Question Number 1676 by hhhggvghhh last updated on 31/Aug/15 $$\boldsymbol{{hhjghhjjgkggjggigfhpppkknbgjffffg}} \\ $$$$\boldsymbol{{biuggjnggtbnkoyfhjiuhbhuklphh}} \\ $$$$\boldsymbol{{jinbh}}\mathrm{678656}\boldsymbol{{kkiohhuggjngffjkkdooxk}} \\ $$$$\boldsymbol{{ikhhkjhv}}\mathrm{2}\left[\mathrm{65}\sqrt{\sqrt{\mathrm{58}\:\mathrm{889}<\boldsymbol{{lkkjkbmbbnnb}}}}\right. \\ $$$$\boldsymbol{{jkkhjm}}\sqrt{\boldsymbol{{nlm}}\mathrm{6}\boldsymbol{{jikmbh}}\sqrt{\boldsymbol{{jlbj}}}} \\ $$$$\boldsymbol{{jljbnkbbnmnmmnjknbjnrurubv}}\underset{\boldsymbol{{nkjnbmm}}} {\boldsymbol{{m}}} \\ $$$$\boldsymbol{{jjnbbnjnnj}}^{} \\ $$$$\boldsymbol{{nkn}}…
Question Number 1675 by hhhggvghhh last updated on 31/Aug/15 $${scv}\mathrm{2}\left\{{bb}\mathrm{3}{vjhkhbkj}\right\} \\ $$$${nnmvhkvgj}\mathrm{6}{vvfukfjjkhnkgwqqkin} \\ $$$${ckkmnbmbjknn} \\ $$ Answered by 123456 last updated on 31/Aug/15 $${f}_{\omega} \left({z}\right)=\underset{{z}_{\mathrm{0}}…
Question Number 132747 by aurpeyz last updated on 16/Feb/21 Commented by mr W last updated on 16/Feb/21 $$\frac{\mathrm{1}}{{s}}+\frac{\mathrm{1}}{{s}'}=\frac{\mathrm{2}}{{R}} \\ $$$$\frac{\mathrm{1}}{{s}}+\frac{\mathrm{1}}{−\mathrm{2}}=\frac{\mathrm{2}}{−\mathrm{12}} \\ $$$$\frac{\mathrm{1}}{{s}}=\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\Rightarrow{s}=\mathrm{3} \\…
Question Number 67208 by mr W last updated on 24/Aug/19 $${Find}\:{the}\:{times}\:{in}\:{a}\:{day}\:{when} \\ $$$${the}\:{hour}'{s},\:{minute}'{s}\:{and}\:{second}'{s} \\ $$$${hand}\:{of}\:{a}\:{clock}\:{occupy}\:{the}\:{same} \\ $$$${angular}\:{position}. \\ $$$$\left[{old}\:{question}\:{reposted}\right] \\ $$ Commented by Kunal12588 last…
Question Number 1673 by 123456 last updated on 31/Aug/15 $$\omega\in\mathbb{R},\omega>\mathrm{0} \\ $$$$\mathrm{0}<\alpha<\beta \\ $$$${f}_{{m}} \left(\alpha,\beta\right)=\frac{\omega}{\beta−\alpha}\underset{\alpha/\omega} {\overset{\beta/\omega} {\int}}\mathrm{sin}\:\left(\omega{t}\right){dt} \\ $$$${f}_{{r}} \left(\alpha,\beta\right)=\sqrt{\frac{\omega}{\beta−\alpha}\underset{\alpha/\omega} {\overset{\beta/\omega} {\int}}\mathrm{sin}^{\mathrm{2}} \left(\omega{t}\right){dt}} \\ $$$${f}_{{m}}…
Question Number 1672 by 123456 last updated on 30/Aug/15 $$\mathrm{lets}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{be}\:\mathrm{two}\:\mathrm{finite}\:\mathrm{sets},\:\mathrm{proof}\:\left(\mathrm{or}\:\mathrm{give}\:\mathrm{a}\:\mathrm{counter}\:\mathrm{example}\right)\:\mathrm{that} \\ $$$$\mid\mathrm{A}\cup\mathrm{B}\mid\leqslant\mid\mathrm{A}\cap\mathrm{B}\mid\:\Rightarrow\:\mathrm{A}=\mathrm{B} \\ $$ Answered by Rasheed Soomro last updated on 01/Sep/15 $$\boldsymbol{\mathrm{Case}}−\mathrm{1}\:\boldsymbol{\mathrm{W}}\mathrm{hen}\:\boldsymbol{\mathrm{A}}\cap\boldsymbol{\mathrm{B}}=\varnothing\:,\:\mid\:\boldsymbol{\mathrm{A}}\cap\boldsymbol{\mathrm{B}}\:\mid=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{SubCase}}\:\:\left(\boldsymbol{\mathrm{a}}\right)\:\boldsymbol{\mathrm{At}}\:\boldsymbol{\mathrm{least}}\:\boldsymbol{\mathrm{one}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{A}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{B}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{nonempty}}.…
Question Number 132741 by mnjuly1970 last updated on 16/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:\:\:{calculus}… \\ $$$$\:\:\int_{\mathrm{0}^{\:\:\:\:} \:\:} ^{\:\mathrm{1}} \frac{{dx}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{5}}} }\:=? \\ $$ Commented by MJS_new last updated…
Question Number 1668 by 123456 last updated on 30/Aug/15 $$\frac{{f}\left({x}\right)+{f}\left({y}\right)}{\mathrm{2}}={f}\left(\frac{{x}+{y}}{\mathrm{2}}\right),\forall{x},{y}\in\mathbb{R} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Rasheed Ahmad last updated on 30/Aug/15 $${f}\left({x}\right)\:{has}\:{two}\:{properties}: \\ $$$$\left(\mathrm{1}\right)\:{f}\left({cx}\right)={cf}\left({x}\right)\:{for}\:{constant}\:{c}…
Question Number 132733 by bagjagunawan last updated on 16/Feb/21 $$\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{log}\:{x}}{\mathrm{1}+{x}^{\mathrm{2}} +{x}^{\mathrm{4}} }\:{dx}=…? \\ $$ Answered by Ajetunmobi last updated on 16/Feb/21 Terms of…
Question Number 67197 by necxxx last updated on 23/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{2}} {x}^{\mathrm{5}} \left(\mathrm{1}−\frac{{x}}{\mathrm{2}}\right)^{\mathrm{4}} {dx} \\ $$ Answered by turbo msup by abdo last updated on…