Question Number 139818 by Study last updated on 01/May/21 $${x}^{\mathrm{4}} −\mathrm{22}{x}^{\mathrm{2}} +{x}−\mathrm{114}=\mathrm{0} \\ $$$${x}=? \\ $$ Answered by MJS_new last updated on 01/May/21 $$\mathrm{exact}\:\mathrm{solution}\:\mathrm{too}\:\mathrm{complicated},\:\mathrm{approximation} \\…
Question Number 8740 by 123456 last updated on 25/Oct/16 $${x}_{\mathrm{1},\mathrm{1}} =\mathrm{1} \\ $$$${x}_{{n}+\mathrm{1},{m}} ={x}_{{n},{m}} +{m} \\ $$$${x}_{{n},{m}+\mathrm{1}} ={nx}_{{n},{m}} −\mathrm{1} \\ $$$${x}_{\mathrm{2},\mathrm{2}} =? \\ $$ Commented…
Question Number 74267 by smartsmith459@gmail.com last updated on 21/Nov/19 $$\mathrm{1}\:\:{what}\:{is}\:{the}\:{order}\:{and}\:{the}\:{degree}\:{of}\:{the}\:{differential}\:{equation} \\ $$$$\frac{{d}^{\mathrm{3}} {Z}}{{dt}^{\mathrm{3}} }\:+\left(\frac{{dZ}}{{dt}}\right)^{\mathrm{4}} \:−\:{y}^{\mathrm{5}} \:={e}^{−\mathrm{2}{x}} . \\ $$$$\left.\mathrm{2}\right)\:\:\mathrm{2}{x}\frac{{d}^{\mathrm{5}} {y}}{{dx}^{\mathrm{5}} }\:+\:\mathrm{5}{x}^{\mathrm{2}} \:\left(\frac{{dy}}{{dx}}\:\right)^{\mathrm{4}} \:−\:{xy}^{\mathrm{2}} \:=\:\mathrm{0}. \\…
Question Number 74265 by Maclaurin Stickker last updated on 21/Nov/19 $${Determine}\:{the}\:{values}\:{of}\:{m}\in\mathbb{R}\:{for}\: \\ $$$${which}\:{the}\:{function}\:{f}\left({x}\right)=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}{x}^{\mathrm{2}} −{mx}+{m}}} \\ $$$${is}\:{the}\:{set}\:{of}\:{real}\:{numbers}. \\ $$ Answered by MJS last updated on 21/Nov/19…
Question Number 8721 by swapnil last updated on 24/Oct/16 $$\mathrm{If}\:\mathrm{z}\in\mathrm{C}\:\mathrm{satisfies} \\ $$$$\mid\mathrm{z}^{\mathrm{3}} +\mathrm{z}^{−\mathrm{3}} \mid\leqslant\mathrm{2} \\ $$$${t}\mathrm{hen}\:\mathrm{maximum}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\mid\mathrm{z}+\mathrm{z}^{−\mathrm{1}} \mid\mathrm{is}? \\ $$ Commented by 123456 last updated on…
Question Number 139799 by Study last updated on 01/May/21 $${x}+\sqrt{{y}}=\mathrm{11} \\ $$$$\sqrt{{x}}+{y}=\mathrm{7} \\ $$$${x}=?\:\:\:\:\:\:\:{y}=? \\ $$ Commented by MJS_new last updated on 01/May/21 $${x}\geqslant\mathrm{0}\wedge{y}\geqslant\mathrm{0} \\…
Question Number 74244 by Maclaurin Stickker last updated on 20/Nov/19 $${Find}\:{x} \\ $$$${x}^{{log}_{\mathrm{4}\:} \sqrt{{x}}} ={x}^{{log}_{\mathrm{4}} {x}} −\mathrm{2} \\ $$ Answered by MJS last updated on…
Question Number 139776 by mohammad17 last updated on 01/May/21 $$\int\:\frac{{dx}}{\mathrm{2}{cos}\left({x}\right)+\mathrm{3}{sin}\left({x}\right)} \\ $$ Answered by phanphuoc last updated on 01/May/21 $${dx}/{rcos}\left({x}+\alpha\right) \\ $$ Answered by qaz…
Question Number 139768 by Study last updated on 01/May/21 $${x}+\sqrt{{y}}=\mathrm{11} \\ $$$$\sqrt{{x}}+\sqrt{{y}}=\mathrm{7} \\ $$$${x}=? \\ $$$${y}=? \\ $$ Commented by Study last updated on 01/May/21…
Question Number 139766 by mohammad17 last updated on 01/May/21 $${lim}_{{x}\rightarrow\mathrm{0}} \left(\frac{\sqrt{\mathrm{1}−{cos}\left(\mathrm{2}{x}\right)}}{\mathrm{1}−{cos}\left({x}\right)}\right) \\ $$ Answered by bramlexs22 last updated on 01/May/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}−\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} \mathrm{x}\right)}}{\mathrm{1}−\mathrm{cos}\:\mathrm{x}} \\ $$$$=\:\underset{{x}\rightarrow\mathrm{0}}…