Question Number 122789 by Khalmohmmad last updated on 19/Nov/20 Answered by MJS_new last updated on 19/Nov/20 $${A}^{−\mathrm{1}} {A}=\begin{pmatrix}{\mathrm{1}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{1}}\end{pmatrix} \\ $$ Terms of Service Privacy Policy…
Question Number 122783 by mathocean1 last updated on 19/Nov/20 $${solve}\:: \\ $$$${x}^{\mathrm{3}} +\mathrm{3}{x}^{\mathrm{2}} −\mathrm{1}=\mathrm{0} \\ $$ Commented by Dwaipayan Shikari last updated on 19/Nov/20 $${x}={y}−\mathrm{1}…
Question Number 122773 by solstis last updated on 19/Nov/20 Answered by MJS_new last updated on 19/Nov/20 $$\frac{\mathrm{451}}{\mathrm{225}}−\frac{\mathrm{2}}{\mathrm{5}}=\frac{\mathrm{451}}{\mathrm{5}×\mathrm{45}}−\frac{\mathrm{2}}{\mathrm{5}}=\frac{\mathrm{451}}{\mathrm{5}×\mathrm{45}}−\frac{\mathrm{2}×\mathrm{45}}{\mathrm{5}×\mathrm{45}}= \\ $$$$=\frac{\mathrm{451}−\mathrm{2}×\mathrm{45}}{\mathrm{5}×\mathrm{45}}=\frac{\mathrm{361}}{\mathrm{225}} \\ $$$$\mathrm{no}\:\mathrm{other}\:\mathrm{form}\:\mathrm{to}\:\mathrm{resolve}\:\mathrm{it}.\:\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{add} \\ $$$$\mathrm{or}\:\mathrm{subtract}\:\mathrm{fractions}\:\mathrm{with}\:\mathrm{the}\:\mathrm{same}\:\mathrm{denominator} \\ $$…
Question Number 122760 by mulindwahakiim last updated on 19/Nov/20 $$\mathrm{3}{x}+{y}=\mathrm{6} \\ $$$${x}−\mathrm{5}{y}=\mathrm{12} \\ $$ Commented by MJS_new last updated on 19/Nov/20 $$\mathrm{seriously}?\:\mathrm{what}\:\mathrm{is}\:\mathrm{it}\:\mathrm{you}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}? \\ $$ Answered…
Question Number 188284 by Humble last updated on 27/Feb/23 $${a}\:{friend}\:{shared}\:{this}\:{challenging}\: \\ $$$${problem}\:{to}\:{me}. \\ $$$$\mathrm{2}^{\boldsymbol{{y}}} ×\boldsymbol{{y}}^{\mathrm{2}} +\left(\mathrm{2}\boldsymbol{{y}}\right)^{\mathrm{2}\boldsymbol{{y}}} \:=\mathrm{272} \\ $$$$\boldsymbol{{no}}\:\boldsymbol{{inspection}}\:\boldsymbol{{approach}}! \\ $$$$\boldsymbol{{thank}}\:\boldsymbol{{you}}\:\boldsymbol{{all}}. \\ $$ Commented by…
Question Number 122739 by mohammad17 last updated on 19/Nov/20 $$\left.\mathrm{1}\right)\int_{−\pi} ^{\:\pi} \frac{{dx}}{{sin}^{\mathrm{2}} {x}+\mathrm{1}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right)\:\int_{−\infty} ^{\:\infty} \frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{4}} +\mathrm{5}{x}^{\mathrm{2}} +\mathrm{4}}{dx} \\ $$ Answered…
Question Number 188260 by Humble last updated on 28/Feb/23 $$\boldsymbol{{ABCD}}\:{is}\:{a}\:{rectangle}\:{such}\:{that} \\ $$$$\:\mid\boldsymbol{{AB}}\mid>\mid\boldsymbol{{BC}}\mid\:{and}\:{O}\:{is}\:{the}\:{mid}−{point} \\ $$$$\:{of}\:\boldsymbol{{DC}},\:{if}\:\mid\boldsymbol{{OB}}\mid=\mathrm{0}.\mathrm{1}{m}\:{and}\:\angle\boldsymbol{{BOC}}\:=\boldsymbol{\theta}, \\ $$$$\:{find}\:{an}\:{expression}\:{for}\:{the}\:{perimeter}\:{of} \\ $$$$\:{the}\:{rectangle}\:{in}\:{terms}\:{of}\:\boldsymbol{\theta}.\:{Find}\:{also},\: \\ $$$${the}\:{values}\:{of}\:\boldsymbol{{R}}\:{and}\:\boldsymbol{\beta}\:{for}\:{which}\:{the}\: \\ $$$${perimeter}\:{is}\:\boldsymbol{{Rcos}}\left(\boldsymbol{\theta}−\boldsymbol{\beta}\right).\:{Deduce},\:{the}\: \\ $$$${greatest}\:{possible}\:{value}\:{oc}\:{the}\:{perimeter}. \\…
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Question Number 188258 by LEKOUMA last updated on 27/Feb/23 $${Solve}\: \\ $$$${y}={x}\left({y}'\right)^{\mathrm{2}} −\frac{\mathrm{1}}{{y}'} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 122715 by ZiYangLee last updated on 19/Nov/20 Answered by liberty last updated on 19/Nov/20 $$\left({a}\right)\:{put}\:{Discriminant}\:<\mathrm{0}\:{and}\:\alpha^{\mathrm{2}} \:>\mathrm{0} \\ $$$$\Rightarrow\:\mathrm{4}\left(\mathrm{2}\alpha−\mathrm{5}\right)^{\mathrm{2}} −\mathrm{4}\alpha^{\mathrm{2}} .\mathrm{8}\:<\:\mathrm{0} \\ $$$$\Rightarrow\:\left(\mathrm{2}\alpha−\mathrm{5}\right)^{\mathrm{2}} −\mathrm{8}\alpha^{\mathrm{2}}…