Question Number 174838 by mnjuly1970 last updated on 12/Aug/22 $$ \\ $$$$\:\:\:\:\:{calculate} \\ $$$$ \\ $$$$\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:{x}^{\:\mathrm{2}} }{\left(\:{sin}\left({x}\right)+{cos}\left({x}\right)\right)^{\:\mathrm{2}} }{dx}=? \\ $$$$ \\ $$ Answered…
Question Number 174766 by mnjuly1970 last updated on 10/Aug/22 $$ \\ $$$$\:\:\:\:{Q}:\:\:{by}\:{using}\:{fourier}\:{series}, \\ $$$$\:\:\:\:\:\:{prove}\:\:{that}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\Omega}=\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\:\boldsymbol{{n}}−\mathrm{1}} }{\left(\mathrm{2}\boldsymbol{{n}}−\mathrm{1}\:\right)^{\:\mathrm{3}} }\:=\:\frac{\boldsymbol{\pi}^{\:\mathrm{3}} }{\mathrm{32}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:−−−−−− \\ $$…
Question Number 43545 by peter frank last updated on 11/Sep/18 $${prove}\:{that}\:\int\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\:}}\:\frac{{x}^{\mathrm{2}} +\mathrm{6}}{\left({x}^{\mathrm{2}} +\mathrm{4}\right)\left({x}^{\mathrm{2}} +\mathrm{9}\right)}=\frac{\Pi}{\mathrm{20}} \\ $$ Answered by behi83417@gmail.com last updated on 12/Sep/18…
Question Number 43489 by peter frank last updated on 11/Sep/18 $${if}\:{y}={cos}\left({logx}\right)\:+\mathrm{3}{sin}\left({logx}\right)\:{prove}\:{that} \\ $$$${x}^{\mathrm{2}} \:\frac{{d}^{\mathrm{2}} {x}}{{dx}^{\mathrm{2}} }+{x}\frac{{dy}}{{dx}}+{y}=\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 11/Sep/18…
Question Number 43438 by peter frank last updated on 10/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 10/Sep/18 $${cosh}^{−} \left(\mathrm{3}{x}\right)={ln}\left(\mathrm{3}{x}+\sqrt{\mathrm{9}{x}^{\mathrm{2}} −\mathrm{1}}\:\right) \\ $$$${y}=\left\{{ln}\left(\mathrm{3}{x}+\sqrt{\mathrm{9}{x}^{\mathrm{2}} −\mathrm{1}}\:\right)\right\}^{\mathrm{2}} \\ $$$$\frac{{dy}}{{dx}}=\mathrm{2}\left\{{ln}\left(\mathrm{3}{x}+\sqrt{\mathrm{9}{x}^{\mathrm{2}}…
Question Number 174486 by mnjuly1970 last updated on 02/Aug/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 174442 by oustmuchiya@gmail.com last updated on 01/Aug/22 Answered by floor(10²Eta[1]) last updated on 01/Aug/22 $$\left.\mathrm{a}\right)\: \\ $$$$\mathrm{y}'=\frac{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{4}} }{\mathrm{2}\sqrt{\mathrm{x}−\mathrm{1}}}+\mathrm{4}\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} \sqrt{\mathrm{x}−\mathrm{1}} \\ $$$$\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} \left[\frac{\mathrm{x}+\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{x}−\mathrm{1}}}+\mathrm{4}\sqrt{\mathrm{x}−\mathrm{1}}\right] \\…
Question Number 174425 by mnjuly1970 last updated on 31/Jul/22 $$ \\ $$$$\:\:\:{Calculate}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\boldsymbol{\phi}\:=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:{x}^{\:\mathrm{3}} }{{sin}^{\:\mathrm{2}} \left(\:{x}\:\right)}{dx}=\:? \\ $$$$\:\:\:\:\:\:\:−−− \\ $$ Terms…
Question Number 108727 by Don08q last updated on 18/Aug/20 Answered by Dwaipayan Shikari last updated on 18/Aug/20 $${x}\left({t}\right)={t}^{\mathrm{3}} −\mathrm{15}{t}^{\mathrm{2}} +\mathrm{72}{t}+\mathrm{3} \\ $$$${v}_{{avg}} =\frac{{x}\left(\mathrm{8}\right)−{x}\left(\mathrm{0}\right)}{\mathrm{8}}=\frac{\mathrm{512}−\mathrm{15}.\mathrm{64}+\mathrm{72}.\mathrm{8}+\mathrm{3}−\mathrm{3}}{\mathrm{8}}=\mathrm{16}\frac{{m}}{{s}} \\ $$$$…
Question Number 174182 by mnjuly1970 last updated on 26/Jul/22 Terms of Service Privacy Policy Contact: info@tinkutara.com