Question Number 143317 by mohammad17 last updated on 12/Jun/21 Commented by mohammad17 last updated on 12/Jun/21 $$????? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 143296 by lapache last updated on 12/Jun/21 $${Montrer}\:{que} \\ $$$$\Gamma\left({n}\right)=\left({n}−\mathrm{1}\right)! \\ $$$$ \\ $$ Answered by Olaf_Thorendsen last updated on 12/Jun/21 $$\mathrm{By}\:\mathrm{definition}\:\Gamma\left({z}\right)\:=\:\int_{\mathrm{0}} ^{\infty}…
Question Number 143268 by Study last updated on 12/Jun/21 $${li}\underset{{x}\rightarrow\infty} {{m}}\left(\frac{{x}+\mathrm{3}}{{x}−\mathrm{4}}\right)^{−\mathrm{2}} =? \\ $$ Answered by SumanKarmakar2007 last updated on 12/Jun/21 $$\mathrm{1} \\ $$$$ \\…
Question Number 12185 by prakash jain last updated on 15/Apr/17 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{velocity} \\ $$$${v}={K}\left({y}\hat {{i}}+{x}\hat {{j}}\right) \\ $$$${prove}\:{that} \\ $$$${y}^{\mathrm{2}} ={x}^{\mathrm{2}} +{constant} \\ $$ Answered by…
Question Number 12173 by Mr Chheang Chantria last updated on 15/Apr/17 $$\boldsymbol{{Prove}}\:\boldsymbol{{that}}\:\forall\boldsymbol{{x}}\in\left[\mathrm{1},\mathrm{2}\right] \\ $$$$\Rightarrow\:\mathrm{1}−\boldsymbol{{x}}^{\mathrm{2}} \:\leqslant\:\boldsymbol{{x}} \\ $$ Answered by ajfour last updated on 18/Apr/17 $${x}\geqslant\mathrm{1}…
Question Number 143222 by ZiYangLee last updated on 11/Jun/21 $$\mathrm{If}\:{z}=\mathrm{cos}\:\theta+{i}\:\mathrm{sin}\:\theta,\:\mathrm{by}\:\mathrm{expand} \\ $$$$\left({z}+\frac{\mathrm{1}}{{z}}\right)^{\mathrm{4}} \left({z}−\frac{\mathrm{1}}{{z}}\right)^{\mathrm{4}} \mathrm{or}\:\mathrm{other}\:\mathrm{method}, \\ $$$$\mathrm{prove}\:\mathrm{128}\:\mathrm{sin}^{\mathrm{4}} \theta\mathrm{cos}^{\mathrm{4}} \theta=\mathrm{cos}\:\mathrm{8}\theta−\mathrm{4cos}\:\mathrm{4}\theta+\mathrm{3}. \\ $$ Answered by Olaf_Thorendsen last updated…
Question Number 143208 by Gbenga last updated on 11/Jun/21 $$\mathrm{3}^{{x}} +\mathrm{4}{x}−\mathrm{3}={x}^{\mathrm{4}} \\ $$$${find}\:{x} \\ $$ Answered by MJS_new last updated on 11/Jun/21 $$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\ $$$$\mathrm{3}^{{x}}…
Question Number 77666 by td2020 last updated on 08/Jan/20 $${how}\:\Pi=\mathrm{3}.\mathrm{14}\:{and}\:{what}\:{it}\:{mean}? \\ $$ Commented by MJS last updated on 08/Jan/20 $$\mathrm{seriously}? \\ $$$$\mathrm{have}\:\mathrm{you}\:\mathrm{never}\:\mathrm{heard}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}? \\ $$$$…\mathrm{do}\:\mathrm{you}\:\mathrm{know}\:\mathrm{how}\:\mathrm{the}\:\mathrm{diagonal}\:\mathrm{of}\:\mathrm{a}\:\mathrm{square} \\…
Question Number 143193 by mohammad17 last updated on 11/Jun/21 $${prove}\:{that}\:{the}\:{function}\:{f}\left({x}\right)={x}^{\mathrm{2}} \:\:,{x}\varepsilon\left[\mathrm{1},\mathrm{4}\right] \\ $$$${is}\:{Riemannian}\:{integral}\:? \\ $$ Answered by mathmax by abdo last updated on 11/Jun/21 $$\int_{\mathrm{1}}…
Question Number 143194 by ZiYangLee last updated on 11/Jun/21 $$\mathrm{Suppose}\:{z}^{\mathrm{50}} +{z}^{\mathrm{25}} +{m}=\mathrm{0},\:\mathrm{where}\:{z}=\frac{\mathrm{1}+{i}}{\:\sqrt{\mathrm{2}}} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{m}. \\ $$ Answered by Olaf_Thorendsen last updated on 11/Jun/21 $${z}\:=\:\frac{\mathrm{1}+{i}}{\:\sqrt{\mathrm{2}}}\:=\:{e}^{{i}\frac{\pi}{\mathrm{4}}} \\…