Question Number 132951 by Eric002 last updated on 17/Feb/21 Commented by Eric002 last updated on 17/Feb/21 $${find}\:{Vab} \\ $$ Answered by JDamian last updated on…
Question Number 132950 by mohammad17 last updated on 17/Feb/21 $${write}\:\frac{\left(\mathrm{1}−{i}\right)^{\mathrm{23}} }{\left(\sqrt{\mathrm{3}}−{i}\right)^{\mathrm{13}} }\:{in}\left(\:{re}^{{i}\theta} \right) \\ $$ Answered by metamorfose last updated on 17/Feb/21 $${z}=\frac{\left(\mathrm{1}−{i}\right)^{\mathrm{23}} }{\:\left(\sqrt{\mathrm{3}}−{i}\right)^{\mathrm{13}} }=\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{2}}}\:{e}^{{i}\frac{\mathrm{5}\pi}{\mathrm{12}}}…
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Question Number 1875 by Filup last updated on 20/Oct/15 $$\mathrm{Given}\:\mathrm{that}: \\ $$$${Z}=\left\{\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:…\right\}\:\mathrm{all}\:\mathrm{integers}\:\geqslant\mathrm{0} \\ $$$${R}=\left\{\mathrm{0},\:\mathrm{0}.\mathrm{01},\:…,\:\mathrm{1},\:\mathrm{1}.\mathrm{01},\:…\right\}\:\mathrm{all}\:\mathrm{reals}\:\geqslant\mathrm{0} \\ $$$$\:\mathrm{Prove}\:\mathrm{that}\:\mid{R}\mid>\mid{Z}\mid \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1873 by 123456 last updated on 19/Oct/15 $${f}_{{n}+\mathrm{1}} \left({x}\right)={f}_{{n}} \left({x}\right)\left({x}−{n}\right)\left({x}+{n}\right) \\ $$$${f}_{\mathrm{0}} \left({x}\right)=\mathrm{1} \\ $$$${f}_{\mathrm{5}} \left({x}\right)=? \\ $$$${f}_{\mathrm{4}} \left(\mathrm{2}{x}\right)=\mathrm{0},{x}=? \\ $$ Answered by…
Question Number 1870 by alib last updated on 18/Oct/15 $${Solve}\: \\ $$$$ \\ $$$$\mathrm{2}{sin}\:\mathrm{2}{x}−\:\mathrm{3}\left({sin}\:{x}\:+\:{cos}\:{x}\right)\:+\:\mathrm{2}\:=\mathrm{0} \\ $$ Answered by 112358 last updated on 19/Oct/15 $$\mathrm{2}{sin}\mathrm{2}{x}−\mathrm{3}\left({sinx}+{cosx}\right)+\mathrm{2}=\mathrm{0} \\…
Question Number 132937 by mohammad17 last updated on 17/Feb/21 $${solve}\:{the}\:{equation}\:{in}\:{complex}\:{number} \\ $$$${z}^{\mathrm{3}} ={z}_{{o}} \\ $$ Answered by mr W last updated on 17/Feb/21 $${z}_{\mathrm{0}} ={re}^{\theta{i}}…
Question Number 1865 by Denbang last updated on 18/Oct/15 $${proof}\:{that}\:\sqrt{\mathrm{2}}\:{is}\:{an}\:{irrational}\:{number} \\ $$$$ \\ $$ Answered by 123456 last updated on 18/Oct/15 $$\mathrm{suppuse}\:\mathrm{by}\:\mathrm{absurf}\:\mathrm{that}\:\sqrt{\mathrm{2}}\in\mathbb{Q},\:\mathrm{then} \\ $$$$\exists\left({p},{q}\right)\in\mathbb{Z},{q}\neq\mathrm{0}\:\mathrm{such}\:\mathrm{that}\:\sqrt{\mathrm{2}}=\frac{{p}}{{q}},\left({p},{q}\right)=\mathrm{1} \\…
Question Number 67398 by mhmd last updated on 26/Aug/19 $${solve}\:{the}\:{defrintion}\:{eguation}\:\left({xp}^{\mathrm{2}} −{p}+\mathrm{2}{x}\right)=\mathrm{0} \\ $$$${when}\:{p}={dy}/{dx} \\ $$ Commented by mathmax by abdo last updated on 26/Aug/19 $${xy}^{''}…
Question Number 132932 by bobhans last updated on 17/Feb/21 $${Find}\:{f}\left({x}\right)\:{such}\:{that}\:{f}\left(\mathrm{2}{x}\right)={f}\left({x}\right) \\ $$ Answered by Olaf last updated on 17/Feb/21 $${f}\left(\mathrm{2}{x}\right)\:=\:{f}\left({x}\right) \\ $$$$\Rightarrow\:{f}\left({x}\right)\:=\:{f}\left(\frac{{x}}{\mathrm{2}}\right)\:=\:{f}\left(\frac{{x}}{\mathrm{4}}\right)\:=\:…{f}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right)… \\ $$$${f}\left({x}\right)\:=\:\underset{{n}\rightarrow\infty}…