Question Number 12316 by tawa last updated on 18/Apr/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{due}\:\mathrm{to}\:\mathrm{gravity}\:,\:\mathrm{g},\:\mathrm{on}\:\mathrm{the}\:\mathrm{moon}\:,\:\mathrm{if}\:\mathrm{g}\:\mathrm{is}\:\mathrm{10m}/\mathrm{s}^{\mathrm{2}} \:\mathrm{on} \\ $$$$\mathrm{the}\:\mathrm{earth}. \\ $$ Answered by chux last updated on 18/Apr/17 $$\mathrm{since}\:\mathrm{gravity}\:\mathrm{in}\:\mathrm{moon}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{6}}\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{earth}'\mathrm{s}…
Question Number 143384 by mathdanisur last updated on 13/Jun/21 $${proof}:\:\:{tg}^{\mathrm{2}} \left(\mathrm{36}°\right)\:\centerdot\:{tg}^{\mathrm{2}} \left(\mathrm{72}°\right)\:=\:\mathrm{5} \\ $$ Answered by Dwaipayan Shikari last updated on 13/Jun/21 $${tan}\mathrm{36}°=\frac{{sin}\left(\mathrm{36}°\right)}{{cos}\left(\mathrm{36}°\right)}=\frac{\mathrm{1}−{cos}\mathrm{72}°}{{sin}\mathrm{72}°}=\frac{\mathrm{1}−\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{4}}}{\:\frac{\mathrm{1}}{\mathrm{4}}\sqrt{\mathrm{10}−\mathrm{2}\sqrt{\mathrm{5}}}}=\frac{\mathrm{5}−\sqrt{\mathrm{5}}}{\:\sqrt{\mathrm{10}−\mathrm{2}\sqrt{\mathrm{5}}}} \\ $$$${tan}\mathrm{72}°=\frac{{cos}\mathrm{18}°}{{sin}\mathrm{18}°}=\frac{\sqrt{\mathrm{10}−\mathrm{2}\sqrt{\mathrm{5}}}}{\:\sqrt{\mathrm{5}}−\mathrm{1}}…
Question Number 77848 by jagoll last updated on 11/Jan/20 Commented by jagoll last updated on 11/Jan/20 $${dear}\:{sir}\:{W} \\ $$$${look}\:{picture}\: \\ $$$${correct}\:{a}\:=\:\sqrt{{b}×{c}}? \\ $$ Commented by…
Question Number 143381 by Mathspace last updated on 13/Jun/21 $${let}\:{f}\left({x}\right)={arctan}\left(\sqrt{\mathrm{2}}{x}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right){and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){if}\:{f}\left({x}\right)=\Sigma{a}_{{n}} {x}^{{n}} \:\:{find}\:{the}\: \\ $$$${sequence}\:{a}_{{n}} \\ $$ Answered by…
Question Number 143380 by Mathspace last updated on 13/Jun/21 $${developp}\:{at}\:{fourier}\:{serie} \\ $$$${f}\left({x}\right)=\frac{\mathrm{3}}{\mathrm{1}+\mathrm{2}{cosx}} \\ $$$${by}\:{use}\:{of}\:{two}\:{methods} \\ $$ Answered by mathmax by abdo last updated on 14/Jun/21…
Question Number 143383 by Mathspace last updated on 13/Jun/21 $${calculate}\:\int_{\mathrm{1}} ^{\mathrm{3}} \:\:\frac{\sqrt{{x}}}{\:\sqrt{{x}+\mathrm{1}}+\sqrt{\mathrm{2}{x}+\mathrm{3}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143382 by Mathspace last updated on 13/Jun/21 $${find}\:\int_{\mathrm{0}} ^{\infty} {xe}^{−{x}^{\mathrm{2}} } {log}\left(\mathrm{1}+\mathrm{2}{x}^{\mathrm{2}} \right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77845 by OTC-X1 last updated on 11/Jan/20 $$\boldsymbol{\mathrm{I}}\mathrm{n}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\boldsymbol{\mathrm{B}}=\mu_{\mathrm{0}} \boldsymbol{\mathrm{H}}×\mu_{\mathrm{0}} \boldsymbol{\mathrm{M}}\: \\ $$$$\mathrm{why}\:\mathrm{is}\:\mathrm{the}\:\mathrm{polarization}\:\mathrm{of}\:\mathrm{the}\:\mathrm{vacuum}\: \\ $$$$\mathrm{accounted}\:\mathrm{for}\:\mathrm{by}\: \\ $$$$\mathrm{constant}\:\mu_{\mathrm{0}} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{vacuum}\:\mathrm{is}\:\mathrm{absolutely}\:\mathrm{empty}? \\ $$$$ \\…
Question Number 77842 by jagoll last updated on 11/Jan/20 $${given}\: \\ $$$${f}\left({x}\right)=\:{x}^{\mathrm{2}} +\mathrm{sin}\left(\mathrm{2}{x}\right)\:+\:\int\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{4}}} {\:}}{f}\left({x}\right){dx} \\ $$$${f}\left(\frac{\pi}{\mathrm{2}}\right)=? \\ $$ Answered by mr W last updated…
Question Number 12306 by Gaurav3651 last updated on 18/Apr/17 $${Two}\:{similar}\:{boxes}\:{B}_{{i}} \:\left({i}=\mathrm{1},\mathrm{2}\right){contain} \\ $$$$\left({i}+\mathrm{1}\right){red}\:{and}\:\left(\mathrm{5}−{i}−\mathrm{1}\right)\:{black}\:{balls}. \\ $$$${One}\:{box}\:{is}\:{chosen}\:{at}\:{random}\:{and} \\ $$$${two}\:{balls}\:{are}\:{drawn}\:{randomly}. \\ $$$${what}\:{is}\:{the}\:{probability}\:{that}\:{both} \\ $$$${balls}\:{are}\:{of}\:{different}\:{colours}? \\ $$$$\left({a}\right)\:\:\mathrm{1}/\mathrm{2} \\ $$$$\left({b}\right)\:\:\mathrm{3}/\mathrm{10}…