Question Number 58660 by Hassen_Timol last updated on 27/Apr/19 Commented by Hassen_Timol last updated on 27/Apr/19 $$\mathrm{Is}\:\mathrm{this}\:\mathrm{integral}\:\mathrm{calculation},\:\mathrm{correct}\:\mathrm{in}\:\mathrm{both} \\ $$$$\mathrm{the}\:\mathrm{way}\:\mathrm{it}\:\mathrm{is}\:\mathrm{written}\:\mathrm{and}\:\mathrm{the}\:\mathrm{result}\:\mathrm{obtained}? \\ $$ Commented by mr W…
Question Number 124191 by Algoritm last updated on 01/Dec/20 Answered by MJS_new last updated on 01/Dec/20 $$\mathrm{well}\:\mathrm{just}\:\mathrm{solve}\:\mathrm{it}! \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{6}}\left(\mathrm{1}−\sqrt[{\mathrm{3}}]{\mathrm{359}−\mathrm{12}\sqrt{\mathrm{78}}}−\sqrt[{\mathrm{3}}]{\mathrm{359}+\mathrm{12}\sqrt{\mathrm{78}}}\right. \\ $$$${x}\approx−\mathrm{2}.\mathrm{17868} \\ $$ Answered by…
Question Number 124192 by Algoritm last updated on 01/Dec/20 Commented by MJS_new last updated on 01/Dec/20 $$\mathrm{2} \\ $$ Commented by Algoritm last updated on…
Question Number 124177 by mathdave last updated on 01/Dec/20 $${prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{ln}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{sin2}{x}\right){dx} \\ $$ Commented by MJS_new last updated on 01/Dec/20 $$\mathrm{prove}\:\mathrm{what}? \\…
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Question Number 189701 by DAVONG last updated on 20/Mar/23 Commented by Rasheed.Sindhi last updated on 23/Mar/23 $$\left.\mathrm{16}\right)\:\mathrm{59}\:{rectangles}\left({including}\:{squares}\right)\: \\ $$$$\:{having}\:{sum}\:{multiple}\:{of}\:\mathrm{5}. \\ $$$${I}\:{will}\:{write}\:{detailed}\:{solution}\:{if}\:{you} \\ $$$${give}\:{some}\:{response}. \\ $$…
Question Number 189700 by DAVONG last updated on 20/Mar/23 Commented by Rasheed.Sindhi last updated on 21/Mar/23 $${a}=\mathrm{21} \\ $$ Commented by mehdee42 last updated on…
Question Number 58618 by azizullah last updated on 26/Apr/19 Answered by mr W last updated on 26/Apr/19 $${roots}:\:\alpha,\beta \\ $$$$\alpha+\beta=\mathrm{7} \\ $$$$\alpha\beta=−\mathrm{9} \\ $$$$\left(\alpha−\beta\right)^{\mathrm{2}} =\left(\alpha+\beta\right)^{\mathrm{2}}…
Question Number 124151 by mohammad17 last updated on 01/Dec/20 Answered by MJS_new last updated on 01/Dec/20 $$\left[{ax}+{b}\right]=\left[{ax}\right]+{b} \\ $$$$\left(\mathrm{ii}\right)\:\left[{x}+\mathrm{3}+\left[\mathrm{1}+{x}+\left[{x}−\mathrm{2}\right]\right]\right]= \\ $$$$\:\:\:\:\:\:\:\:=\left[{x}+\mathrm{3}+\left[\mathrm{1}+{x}+\left[{x}\right]−\mathrm{2}\right]\right]= \\ $$$$\:\:\:\:\:\:\:\:=\left[{x}+\mathrm{3}+\left[{x}+\left[{x}\right]−\mathrm{1}\right]\right]= \\ $$$$\:\:\:\:\:\:\:\:=\left[{x}+\mathrm{3}+\left[{x}\right]+\left[{x}\right]−\mathrm{1}\right]=…
Question Number 58612 by naka3546 last updated on 26/Apr/19 $${P}\left({x}\right)\:\:{is}\:\:{a}\:\:{monic}−{fifth}\:\:{degree}\:\:{polynomial}\:\:{that}\:{satisfy} \\ $$$$\:\:\:\:{P}\left(\mathrm{1}\right)\:\:=\:\:\mathrm{1} \\ $$$$\:\:\:\:{P}\left(\mathrm{2}\right)\:\:=\:\:\mathrm{4} \\ $$$$\:\:\:\:{P}\left(\mathrm{3}\right)\:\:=\:\:\mathrm{9} \\ $$$$\:\:\:\:{P}\left(\mathrm{4}\right)\:\:=\:\:\mathrm{16} \\ $$$$\:\:\:\:{P}\left(\mathrm{5}\right)\:\:=\:\:\mathrm{25} \\ $$$$\:\:\:\:{P}\left(\mathrm{6}\right)\:\:=\:\:? \\ $$$$ \\…