Question Number 130894 by EDWIN88 last updated on 30/Jan/21 $${Find}\:{the}\:{function}\:{f}\left({x}\right)\:{if}\: \\ $$$$\:\mathrm{3}{f}\left({x}−\mathrm{1}\right)−{f}\left(\frac{\mathrm{1}−{x}}{{x}}\right)\:=\:\mathrm{2}{x}\: \\ $$ Commented by benjo_mathlover last updated on 30/Jan/21 այս հարցը շատ հետաքրքիր է Commented by EDWIN88…
Question Number 65297 by mathmax by abdo last updated on 28/Jul/19 $${let}\:\:\:{U}_{{n}} \:\:{a}\:{sequence}\:{wich}\:{verify}\:\:{U}_{{n}} \:+{U}_{{n}+\mathrm{1}} +{U}_{{n}+\mathrm{2}} \:={n}\left(−\mathrm{1}\right)^{{n}} \\ $$$${for}\:{all}\:{integr}\:{n}\:\:\:{calculate}\:{interms}\:{of}\:{n} \\ $$$${A}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\left(−\mathrm{1}\right)^{{k}} \:{U}_{{k}} \\…
Question Number 65285 by mathmax by abdo last updated on 27/Jul/19 $${let}\:{f}\left({x}\right)\:={e}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{1}−{x}\right) \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by mathmax by abdo last updated…
Question Number 130771 by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\mathrm{find}\:\mathrm{e}^{\mathrm{A}} \:\mathrm{and}\:\mathrm{e}^{−\mathrm{A}} \\ $$$$\left.\mathrm{2}\right)\mathrm{calculate}\:\mathrm{ch}\left(\mathrm{A}\right)\mathrm{and}\:\mathrm{sh}\left(\mathrm{A}\right) \\ $$ Answered by Olaf last updated on…
Question Number 65193 by mathmax by abdo last updated on 26/Jul/19 $${U}_{{n}} \:{is}\:{a}\:{sequence}\:{wich}\:{verify}\:{U}_{{n}} +{U}_{{n}+\mathrm{1}} ={n}\:{for}\:{all}\:{integr}\:{n} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{U}_{{n}} \:{intrem}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{nature}\:{of}\:{the}\:{serie}\:\Sigma\:\frac{{U}_{{n}} }{{n}^{\mathrm{2}} } \\ $$ Commented…
Question Number 130726 by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{find}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\:\int_{\mathrm{0}} ^{\mathrm{n}} \left(\mathrm{1}−\frac{\mathrm{t}}{\mathrm{n}}\right)^{\mathrm{n}} \:\mathrm{arctan}\left(\frac{\mathrm{2}}{\mathrm{x}}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130714 by greg_ed last updated on 28/Jan/21 $$\left.{f}\left.\::\:\right]\mathrm{0}\:,\:\pi\right]\:\rightarrow\:\left[\mathrm{0}\:,\:\mathrm{1}\right] \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{x}\:\:\:\: \:\:\:\mathrm{sin}\:{x} \\ $$$${f}\:\:\mathrm{injective}\:?\:{f}\:\mathrm{surjective}\:?\:{f}\:\mathrm{bijective}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130699 by LYKA last updated on 28/Jan/21 Answered by MJS_new last updated on 28/Jan/21 $${z}=\mathrm{ln}\:\left({x}−\mathrm{2}{y}+\mathrm{3}\right) \\ $$$${x}−\mathrm{2}{y}+\mathrm{3}>\mathrm{0}\:\Leftrightarrow\:{y}<\frac{{x}}{\mathrm{2}}+\frac{\mathrm{3}}{\mathrm{2}}\wedge{x}\in\mathbb{R}\:\Rightarrow\:{z}\in\mathbb{R} \\ $$ Terms of Service Privacy…
Question Number 130674 by yoba last updated on 27/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130670 by EDWIN88 last updated on 27/Jan/21 $$\:{Given}\:{f}\left({x}\right)=\sqrt{{ax}+{b}}\:;\:{g}\left({x}\right)={px}+{q} \\ $$$${and}\:{f}\left({x}\right)<{g}\left({x}\right)\:{has}\:{solution} \\ $$$$\mathrm{1}<{x}<\mathrm{5}.\:{Give}\:{one}\:{example}\:{f}\left({x}\right) \\ $$$${and}\:{g}\left({x}\right)\:{satisfy}\:{the}\:{condition} \\ $$ Commented by MJS_new last updated on 28/Jan/21…