Category: Relation and Functions

Question Number 98184 by abdomathmax last updated on 12/Jun/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\int }_0^{\mathrm{\infty }}\frac{\cos \left(\mathrm{xt}\right)}{{({\mathrm{t}}^2+4)}^2}\mathrm{dt}\mathrm{find}{\int }_0^1\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}$$ Answered by mathmax by abdo last updated…

Question Number 98180 by abdomathmax last updated on 12/Jun/20 $$\mathrm{solve}{\mathrm{xy}}^{{}^{″}}+({\mathrm{x}}^3+1)\mathrm{y}={3\mathrm{e}}^{2\mathrm{x}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 98118 by abdomathmax last updated on 11/Jun/20 $$\mathrm{calculate}\sum _{\mathrm{n}=1}^{\mathrm{\infty }}(\xi \left(2\mathrm{n}\right)-1){\mathrm{x}}^{2\mathrm{n}}$$$$\xi \left(\mathrm{x}\right)=\sum _{\mathrm{n}=1}^{\mathrm{\infty }}\frac{1}{{\mathrm{n}}^{\mathrm{x}}}$$ Answered by maths mind last updated…

Question Number 32489 by NECx last updated on 26/Mar/18 $$findtherangeoff\left(x\right)=1+\sqrt{2x-1}$$ Commented by prof Abdo imad last updated on 28/Mar/18 $${D}_{{f}} =\left[\frac{\mathrm{1}}{\mathrm{2}},+\infty\left[\:\:{and}\:{f}^{'} \left({x}\right)\:=\:\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}{x}−\mathrm{1}}}\:\:>\mathrm{0}\:{on}\right]\frac{\mathrm{1}}{\mathrm{2}},+\infty\left[\right.\right. \…

Question Number 32487 by abdo imad last updated on 25/Mar/18 $$letx>1and\xi \left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^x}\left(zetafunctionofRieman\right)$$$$1)calculate{lim}_{x\to +\mathrm{\infty }}\xi \left(x\right)$$$$2)letconsiders\left(x\right)=\sum _{n=2}^{\mathrm{\infty }}\frac{\xi \left(n\right)}{n}{x}^{n}studytheconvergence$$$${of}\:{s}\left({x}\right)\:{and}\:{find}\:{a}\:{simple}\:{form}\:{of}\:{s}\left({x}\right). \…