Question Number 205216 by dimentri last updated on 13/Mar/24 $$\:\:\:\:\:\int\:\frac{\mathrm{arccos}\:^{\mathrm{3}} \mathrm{x}}{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{3}} }}\:\mathrm{dx}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205217 by hardmath last updated on 13/Mar/24 $$\mathrm{4}\:\mathrm{sin}\:\frac{\mathrm{x}}{\mathrm{2}}\:\centerdot\:\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}\:=\:\mathrm{1} \\ $$$$\Rightarrow\:\mathrm{x}\:=\:? \\ $$ Answered by A5T last updated on 13/Mar/24 $$\mathrm{2}{sinx}=\mathrm{2}{sin}\left(\frac{{x}}{\mathrm{2}}+\frac{{x}}{\mathrm{2}}\right)=\mathrm{4}{sin}\left(\frac{{x}}{\mathrm{2}}\right){cos}\left(\frac{{x}}{\mathrm{2}}\right)=\mathrm{1} \\ $$$$\Rightarrow{sinx}=\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow{x}=\mathrm{30}°+\mathrm{360}{n};\mathrm{150}°+\mathrm{360}{n} \\…
Question Number 205218 by hardmath last updated on 13/Mar/24 $$\mid\:\mathrm{sinx}\mid\:+\:\mid\:\mathrm{cosx}\:\mid\:=\:\mathrm{1} \\ $$$$\Rightarrow\:\mathrm{x}\:=\:? \\ $$ Answered by Sutrisno last updated on 13/Mar/24 $$ \\ $$$$\left(\mid\:\mathrm{sinx}\mid\:+\:\mid\:\mathrm{cosx}\:\mid\:\right)^{\mathrm{2}} =\:\mathrm{1}^{\mathrm{2}}…
Question Number 205219 by hardmath last updated on 13/Mar/24 $$\begin{cases}{\mathrm{sinx}\:+\:\mathrm{cosx}\:=\:\mathrm{1}}\\{\mathrm{sinx}\:−\:\mathrm{cosy}\:=\:\mathrm{1}}\end{cases} \\ $$$$\Rightarrow\:\mathrm{x}\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 13/Mar/24 $$\begin{cases}{\mathrm{sinx}\:+\:\mathrm{cosx}\:=\:\mathrm{1}…{i}}\\{\mathrm{sinx}\:−\:\mathrm{cosy}\:=\:\mathrm{1}…{ii}}\end{cases}\:\:\:;\mathrm{x}\:=\:? \\ $$$$\mathrm{cos}\:{x}+\mathrm{cos}\:{y}=\mathrm{0} \\…
Question Number 205204 by BaliramKumar last updated on 12/Mar/24 Answered by A5T last updated on 12/Mar/24 $${Container}\:{A}:\:{Spirit}\left(\mathrm{35}{l}\right),{Water}\left(\mathrm{45}{l}\right) \\ $$$${Container}\:{B}:\:{Spirit}\left(\frac{\mathrm{7}}{\mathrm{16}}×\mathrm{20}=\mathrm{8}.\mathrm{75}\right),{Water}\left(\mathrm{11}.\mathrm{25}\right) \\ $$$$\Rightarrow{Container}\:{A}':\:{Spirit}\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{33}.\mathrm{75}{l}\right) \\ $$$${Container}\:{A}'':\:{Spirit}\:\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{53}.\mathrm{75}{l}\right) \\ $$$${S}:{W}=\mathrm{21}:\mathrm{43}…
Question Number 205172 by shunmisaki007 last updated on 12/Mar/24 $${x}\left({t}\right)={c}+{tx}'\left({t}\right)\:\mid\:{c}\:\mathrm{is}\:\mathrm{constant}. \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Find}\:{x}\left({t}\right). \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Find}\:{x}\left({t}\right)\:\mathrm{when}\:{x}\left(\mathrm{0}\right)={x}_{\mathrm{0}} . \\ $$ Commented by lepuissantcedricjunior last updated on 12/Mar/24 $$\boldsymbol{{x}}\left(\boldsymbol{{t}}\right)=\boldsymbol{{c}}+\boldsymbol{{tx}}'\left(\boldsymbol{{t}}\right)\:\boldsymbol{{c}}\in\mathbb{R}…
Question Number 205173 by mr W last updated on 12/Mar/24 $${find} \\ $$$${S}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left({a}^{\mathrm{2}} +{n}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$ Commented by lepuissantcedricjunior last updated…
Question Number 205174 by universe last updated on 12/Mar/24 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left\{{x}^{\mathrm{1}/{x}} \right\}\:=\:?\:{where}\:\left\{.\right\}\:{is}\:{a}\:{fractional}\:{part}\:{of}\:{x} \\ $$ Answered by lepuissantcedricjunior last updated on 12/Mar/24 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left(\boldsymbol{{x}}\right)^{\frac{\mathrm{1}}{\boldsymbol{{x}}}} =\infty^{\mathrm{0}} =\boldsymbol{\mathrm{F}{I}}…
Question Number 205175 by BaliramKumar last updated on 12/Mar/24 Answered by Rasheed.Sindhi last updated on 12/Mar/24 $$\mathrm{413283P759387} \\ $$$$\bullet{Divide}\:{the}\:{number}\:{in}\:{groups}\:{of}\:\mathrm{3} \\ $$$${from}\:{right}\:{side} \\ $$$$\mathrm{4},\mathrm{132},\mathrm{83P},\mathrm{759},\mathrm{387} \\ $$$$\bullet{Apply}\:{subtraction}\:{and}\:{addition}…
Question Number 205200 by mathlove last updated on 12/Mar/24 $$\int_{\mathrm{1}} ^{\infty} \:\frac{{x}}{{x}^{\mathrm{3}} +{lnx}}\:{dx}=? \\ $$ Answered by mathzup last updated on 12/Mar/24 $${changement}\:{lnx}={t}\:{give} \\ $$$${I}=\int_{\mathrm{0}}…