number 136861 by bramlexs22 last updated on 27/Mar/21 $$\mathrm{Given}\mathrm{f}\left(\sqrt{\mathrm{x}+9}\right)=5\mathrm{x}\mathrm{and}\mathrm{f}\left(\mathrm{a}\right)={4\mathrm{a}}^2$$$$\mathrm{find}\mathrm{the}\mathrm{possible}\mathrm{value}\mathrm{of}\mathrm{a}.$$$$$$ Answered by EDWIN88 last updated on 27/Mar/21 $$\:\mathrm{we}\:\mathrm{have}\:\begin{cases}{\mathrm{a}=\sqrt{\mathrm{x}+\mathrm{9}}\:,\:\mathrm{x}=\mathrm{a}^{\mathrm{2}} −\mathrm{9}}\{\mathrm{4a}^{\mathrm{2}}…

Question Number 136740 by bramlexs22 last updated on 25/Mar/21 $$\mathrm{Given}\mathrm{f}\left({2\mathrm{f}}^{-1}\left(\mathrm{x}\right)\right)=\frac{\mathrm{x}}{2-\mathrm{x}}.$$$$\mathrm{what}\mathrm{is}\mathrm{f}\left(\mathrm{x}\right)?$$ Answered by Olaf last updated on 25/Mar/21 $$$$$${f}\left(\mathrm{2}{f}^{−\mathrm{1}}…

Question Number 71143 by mathmax by abdo last updated on 12/Oct/19 $$let{A}_n=\sum _{k=0}^n\frac{1}{3k+1}calculate{A}_{n}interms{H}_n=\sum _{k=1}^n\frac{1}{k}$$ Commented by mathmax by…