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Question Number 145534 by wassim last updated on 05/Jul/21 Answered by Rasheed.Sindhi last updated on 06/Jul/21 $${C}-\mathrm{1}:{Finite}\:{sets}\:{containing}\: \\ $$$$\boldsymbol{{single}}\:\boldsymbol{{member}}: \\ $$$${Let}\:{x}\in\mathrm{M} \\ $$$$\therefore\:{x}^{\mathrm{2}} −\mathrm{3}\mid{x}\mid+\mathrm{4}={x} \\…

Question Number 145487 by Mrsof last updated on 05/Jul/21 Commented by Mrsof last updated on 05/Jul/21 $${help}\:{me}\:{sir} \\ $$ Answered by Ar Brandon last updated…

Question Number 145443 by 7770 last updated on 04/Jul/21 $${The}\:{roots}\:{of}\:{the}\:{equation} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} +{px}+{q}=\mathrm{0}\:\:{are}\:\mathrm{2}\alpha+\beta\:\:{and} \\ $$$$\alpha+\mathrm{2}\beta.\:{Find}\:{the}\:{values}\:{of}\:{p}\:{and}\:{q} \\ $$ Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\mathrm{S}\:=\:{x}_{\mathrm{1}}…

Question Number 145318 by ZiYangLee last updated on 04/Jul/21 $$\mathrm{Let}\:{f}:\left[\mathrm{0},\mathrm{1}\right]\rightarrow\mathbb{R}\:\mathrm{be}\:\mathrm{a}\:\mathrm{differentiable}\:\mathrm{function} \\ $$$$\mathrm{such}\:\mathrm{that}\:{f}\left({f}\left({x}\right)\right)={x}\:\mathrm{for}\:\mathrm{all}\:{x}\in\left[\mathrm{0},\mathrm{1}\right]\:\mathrm{and} \\ $$$${f}\left(\mathrm{0}\right)=\mathrm{1}. \\ $$$$\mathrm{If}\:{n}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{integer},\:\mathrm{evaluate}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{integral}:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left({x}−{f}\left({x}\right)\right)^{\mathrm{2}{n}} \:{dx} \\ $$…

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