Category: Relation and Functions

Question Number 30747 by abdo imad last updated on 25/Feb/18 $$letf\left(x\right)=\sqrt{1+x^2}$$$$1)findad.e.wichverifyf\left(x\right)$$$$2)provethat\mathrm{\forall }x\in R,\mathrm{\forall }n\in N$$$$(1+x^2)f^{(n+2)}\left(x\right)+(2n+1)x{f}^{(n+1)}\left(x\right)+(n^2-1)f^{\left(n\right)}\left(x\right)=0$$$$\left.\mathrm{3}\right)\:{prove}\:{that}\:\:{f}^{\left(\mathrm{2}{n}+\mathrm{1}\right)}…

Question Number 96200 by mathmax by abdo last updated on 30/May/20 $$\mathrm{solve}{\mathrm{y}}^{{}^{″}}+{\mathrm{y}}^{{}^{\prime }}-2\mathrm{y}=\mathrm{xcosx}\mathrm{with}{\mathrm{y}}^{\left(2\right)}\left(0\right)=1\mathrm{and}{\mathrm{y}}^{{}^{\prime }}\left(0\right)=-2$$ Answered by mathmax by abdo last updated…

Question Number 96194 by mathmax by abdo last updated on 30/May/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)=\ln \left(\mathrm{cosx}\right)\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Answered by john santu last updated on 30/May/20 $$\mathrm{ln}\left(\mathrm{cos}\:\mathrm{x}\right)\:=\:\mathrm{ln}\:\left(\frac{{e}^{{ix}} +{e}^{−{ix}} }{\mathrm{2}}\right)…

Question Number 30565 by abdo imad last updated on 23/Feb/18 $$letf\left(x\right)=\frac{1}{n!}{(px-{qx}^2)}^{n}findmaxf.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 30560 by abdo imad last updated on 23/Feb/18 $$studytherootsof{f}_n\left(x\right)=\sum _{k=0}^n\frac{x^k}{k!}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com