Question Number 164547 by mnjuly1970 last updated on 21/Jan/22 $$ \\ $$$$\:\:\:\:\:\:\:\:{prove} \\ $$$$\: \\ $$$$\:\:\Omega=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:\sqrt{{x}}}{\left(\:\mathrm{1}+{x}\:+{x}^{\:\mathrm{2}} \right)^{\:\mathrm{3}} \:}\:{dx}\:\overset{?} {=}\:\frac{\pi\sqrt{\mathrm{3}}}{\mathrm{36}}\: \\ $$$$\:\:\:\:\:\:−−{m}.{n}−−\: \\ $$$$…
Question Number 99003 by bramlex last updated on 18/Jun/20 $${Given}\:\mathrm{5}{x}−\mathrm{3}{y}=\mathrm{6}\:.\:{find}\:{min}\:{value} \\ $$$${of}\:\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\left({y}+\mathrm{1}\right)^{\mathrm{2}} \:? \\ $$ Answered by bobhans last updated on 18/Jun/20 $$\mathrm{let}\:\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{y}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 33407 by NECx last updated on 15/Apr/18 $${if}\:{y}={x}!\:{find}\:{dy}/{dx} \\ $$ Answered by MJS last updated on 15/Apr/18 $$\mathrm{for}\:{x}\in\mathbb{N}\:\mathrm{no}\:\mathrm{derivate}\:\mathrm{exists} \\ $$$$\mathrm{if}\:\mathrm{we}\:\mathrm{use} \\ $$$${y}={x}!=\Gamma\left({x}\right)=\underset{\mathrm{0}} {\overset{\infty}…
Question Number 33406 by NECx last updated on 15/Apr/18 $${Find}\:{the}\:{half}\:{derivative}\:{of}\:{y}=\mathrm{ln}\:{x} \\ $$ Commented by MJS last updated on 15/Apr/18 $$\mathrm{what}'\mathrm{s}\:\mathrm{a}\:\mathrm{half}\:\mathrm{derivate}? \\ $$ Commented by NECx…
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Question Number 164462 by ajfour last updated on 17/Jan/22 $${Find}\:{x},\:{such}\:{that}\:{f}\left({x}\right)\:{is}\:{minimum}. \\ $$$${f}\left({x}\right)=\left\{\frac{\sqrt{{c}^{\mathrm{2}} −{x}^{\mathrm{2}} }}{{c}−{x}}−\left({c}−{x}\right)\right\}^{\mathrm{2}} \\ $$ Commented by ajfour last updated on 17/Jan/22 $${did}. \\…
Question Number 98895 by bramlex last updated on 17/Jun/20 $${Is}\:\frac{{dy}}{{dx}}\:{if}\:{y}^{\mathrm{3}} +{x}^{\mathrm{3}} −\mathrm{2}{x}=\mathrm{1}\:?\: \\ $$ Answered by bramlex last updated on 17/Jun/20 Answered by mathmax by…
Question Number 164366 by Zaynal last updated on 16/Jan/22 $$\frac{\boldsymbol{{d}}}{\boldsymbol{{dx}}}\:\left(\boldsymbol{{e}}^{\boldsymbol{{tan}}\left(\boldsymbol{{x}}\right)} \right) \\ $$$$\left\{\boldsymbol{{Z}}.\boldsymbol{\mathrm{A}}\right\} \\ $$ Commented by cortano1 last updated on 16/Jan/22 $$\:{y}\:=\:{e}^{\mathrm{tan}\:{x}} \\ $$$$\:\mathrm{ln}\:{y}\:=\:\mathrm{tan}\:{x}…
Question Number 164339 by mnjuly1970 last updated on 16/Jan/22 $$ \\ $$$$\:\:\:\:{In}\:\:{A}\overset{\Delta} {{B}C}\:\:\::\:\:\:{cos}^{\:\mathrm{2}} \left({A}\:\right)+\:{cos}^{\:\mathrm{2}} \left({B}\:\right)+\:{cos}^{\:\mathrm{2}} \left(\:{C}\:\right)=\mathrm{1}\:\:. \\ $$$$\:\:\:\:\:\:\:\:{Prove}\:{that}\:\:{A}\overset{\Delta} {{B}C}\:\:\:{is}\:\:\:{right}\:{angled}. \\ $$$$\:\:\:\:\:\:−−−−−−−− \\ $$$$\:\:\:\:\:\: \\ $$…
Question Number 33208 by abdo imad last updated on 12/Apr/18 $${solve}\:{the}\:{d}.{e}.\:{x}^{''} \left({t}\right)\:+\mathrm{3}{x}^{'} \left({t}\right)\:+\mathrm{2}\:{x}\left({t}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+{e}^{{t}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com