Question Number 77024 by Sathvik last updated on 02/Jan/20 $$\mathrm{The}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\mathrm{p}\:\mathrm{for}\:\mathrm{which}\: \\ $$$$\mathrm{graph}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2p}^{\mathrm{2}} − \\ $$$$\mathrm{3ptan}\:\mathrm{x}+\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}+\mathrm{1}\:\mathrm{does}\:\mathrm{not}\:\mathrm{lie}\:\mathrm{below}\: \\ $$$$\mathrm{x}-\mathrm{axis}\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\in\left(\frac{−\Pi}{\mathrm{2}},\frac{\Pi}{\mathrm{2}}\right)\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\mathrm{0}\:\:\:\:\:\:\left(\mathrm{b}\right)\mathrm{4}\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\mathrm{3}\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\mathrm{8} \\ $$ Answered by MJS…
Question Number 142556 by iloveisrael last updated on 02/Jun/21 $$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{2}{yz}+\mathrm{2}−{z}^{\mathrm{2}} }\\{{z}=\mathrm{4022}−{x}−{y}}\end{cases} \\ $$$$\:{x},{y},{z}\in\mathbb{Z}^{+} \:.\:{then}\:{z}= \\ $$ Answered by iloveisrael last updated on 02/Jun/21…
Question Number 142558 by SOMEDAVONG last updated on 02/Jun/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{x}^{\mathrm{2}} =\mathrm{5}^{\mathrm{log}_{\mathrm{2}} \mathrm{x}} −\mathrm{3}^{\mathrm{log}_{\mathrm{2}} \mathrm{x}} \:\mathrm{on}\:\mathbb{R}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142553 by 777316 last updated on 02/Jun/21 $$ \\ $$$$\:\:\:\:{Evaluate}\::\: \\ $$$$\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{log}\left({x}\right){log}\left(\frac{{x}}{\mathrm{1}−{x}}\right)}{\:\sqrt{\frac{{x}}{\mathrm{1}−{x}}}}\:{dx} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 77014 by aliesam last updated on 02/Jan/20 Commented by mr W last updated on 02/Jan/20 $${look}\:{and}\:{think}: \\ $$$${x}={y}=\pm\mathrm{1} \\ $$ Commented by mr…
Question Number 142548 by ivoo last updated on 02/Jun/21 Commented by ivoo last updated on 02/Jun/21 How many integer solutions? Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77015 by aliesam last updated on 02/Jan/20 Commented by MJS last updated on 02/Jan/20 $$\mathrm{35}^{\mathrm{2}} =\mathrm{1225} \\ $$$$\mathrm{335}^{\mathrm{2}} =\mathrm{112225} \\ $$$$\mathrm{3335}^{\mathrm{2}} =\mathrm{11122225} \\…
Question Number 11477 by @ANTARES_VY last updated on 26/Mar/17 $$\frac{\boldsymbol{\mathrm{a}}^{\mathrm{8}} +\boldsymbol{\mathrm{a}}^{\mathrm{4}} +\mathrm{1}}{\boldsymbol{\mathrm{a}}^{\mathrm{6}} +\mathrm{1}}. \\ $$$$\boldsymbol{\mathrm{solves}}…. \\ $$ Answered by sm3l2996 last updated on 26/Mar/17 $$\mathrm{a}^{\mathrm{8}}…
Question Number 11476 by tawa last updated on 26/Mar/17 Answered by sandy_suhendra last updated on 27/Mar/17 $$\frac{\mathrm{1}}{\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{b}−\mathrm{c}\right)}\:+\:\frac{\mathrm{1}}{\left(\mathrm{b}−\mathrm{c}\right)\left(\mathrm{c}−\mathrm{a}\right)}\:+\:\frac{\mathrm{1}}{\left(\mathrm{c}−\mathrm{a}\right)\left(\mathrm{a}−\mathrm{b}\right)}\:\: \\ $$$$=\frac{\mathrm{c}−\mathrm{a}+\mathrm{a}−\mathrm{b}+\mathrm{b}−\mathrm{c}}{\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{b}−\mathrm{c}\right)\left(\mathrm{c}−\mathrm{a}\right)}\:=\:\mathrm{0} \\ $$$$ \\ $$$$\frac{\mathrm{1}}{\left(\mathrm{a}−\mathrm{b}\right)^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\left(\mathrm{b}−\mathrm{c}\right)^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\left(\mathrm{c}−\mathrm{a}\right)^{\mathrm{2}}…
Question Number 142545 by mnjuly1970 last updated on 02/Jun/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{nice}\:…..{integral} \\ $$$$\:\:\:\:\:\Omega:=\int_{−\infty} ^{\:\:+\infty} \frac{{dx}}{\left({x}^{\mathrm{2}} +\pi^{\mathrm{2}} \right){cosh}\left({x}\right)}\:=? \\ $$$$….. \\ $$ Answered by mindispower…