Question Number 188902 by sciencestudentW last updated on 08/Mar/23 $${what}\:{is}\:{the}\:{deference}\:{between}\:{math} \\ $$$${and}\:{mathematics}? \\ $$ Commented by mr W last updated on 09/Mar/23 $${the}\:{same}\:{difference}\:{as}\:{between} \\ $$$${dad}\:{and}\:{father}.…
Question Number 188897 by sciencestudentW last updated on 08/Mar/23 $${find}\:{the}\:{cubic}\:{root}\:{of}\:\mathrm{23456}\:{by} \\ $$$${general}\:{method}! \\ $$ Commented by Frix last updated on 08/Mar/23 $$\mathrm{What}'\mathrm{s}\:\mathrm{the}\:“\mathrm{general}\:\mathrm{method}''? \\ $$ Terms…
Question Number 188895 by sciencestudentW last updated on 08/Mar/23 $${sometimes}\:{when}\:{we}\:{disconnected}\:{the} \\ $$$${current}\:{in}\:{a}\:{circuit}\:{that}\:{the}\:{bulb}\:{is}\:{little} \\ $$$${bright}\:{why}?\:{what}\:{is}\:{the}\:{reason}? \\ $$ Answered by aleks041103 last updated on 09/Mar/23 $${Is}\:{the}\:{bulb}\:{incondecent}\:{or}\:{LED}? \\…
Question Number 123356 by ZiYangLee last updated on 25/Nov/20 $$\mathrm{If}\:{f}\left({x}\right)=\frac{{ax}+\mathrm{1}}{\mathrm{4}{x}−\mathrm{3}}\:,\:{x}\in\mathbb{R}\:,\:{x}\neq\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$\:\:\mathrm{and}\:{ff}\left({x}\right)={x},\:\mathrm{find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:{a} \\ $$ Answered by liberty last updated on 25/Nov/20 $$\rightarrow\begin{cases}{{f}\left({x}\right)=\frac{{ax}+\mathrm{1}}{\mathrm{4}{x}−\mathrm{3}}}\\{{f}\:^{−\mathrm{1}} \left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{1}}{\mathrm{4}{x}−{a}}}\end{cases} \\ $$$$\Rightarrow\:{f}\left({f}\left({x}\right)\right)={x}\:;\:{f}^{−\mathrm{1}}…
Question Number 123344 by aurpeyz last updated on 25/Nov/20 $$ \\ $$$$\left(\mathrm{2}{xy}^{\mathrm{4}} {e}^{{y}} +\mathrm{2}{xy}^{\mathrm{3}} +{y}\right){dx}+\left({x}^{\mathrm{2}} {y}^{\mathrm{4}} {e}^{\mathrm{4}} −{x}^{\mathrm{2}} {y}^{\mathrm{2}} −\mathrm{3}{x}\right){dy} \\ $$$${Describe}\:{an}\:{exact}\:{equation}\:{and}\:{solve} \\ $$$${the}\:{diffrential}\:{equation}. \\…
Question Number 123337 by aurpeyz last updated on 25/Nov/20 $${find}\:{the}\:{maximum}\:{and}\:{minimum} \\ $$$${values}\:{of}\:\mathrm{2}{cos}\mathrm{2}{x}−{cos}\mathrm{4}{x}\:{in}\:{the}\:{range} \\ $$$$\mathrm{0}<{x}<\pi.\:{sketch}\:{the}\:{curve} \\ $$ Commented by bemath last updated on 25/Nov/20 $${max}\:=\:\mathrm{1}.\mathrm{5}\:;\:{min}\:=\:−\mathrm{3}\: \\…
Question Number 123314 by aurpeyz last updated on 24/Nov/20 $$\int\frac{\mathrm{8}}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{5}}{dx} \\ $$ Answered by mathmax by abdo last updated on 24/Nov/20 $$\mathrm{I}\:=\mathrm{8}\:\int\:\:\frac{\mathrm{dx}}{\mathrm{2}\left(\mathrm{x}^{\mathrm{2}} \:+\frac{\mathrm{3}}{\mathrm{2}}\mathrm{x}+\frac{\mathrm{5}}{\mathrm{2}}\right)}=\mathrm{4}\int\:\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{2}.\frac{\mathrm{3}}{\mathrm{4}}\mathrm{x}+\frac{\mathrm{9}}{\mathrm{16}}+\frac{\mathrm{5}}{\mathrm{2}}−\frac{\mathrm{9}}{\mathrm{16}}}…
Question Number 123313 by aurpeyz last updated on 24/Nov/20 $$\int\frac{\mathrm{2}{x}+\mathrm{3}}{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{7}}{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 24/Nov/20 $$\int\frac{\mathrm{2}{x}+\mathrm{3}}{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{7}}{dx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{3}}\int\frac{\mathrm{6}{x}+\mathrm{4}}{\mathrm{3}{x}^{\mathrm{2}}…
Question Number 123315 by aurpeyz last updated on 24/Nov/20 $${express}\:\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{5}\:{as}\:{a}\:{sum}\:{or}\: \\ $$$${diffrence}\:{of}\:{two}\:{squares} \\ $$ Commented by mr W last updated on 24/Nov/20 $${answer}\:{in}\:{Q}\mathrm{123143}\:{not}\:{good}\:{for}\:{you}? \\…
Question Number 123294 by roniee last updated on 24/Nov/20 $${L}\left({y}+\int{ydt}\right)={L}\left(\mathrm{1}−{e}^{−{t}} \right) \\ $$ Answered by Olaf last updated on 24/Nov/20 $$\mathcal{L}\left({y}+\int{ydt}\right)\:=\:\mathcal{L}\left(\mathrm{1}−{e}^{−{t}} \right) \\ $$$$\mathcal{L}\left({p}\right)+\frac{\mathcal{L}\left({p}\right)}{{p}}\:=\:\frac{\mathrm{1}}{{p}}−\frac{\mathrm{1}}{{p}+\mathrm{1}} \\…