Question Number 106167 by mohammad17 last updated on 03/Aug/20 Answered by bemath last updated on 03/Aug/20 $$\rightarrow\begin{cases}{\mathrm{t}^{\mathrm{2}} =\frac{\mathrm{x}}{\mathrm{a}}}\\{\mathrm{t}=\frac{\mathrm{y}}{\mathrm{2a}}}\end{cases} \\ $$$$\Leftrightarrow\left(\frac{\mathrm{y}}{\mathrm{2a}}\right)^{\mathrm{2}} =\:\frac{\mathrm{x}}{\mathrm{a}}\Rightarrow\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{4a}^{\mathrm{2}} }=\frac{\mathrm{x}}{\mathrm{a}} \\ $$$$\mathrm{y}^{\mathrm{2}}…
Question Number 106161 by Anindita last updated on 03/Aug/20 $$\boldsymbol{\mathrm{If}}\: \\ $$$$\boldsymbol{\mathrm{X}}=\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}−\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}} \\ $$$$\boldsymbol{\mathrm{Y}}=\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{z}}×\boldsymbol{\mathrm{b}} \\ $$$$\boldsymbol{\mathrm{Z}}=\boldsymbol{\mathrm{a}}^{\mathrm{2}} ×\boldsymbol{\mathrm{b}}^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{x}}=\boldsymbol{\mathrm{y}}=−\mathrm{1} \\ $$$$\boldsymbol{\mathrm{a}}=\boldsymbol{\mathrm{b}}=\mathrm{4} \\ $$$$\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{answer}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\frac{\boldsymbol{\mathrm{X}}+\boldsymbol{\mathrm{Y}}+\boldsymbol{\mathrm{Z}}}{\boldsymbol{\mathrm{Y}}−\boldsymbol{\mathrm{Z}}}\:?\:…
Question Number 171694 by daus last updated on 20/Jun/22 Answered by nurtani last updated on 20/Jun/22 $${x}^{{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}} \:=\:\mathrm{1} \\ $$$$\Leftrightarrow\:{x}^{{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}} \:=\:{x}^{\mathrm{0}} \\ $$$$\Leftrightarrow\:{x}^{\mathrm{2}}…
Question Number 171684 by SANOGO last updated on 19/Jun/22 Answered by mindispower last updated on 19/Jun/22 $${f}\left(−{x}\right)={f}\left({x}\right)\Leftrightarrow{etudier}\:{f}\:{sur}\:{R}_{+} \\ $$$$\forall{x}\in{R}_{+} \\ $$$$\mid{F}\left({x}\right)\mid\leqslant\int_{\mathrm{1}} ^{\infty} \frac{{ln}\left({t}\right)}{{x}^{\mathrm{2}} +{t}^{\mathrm{2}} }{dt}\leqslant\int_{\mathrm{1}}…
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Question Number 171664 by LEKOUMA last updated on 19/Jun/22 $${Solve} \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }\mathrm{tan}^{−\mathrm{1}} {xdx} \\ $$ Commented by infinityaction last updated on 19/Jun/22 $${put}\:…
Question Number 40591 by mondodotto@gmail.com last updated on 24/Jul/18 Commented by mondodotto@gmail.com last updated on 24/Jul/18 $$\boldsymbol{\mathrm{roman}}\:\left(\boldsymbol{\mathrm{i}}\right)\boldsymbol{\mathrm{please}} \\ $$ Answered by MJS last updated on…
Question Number 40587 by mondodotto@gmail.com last updated on 24/Jul/18 $$\boldsymbol{\mathrm{find}}\:\int\boldsymbol{\mathrm{e}}^{\boldsymbol{{x}}} \boldsymbol{\mathrm{ln}{x}}\:\boldsymbol{\mathrm{d}{x}} \\ $$ Commented by prof Abdo imad last updated on 25/Jul/18 $$\int\:{e}^{{x}} {ln}\left({x}\right){dx}\:=\:\int\left(\sum_{{n}=\mathrm{0}} ^{\infty}…
Question Number 106118 by DeepakMahato last updated on 02/Aug/20 Commented by DeepakMahato last updated on 02/Aug/20 $${Please}\:{Solve}… \\ $$ Answered by nimnim last updated on…
Question Number 106123 by DeepakMahato last updated on 03/Aug/20 $${In}\:{a}\:\bigtriangleup{ABC}\:{with}\:{sides}\:\boldsymbol{{a}}=\mathrm{6}{cm},\boldsymbol{{b}}=?\:{and}\:\boldsymbol{{c}}=? \\ $$$${area}\:{is}\:\mathrm{270}{cm}^{\mathrm{2}} .{And}\:{if}\: \\ $$$${midline}\:{of}\:{the}\:\bigtriangleup\:{is}\:\mathrm{7}\:{cm} \\ $$$${find}\:{the}\:{value}\:{of}\:{sides}\:\:\boldsymbol{{b}}\:\boldsymbol{{and}}\:\boldsymbol{{c}}. \\ $$$$ \\ $$$$\boldsymbol{{Please}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{with}}\:\boldsymbol{{a}}\:\boldsymbol{{little}} \\ $$$$\boldsymbol{{explanation}}. \\ $$…