Question Number 206681 by cortano21 last updated on 22/Apr/24 $$\:\:\:\cancel{{s}} \\ $$$$ \\ $$ Commented by A5T last updated on 22/Apr/24 $${This}\:{question}\:{is}\:{similar}\:{to}\:{Q}\mathrm{202257},\:{does}\:{it} \\ $$$${also}\:{mean}\:{every}\:{wife}\:{cannot}\:{come}\:{before}\:{her} \\…
Question Number 206677 by mr W last updated on 22/Apr/24 Answered by mr W last updated on 22/Apr/24 Commented by mr W last updated on…
Question Number 206695 by hardmath last updated on 22/Apr/24 $$\mathrm{If}\:\:\:\sqrt[{\mathrm{10}}]{\mathrm{2}}\:\left(\mathrm{cos}\:\mathrm{9}°\:+\:\boldsymbol{\mathrm{i}}\:\mathrm{sin}\:\mathrm{9}°\right) \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{z}}^{\mathrm{5}} \:=\:? \\ $$ Answered by A5T last updated on 22/Apr/24 $${z}=\sqrt[{\mathrm{10}}]{\mathrm{2}}{e}^{{i}\left(\mathrm{9}°\right)} \Rightarrow{z}^{\mathrm{5}} =\sqrt{\mathrm{2}}{e}^{{i}\left(\mathrm{45}°\right)}…
Question Number 206679 by mathlove last updated on 22/Apr/24 $${if}\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)+\mathrm{2}{g}\left(\mathrm{1}−{x}\right)={x}^{\mathrm{2}} \\ $$$${and}\:\:\:\:\:\:\:\:{f}\left(\mathrm{1}−{x}\right)−{g}\left({x}\right)={x}^{\mathrm{2}} \\ $$$${then}\:\:\:\:\:\:\:{f}\left({x}\right)=? \\ $$ Answered by A5T last updated on 22/Apr/24 $${f}\left({x}\right)+\mathrm{2}{g}\left(\mathrm{1}−{x}\right)={x}^{\mathrm{2}} …\left({i}\right)…
Question Number 206704 by mr W last updated on 22/Apr/24 Commented by mr W last updated on 22/Apr/24 $${find}\:\frac{\Delta_{{XYZ}} }{\Delta_{{ABC}} }=? \\ $$ Answered by…
Question Number 206674 by 073 last updated on 22/Apr/24 Answered by Frix last updated on 22/Apr/24 $$\Gamma\left({x}\right)=\underset{\mathrm{0}} {\overset{\infty} {\int}}{t}^{{x}−\mathrm{1}} \mathrm{e}^{−{t}} {dt} \\ $$$$\frac{{d}\Gamma\left({x}\right)}{{dx}}=\Gamma'\left({x}\right)=\underset{\mathrm{0}} {\overset{\infty} {\int}}{t}^{{x}−\mathrm{1}}…
Question Number 206675 by BaliramKumar last updated on 22/Apr/24 $$ \\ $$There are three positive integers a, b, and c such that their average is…
Question Number 206645 by Red1ight last updated on 21/Apr/24 $$\mathrm{Let}\:{f}\left({x}\right)={x}\left({x}−\mathrm{10}\right) \\ $$$$\mathrm{and}\:\mathrm{let}\:\mathrm{A}\:\mathrm{be}\:\mathrm{the}\:\mathrm{region}\:\mathrm{enclosed}\:\mathrm{within} \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{points} \\ $$$$\left(\mathrm{2},\mathrm{7}\right),\left(\mathrm{8},\mathrm{7}\right),\left(\mathrm{2},\mathrm{4}\right),\left(\mathrm{8},\mathrm{4}\right) \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{average}\:\mathrm{arc}\:\mathrm{length}\:\mathrm{of}\:\mathrm{a}\centerdot{f}\left({x}\right) \\ $$$$\mathrm{inside}\:\mathrm{A},{a}\in\mathbb{R}^{−} \\ $$ Commented by mr…
Question Number 206640 by cortano21 last updated on 21/Apr/24 Answered by mr W last updated on 21/Apr/24 Commented by mr W last updated on 21/Apr/24…
Question Number 206642 by universe last updated on 21/Apr/24 Answered by MathematicalUser2357 last updated on 26/Apr/24 $$\mathrm{The}\:\mathrm{calculation}\:\mathrm{was}\:\mathrm{aborted}\:\mathrm{because}\:\mathrm{it}\:\mathrm{took}\:\mathrm{too} \\ $$$$\mathrm{long}.\:\mathrm{Please}\:\mathrm{make}\:\mathrm{sure}\:\mathrm{that}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{incorrect},\:\mathrm{or} \\ $$$$\mathrm{try}\:\mathrm{tosimplify}\:\mathrm{your}\:\mathrm{query}.\:{Have}\:{you}\:{tried}\:{using}\:{the} \\ $$$${option}\:{to}\:{simplify}\:{expressions}??? \\ $$…