Question Number 8389 by tawakalitu last updated on 09/Oct/16 Answered by ridwan balatif last updated on 10/Oct/16 $$\mathrm{velocity}\:\mathrm{of}\:\mathrm{alarm}\:\mathrm{clock}\:\mathrm{before}\:\mathrm{strikes}\:\mathrm{the}\:\mathrm{ground}\:\mathrm{is} \\ $$$$\mathrm{v}=\sqrt{\mathrm{2gh}} \\ $$$$\:\:=\sqrt{\mathrm{2}×\mathrm{10}×\mathrm{15}} \\ $$$$\:\:=\sqrt{\mathrm{300}}\mathrm{m}/\mathrm{s} \\…
Question Number 139457 by mnjuly1970 last updated on 27/Apr/21 $$\:_{} \:\:\: \\ $$$$\:\:\:\:\:{prove}\:{that}\::: \\ $$$$\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{3}{n}\right)!}\:=\frac{{e}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{3}\sqrt{{e}}}\:{cos}\left(\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\right) \\ $$$$ \\ $$ Answered by Dwaipayan Shikari…
Question Number 8387 by arinto27 last updated on 09/Oct/16 Answered by ridwan balatif last updated on 10/Oct/16 $$\mathrm{1}.\mathrm{f}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{1} \\ $$$$\:\:\:\:\:\:\mathrm{y}\:\:\:=\mathrm{5x}+\mathrm{1} \\ $$$$\:\:\:\:\:\:\mathrm{x}\:\:\:=\frac{\mathrm{y}−\mathrm{1}}{\mathrm{5}} \\ $$$$\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)=\frac{\mathrm{x}−\mathrm{1}}{\mathrm{5}}\Leftrightarrow\mathrm{f}^{−\mathrm{1}}…
Question Number 139456 by SOMEDAVONG last updated on 27/Apr/21 $$\mathrm{E}=\mathrm{log}_{\mathrm{a}} \sqrt{\frac{\mathrm{c}}{\mathrm{b}^{\mathrm{log}_{\mathrm{ab}} \mathrm{c}} }}+\mathrm{log}_{\mathrm{b}} \sqrt{\frac{\mathrm{c}}{\mathrm{a}^{\mathrm{log}_{\mathrm{ab}} \mathrm{c}} }} \\ $$ Answered by bemath last updated on 27/Apr/21…
Question Number 73918 by arkanmath7@gmail.com last updated on 16/Nov/19 $${find}\:{the}\:{Re}\left({w}\right)\:{and}\:{Im}\left({w}\right) \\ $$$$ \\ $$$${where}\:{w}\:=\:\left({sin}\:{a}\:+\:{icos}\:{a}\right)^{\left({cos}\:{a}\:+\:{isin}\:{a}\right)} \\ $$ Commented by abdomathmax last updated on 16/Nov/19 $${W}=\left({e}^{{i}\left(\frac{\pi}{\mathrm{2}}−{a}\right)} \right)^{{cosa}\:+{isina}}…
Question Number 73919 by necxxx last updated on 16/Nov/19 Commented by necxxx last updated on 16/Nov/19 $${Good}\:{day}\:{sirs}.\:{This}\:{question}\:{was}\:{formed} \\ $$$${and}\:{solved}\:{by}\:{some}\:{of}\:{us}\:{here}.\:{I}\:{really}\: \\ $$$${do}\:{not}\:{remember}\:{the}\:{question}\:{or} \\ $$$${approaches}\:{applied}.\:{Please}\:{help}. \\ $$$${Thanks}\:{in}\:{advance}.…
Question Number 139455 by mnjuly1970 last updated on 27/Apr/21 $$\:\:\:\:\:\:\:#\:{calculus}# \\ $$$$\:\:{evaluate}: \\ $$$$\:\:\boldsymbol{\phi}:=\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{k}−\mathrm{1}} \:\Gamma\:\left(\frac{{k}}{\mathrm{2}}\right)}{{k}\:\Gamma\left(\frac{{k}+\mathrm{1}}{\mathrm{2}}\right)}\:=? \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 139454 by aliibrahim1 last updated on 27/Apr/21 Answered by Dwaipayan Shikari last updated on 27/Apr/21 $$\int{x}^{\mathrm{2}} \frac{{tan}^{−\mathrm{1}} {x}}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$=\int{tan}^{−\mathrm{1}} \left({x}\right)−\int\frac{{tan}^{−\mathrm{1}} \left({x}\right)}{{x}^{\mathrm{2}}…
Question Number 73913 by arkanmath7@gmail.com last updated on 16/Nov/19 $${I}\:{need}\:{the}\:{sol}.\:{plz} \\ $$$${find}\:{the}\:{imaginary}\:{and}\:{real}\:{parts}\:{of} \\ $$$${log}\:{sin}\left({a}+{ib}\right)? \\ $$ Answered by Tanmay chaudhury last updated on 16/Nov/19 $${Log}\left({sinacosib}+{cosasinib}\right)…
Question Number 139445 by aliibrahim1 last updated on 27/Apr/21 Answered by mr W last updated on 27/Apr/21 $${u}={xy} \\ $$$$\frac{{du}}{{dx}}={x}\frac{{dy}}{{dx}}+{y} \\ $$$$\frac{{du}}{{dx}}+\mathrm{3}{u}^{\mathrm{2}} =\mathrm{0} \\ $$$$−\frac{{du}}{{u}^{\mathrm{2}}…