Question Number 8985 by j.masanja06@gmail.com last updated on 10/Nov/16 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{log}_{\mathrm{x}} \mathrm{3}=\mathrm{81} \\ $$ Answered by Rasheed Soomro last updated on 10/Nov/16 $$\mathrm{log}_{\mathrm{x}} \mathrm{3}=\mathrm{81}…
Question Number 140053 by ajfour last updated on 03/May/21 Commented by ajfour last updated on 03/May/21 $${Find}\:{radius}\:{of}\:{largest}\:{sphere}\: \\ $$$${within}\:{the}\:{cuboid}\:{and}\:{between} \\ $$$${the}\:{shown}\:{triangular}\:{planes}. \\ $$ Commented by…
Question Number 140055 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\: \\ $$$$\:\:{prove}\:\:{that}\:: \\ $$$$\:\:\:\:\:\:\:\:\Omega:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\mathrm{1}−{e}^{−{x}} }{\mathrm{1}+{e}^{\mathrm{2}{x}} }\:.\frac{{dx}}{{x}}\:={ln}\left(\frac{\Gamma^{\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{4}}\right)}{\mathrm{4}\sqrt{\mathrm{2}\pi}}\:\right) \\ $$$$\:\Theta:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\frac{\mathrm{2}{n}+\mathrm{1}}{\mathrm{2}{n}}\right)^{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} } \overset{??}…
Question Number 74514 by mathmax by abdo last updated on 25/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{\left({x}−{sin}\theta\right){d}\theta}{\left({x}^{\mathrm{2}} −\mathrm{2}{x}\:{sin}\theta\:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated…
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Question Number 140050 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\:{prove}\:\:{that}:: \\ $$$$\:\:\:\:\:\:\:\phi\::={lim}_{{n}\rightarrow\infty} \frac{{n}}{\:\sqrt{\mathrm{2}{k}}}\:.\sqrt{\mathrm{1}−{cos}^{{k}} \left(\frac{\mathrm{2}\pi}{{n}}\right)}\:=\pi \\ $$$$\:\:\:\:\:\:\:\:……………. \\ $$$$ \\ $$ Answered by Kamel last updated…
Question Number 74513 by mathmax by abdo last updated on 25/Nov/19 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{d}\theta}{{x}^{\mathrm{2}} −\mathrm{2}{xsin}\left(\mathrm{2}\theta\right)+\mathrm{1}}\:\:\left({x}\:{real}\right) \\ $$ Commented by mathmax by abdo last updated on…
Question Number 74508 by isra.pm07nov@gmail.com last updated on 25/Nov/19 $${li}=\overset{−} {{x}}−{t}_{{v}} ,\frac{\alpha}{\mathrm{2}}.\left(\frac{{s}}{\:\sqrt{{n}}}\right) \\ $$$${ls}=\overset{−} {{x}}+{t}_{{v}} ,\frac{\alpha}{\mathrm{2}}.\left(\frac{{s}}{\:\sqrt{{n}}}\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 8973 by tekviah munandi last updated on 09/Nov/16 $${given}\:{that}\:{x}\:{and}\:{y}\:{are}\:{samples}\: \\ $$$${of}\:{random}\:{variable}\:{drawn}\:{from}\:{a}\: \\ $$$${population}\:{that}\:{is}\:{normally}\:{distributed} \\ $$$${find}\:{the}\:{joint}\:{distribution}\:{of}\:{x}\:{and}\:{y}.\: \\ $$$${if}\:{x}\:{and}\:{y}\:{are}\:{independent}\:{find}\:{the} \\ $$$${marginal}\:{distributions}. \\ $$ Terms of…
Question Number 140046 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\:\:\:\:\:………..\:{nice}\:…….{calculus}\left({I}\right)\:…….. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Theta\::={lim}_{\:{x}\rightarrow\:\frac{\pi}{\mathrm{4}}} \:\left(\:{tan}\left({x}\right)\:\right)^{\:{tan}\left(\mathrm{2}{x}\right)} \:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…………………………. \\ $$$$ \\ $$ Commented by mnjuly1970 last updated…