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Question-11019

Question Number 11019 by ridwan balatif last updated on 07/Mar/17 Answered by bahmanfeshki last updated on 07/Mar/17 $${I}=\int_{\mathrm{2}} ^{{n}} {xe}^{−\mathrm{2}{x}+\mathrm{4}} \:{dx}=−\frac{\mathrm{1}}{\mathrm{2}}\left(\left[{xe}^{−\mathrm{2}{x}+\mathrm{4}} \right]_{\mathrm{2}} ^{{n}} −\int_{\mathrm{2}\:\:} ^{{n}}…

Prove-that-3-gt-log-2-3-2-gt-2-

Question Number 10995 by Nadium last updated on 06/Mar/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{3}>\left(\mathrm{log}_{\mathrm{2}} \mathrm{3}\right)^{\mathrm{2}} >\mathrm{2}. \\ $$ Commented by FilupS last updated on 06/Mar/17 $$\mathrm{for}\:\:{l}=\mathrm{log}_{{n}} {x} \\ $$$$\mathrm{if}\:{n}>\mathrm{1}\:\mathrm{and}\:{x}\geqslant\mathrm{1},\:{l}\geqslant\mathrm{0}…

Question-10981

Question Number 10981 by ridwan balatif last updated on 05/Mar/17 Commented by prakash jain last updated on 06/Mar/17 $$\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{4}\right)={x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}+\mathrm{3}=\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{3}\geqslant\mathrm{3}>\mathrm{0} \\ $$$$\mid\mathrm{3}{x}−\mathrm{6}\mid\geqslant\mathrm{0} \\…

Given-that-fog-x-2x-1-x-and-g-x-5x-2-Find-f-x-

Question Number 142052 by Rankut last updated on 26/May/21 $$\boldsymbol{\mathrm{Given}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{fog}}\left(\boldsymbol{\mathrm{x}}\right)=\frac{\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{1}}{\boldsymbol{\mathrm{x}}}\:\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{g}}\left(\boldsymbol{\mathrm{x}}\right)=\mathrm{5}\boldsymbol{\mathrm{x}}+\mathrm{2}, \\ $$$$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right). \\ $$$$ \\ $$ Answered by iloveisrael last updated on 26/May/21 $$\Rightarrow{f}\left(\mathrm{5}{x}+\mathrm{2}\right)=\frac{\mathrm{2}{x}−\mathrm{1}}{{x}} \\…