Category: Relation and Functions

Question Number 15463 by myintkhaing last updated on 10/Jun/17 $$Findthedomainandrangeofafunctionforwhichf\left(x\right)=\frac{1+2x}{x}.$$ Answered by Tinkutara last updated on 10/Jun/17 $$f\left(x\right)\mathrm{is}\mathrm{defined}\mathrm{\forall }x\in R-\left\{0\right\}.$$$$\mathrm{Domain}=R-\left\{0\right\}$$$$\mathrm{Let}\:{y}\:=\:\frac{\mathrm{2}{x}\:+\:\mathrm{1}}{{x}} \…

Question Number 146497 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{2}{\mathrm{x}}{\int }_0^{\mathrm{x}}\frac{{\mathrm{t}}^2}{\sqrt{1+{\mathrm{t}}^2}}\mathrm{dt}\mathrm{calculate}{\lim }_{\mathrm{x}\to 0}\mathrm{f}\left(\mathrm{x}\right)$$ Answered by gsk2684 last updated on…

Question Number 15302 by Tinkutara last updated on 10/Jun/17 $$\mathrm{Prove}\mathrm{that}\mathrm{number}\mathrm{of}\mathrm{commutative}$$$$\mathrm{binary}\mathrm{operations}\mathrm{on}\mathrm{a}\mathrm{set}\mathrm{having}n$$$$\mathrm{elements}\mathrm{is}{n}^{\frac{n(n-1)}{2}}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 146363 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}{\int }_{-\mathrm{i}}^{1+\mathrm{i}}({\mathrm{x}}^2-\mathrm{iy})\mathrm{dz}\mathrm{along}\mathrm{y}={\mathrm{x}}^3$$ Answered by mathmax by abdo last updated on…

Question Number 80813 by mathmax by abdo last updated on 06/Feb/20 $$calculate\sum _{n=2}^{\mathrm{\infty }}\frac{\xi \left(n\right)-1}{n}with\xi \left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^x}(x>1)$$ Answered by mind is power last…