Category: Relation and Functions

Question Number 120272 by cantor last updated on 30/Oct/20 $$\phi \left(x\right)={\mathit{x}}^{\mathit{r}}$$$$\mathit{w}\mathit{h}\mathit{e}\mathit{r}\mathit{e}\mathit{x}\in [0,+\mathrm{\infty }[\mathit{a}\mathit{n}\mathit{d}0<\mathit{r}⩽1$$$$shownthatforany(\mathit{x},\mathit{y})\in {\mathbb{R}}_{+}^2$$$$\mathit{\phi }(\mathit{x}+\mathit{y})⩽\mathit{\phi }\left(\mathit{x}\right)+\mathit{\phi }\left(\mathit{y}\right)$$$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}$$ Terms of Service Privacy…

Question Number 54675 by maxmathsup by imad last updated on 09/Feb/19 $${simplify}\:\:{A}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{k}^{\mathrm{2}} \:{C}_{{n}} ^{{k}} \:{cos}\left({k}\theta\right)\:{and}\:{B}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{k}^{\mathrm{2}} \:{C}_{{n}} ^{{k}} \:{sin}\left({k}\theta\right)\:. \…

Question Number 54504 by afachri last updated on 05/Feb/19 $$\mathbf{please},\mathbf{Sir}.\mathbf{Would}\mathbf{u}\mathbf{explain}\mathbf{to}\mathbf{me}\mathbf{how}?$$$$\mathbf{if}\mathit{f}\left(\frac{\mathit{x}}{\mathit{x}-1}\right)+2\mathit{f}\left(\frac{\mathit{x}-1}{\mathit{x}}\right)=\frac{\mathit{x}}{\mathit{x}-1},$$$$\mathbf{then}\mathit{f}\left(\mathit{x}\right)\mathbf{is}\dots .$$ Answered by tanmay.chaudhury50@gmail.com last updated on 05/Feb/19 $${f}\left({a}\right)+\mathrm{2}{f}\left(\frac{\mathrm{1}}{{a}}\right)={a}\:×\mathrm{2} \…

Question Number 54369 by maxmathsup by imad last updated on 02/Feb/19 $$find{lim}_{x\to 1}(\xi \left(x\right)-\frac{1}{x-1})$$ Commented by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19 $$whatis\xi \left(x\right)\dots$$…

Question Number 119837 by mathmax by abdo last updated on 27/Oct/20 $$\mathrm{find}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}{\int }_0^{\sqrt{\mathrm{n}}}{(1-\frac{\mathrm{x}}{\sqrt{\mathrm{n}}})}^{\sqrt{2\mathrm{n}}}\arctan \left(\frac{\pi \mathrm{x}}{\mathrm{n}}\right)\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com