Category: Relation and Functions

Question Number 95211 by mathmax by abdo last updated on 24/May/20 $$\mathrm{solve}\mathrm{by}\mathrm{Laplace}\mathrm{transform}$$$$(\mathrm{x}+1){\mathrm{y}}^{{}^{\prime }}-{\mathrm{x}}^2\mathrm{y}=\sin \left(2\mathrm{x}\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 95140 by i jagooll last updated on 23/May/20 $$\mathrm{what}\mathrm{is}\mathrm{range}\mathrm{of}\mathrm{a}\mathrm{function}$$$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{x}+1}{\sqrt{{\mathrm{x}}^2-1}}$$ Commented by bobhans last updated on 23/May/20 $$\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\:\mathrm{is}\:\mathrm{valid}\:\mathrm{when}\:\mathrm{x}^{\mathrm{2}}…

Question Number 29554 by abdo imad last updated on 09/Feb/18 $$letgivef\left(x\right)=x^{2}cos\left(\frac{1}{x^2}\right)ifx\in ]0,1]butitsderivative{f}^{{}^{\prime }}$$$$isnotintegrableon]0,1].$$ Commented by abdo imad last updated on 14/Feb/18…

Question Number 29507 by abdo imad last updated on 09/Feb/18 $$solve\left[\sqrt{x}\right]-x+1=0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 29503 by abdo imad last updated on 09/Feb/18 $$let{U}_{n,p}=\sum _{k=1}^n\frac{1}{{(n+k)}^{p+1}}withn,pfrom{N}^{★}$$$$1)calculate{lim}_{n\to +\mathrm{\infty }}{U}_{n,p}forp⩾2$$$$2)provethat{U}_{n,1}isconvergent$$$$\left.\mathrm{3}\right)\:{let}\:{V}_{{n}} =\:\sum_{{k}=\mathrm{1}}…