Question Number 1439 by Rasheed Ahmad last updated on 04/Aug/15 $${Are}\:{there}\:{two}\:{complex}\:{numbers} \\ $$$${which}\:{are}\:{cube}\:{of}\:{one}\:{another}? \\ $$$${If}\:{yes}\:{what}\:{are}\:{they}? \\ $$ Answered by 123456 last updated on 04/Aug/15 $$\begin{cases}{{x}={y}^{\mathrm{3}}…
Question Number 1437 by 112358 last updated on 03/Aug/15 $${Let}\:{f}\left({x}\right)\:{be}\:{a}\:{real}\:{valuedfunction} \\ $$$$\forall{x}\in\mathbb{R}.\:{Determine}\:{the}\:{following} \\ $$$${sums}\:: \\ $$$$\left(\mathrm{1}\right)\:{S}_{\mathrm{1}} \left({n}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{tan}^{−\mathrm{1}} \left({rf}\left({x}\right)\right) \\ $$$$\left(\mathrm{2}\right)\:{S}_{\mathrm{2}} \left({n}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{sin}^{−\mathrm{1}}…
Question Number 66971 by Cmr 237 last updated on 21/Aug/19 $$\int\frac{\mathrm{dx}}{\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\:}}=? \\ $$$$\boldsymbol{\mathrm{p}\mathfrak{l}}\mathrm{ease}\:\mathrm{help} \\ $$ Commented by MJS last updated on 21/Aug/19 $$\int\frac{{dx}}{{x}\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}=…
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Question Number 66969 by mr W last updated on 21/Aug/19 Commented by mr W last updated on 21/Aug/19 $${Question}\:{from}\:{B}.{E}.{H}.{I}.\:{sir}\:{reposted}. \\ $$ Answered by mr W…
Question Number 132497 by mathocean1 last updated on 14/Feb/21 $${a},\:{b}\:\in\:\mathbb{R}. \\ $$$${Given}\:{a}^{\mathrm{3}} +{b}^{\mathrm{3}} −{ab}+\mathrm{11}=\mathrm{0} \\ $$$${Show}\:{that}\:−\frac{\mathrm{7}}{\mathrm{3}}<{a}+{b}<−\mathrm{2} \\ $$ Answered by MJS_new last updated on 14/Feb/21…
Question Number 132496 by mathmax by abdo last updated on 14/Feb/21 $$\mathrm{calculateA}_{\mathrm{n}} =\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }\mathrm{cos}\left(\mathrm{n}\right)\:\mathrm{andB}_{\mathrm{n}} =\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }\mathrm{cos}\left(\frac{\mathrm{n}\pi}{\mathrm{3}}\right) \\ $$ Answered…
Question Number 1426 by tabrez8590@gmail last updated on 31/Jul/15 $${why}\:{we}\:{can}\:{not}\:{compare}\:{any}\:{tow}\:{complex}\:{number}\:\: \\ $$$${how}\:{a}\:{cmplex}\:{number}\:{is}\:{uses}\:{a}\:{complex}\:{number}\:{practically}\:{please}\:{giveanexample} \\ $$ Commented by Rasheed Ahmad last updated on 03/Aug/15 $${Things}\:{with}\:{respect}\:{to}\:{single}\: \\ $$$${characteristic}\:{are}\:{easy}\:{to}\:{compare}.…
Question Number 66959 by rajesh4661kumar@gmail.com last updated on 21/Aug/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132494 by mnjuly1970 last updated on 14/Feb/21 Commented by MJS_new last updated on 14/Feb/21 $$\mathrm{sharing}\:\mathrm{these}\:\mathrm{transformations} \\ $$$$\mathrm{we}\:\mathrm{have}\:\mathrm{to}\:\mathrm{check}\:\mathrm{all}\:\mathrm{solutions}!!! \\ $$$$ \\ $$$${a}^{\mathrm{1}/\mathrm{2}} +{b}^{\mathrm{1}/\mathrm{2}} ={c}^{\mathrm{1}/\mathrm{2}}…