Category: Relation and Functions

Question Number 74800 by mathmax by abdo last updated on 30/Nov/19 $$studytheexistenceoff\left(x\right)={\int }_0^{\mathrm{\infty }}\frac{tcos\left(tx\right)}{1+t^2}dt$$ Answered by mind is power last updated on…

Question Number 74795 by mathmax by abdo last updated on 30/Nov/19 $$studytheconvergenceof\mathrm{\Sigma }\frac{1}{{nH}_n}$$$$with{H}_n=\sum _{k=1}^n\frac{1}{k}$$ Commented by mathmax by abdo…

Question Number 140325 by liberty last updated on 06/May/21 $$$$What is the equation of the circle, if the circle is tangential to the…

Question Number 140076 by bobhans last updated on 04/May/21 Commented by mr W last updated on 05/May/21 $$eqn.2x-3y+a=0fixesonlythe$$$$inclinationoftheline.thevertical$$$$positionwillbedeterminedbythe$$$${value}\:{of}\:{a}.\:{the}\:{distance}\:{from}\:{point} \…

Question Number 140071 by EDWIN88 last updated on 04/May/21 $$\mathrm{For}\mathrm{what}\mathrm{value}\mathrm{of}\mathrm{k}\mathrm{is}\mathrm{the}\mathrm{following}$$$$\mathrm{continous}\mathrm{function}?$$$$\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{l}\frac{\sqrt{7\mathrm{x}+2}-\sqrt{6\mathrm{x}+4}}{\mathrm{x}-2};\mathrm{if}\mathrm{x}⩾-\frac{2}{7}\mathrm{\&}\mathrm{x}\ne 2\\ \mathrm{k};\mathrm{if}\mathrm{x}=2\end{array}$$ Answered by bobhans last updated on 04/May/21 $$\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\mathrm{f}\left(\mathrm{x}\right)=\underset{{x}\rightarrow\mathrm{2}}…