Question Number 107034 by mathdave last updated on 08/Aug/20 Commented by kaivan.ahmadi last updated on 08/Aug/20 $$=\frac{\sqrt{\mathrm{2}}\mid{sin}\mathrm{6}\pi\mid}{\:\sqrt{\mathrm{1}−{cos}\pi}}=\frac{\mathrm{0}}{\:\sqrt{\mathrm{1}−\left(−\mathrm{1}\right)}}=\frac{\mathrm{0}}{\:\sqrt{\mathrm{2}}}=\mathrm{0} \\ $$ Commented by kaivan.ahmadi last updated on…
Question Number 41488 by behi83417@gmail.com last updated on 08/Aug/18 Answered by tanmay.chaudhury50@gmail.com last updated on 08/Aug/18 $$\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{\left(\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\right)}=\mathrm{1}\:\:\:\:\:\:\:\frac{{x}^{\mathrm{2}} }{\left(\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\right)}+\frac{{y}^{\mathrm{2}}…
Question Number 172556 by SANOGO last updated on 28/Jun/22 $$\int_{} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){dx} \\ $$ Answered by floor(10²Eta[1]) last updated on 28/Jun/22 $$\mathrm{u}=\mathrm{ln}\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)\Rightarrow\mathrm{du}=\frac{\mathrm{2x}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} } \\…
Question Number 172545 by SANOGO last updated on 28/Jun/22 $${calcul} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}{x}^{{n}} \\ $$ Commented by mr W last updated on 28/Jun/22…
Question Number 41479 by jasno91 last updated on 08/Aug/18 Answered by tanmay.chaudhury50@gmail.com last updated on 08/Aug/18 $$\mathrm{73}\:{days}=\frac{\mathrm{73}}{\mathrm{365}}=\frac{\mathrm{1}}{\mathrm{5}}{years} \\ $$$${p}=\mathrm{1175} \\ $$$${r}=\mathrm{10\%} \\ $$$${t}=\mathrm{1}+\frac{\mathrm{1}}{\mathrm{5}}=\frac{\mathrm{6}}{\mathrm{5}}{years} \\ $$$${i}=\frac{{ptr}}{\mathrm{100}}=\frac{\mathrm{1175}×\mathrm{6}×\mathrm{10}}{\mathrm{5}×\mathrm{100}}=\frac{\mathrm{235}×\mathrm{6}}{\mathrm{10}}=\frac{\mathrm{47}×\mathrm{3}}{}=\mathrm{141}…
Question Number 106983 by Khalmohmmad last updated on 08/Aug/20 Answered by bemath last updated on 08/Aug/20 Answered by Dwaipayan Shikari last updated on 08/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}}…
Question Number 41390 by mondodotto@gmail.com last updated on 06/Aug/18 $$\boldsymbol{\mathrm{solve}}\:\:\mathrm{2}^{\boldsymbol{{x}}−\mathrm{2}} =\mathrm{8}\boldsymbol{{x}} \\ $$ Answered by MrW3 last updated on 06/Aug/18 $$\frac{\mathrm{2}^{{x}} }{\mathrm{2}^{\mathrm{2}} }=\mathrm{8}{x} \\ $$$$\mathrm{2}^{{x}}…
Question Number 41389 by mondodotto@gmail.com last updated on 06/Aug/18 $$\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{tan}}^{\mathrm{2}} \boldsymbol{\mathrm{A}}+\boldsymbol{\mathrm{tan}}^{\mathrm{2}} \boldsymbol{\mathrm{B}}+\mathrm{3}=\mathrm{0} \\ $$$$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\mathrm{B}}+\mathrm{2}\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\mathrm{A}}=\mathrm{0} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 06/Aug/18…
Question Number 172455 by pablo1234523 last updated on 27/Jun/22 $$\mathrm{using}\:\mathrm{maclaurin}'\mathrm{s}\:\mathrm{series}\:\mathrm{exapand} \\ $$$$\frac{{x}}{\mathrm{2}}\left(\frac{{e}^{{x}} +\mathrm{1}}{{e}^{{x}} −\mathrm{1}}\right)\:\mathrm{upto}\:{x}^{\mathrm{4}} \:\mathrm{term} \\ $$ Answered by mr W last updated on 29/Jun/22…
Question Number 172443 by SANOGO last updated on 27/Jun/22 Answered by Mathspace last updated on 27/Jun/22 $$\left.\mathrm{2}\right)\:{la}\:{fonctionx}\rightarrow\:\Upsilon\left({x},{t}\right)\:{est}\:{derivable}\:{surR} \\ $$$${et}\:\frac{\partial}{\partial{x}}\Psi\left({x},{t}\right)=\left({e}^{−{at}} −{e}^{−{bt}} \right){cos}\left({xt}\right) \\ $$$${t}\rightarrow\frac{\left({e}^{−{at}} −{e}^{−{bt}} \right){cos}\left({xt}\right)}{{t}}\:{est}\:{integrable}…