Menu Close

Category: None

Prove-it-a-b-a-a-2-b-2-a-a-2-b-2-

Question Number 140503 by ERA last updated on 08/May/21 $$\boldsymbol{\mathrm{P}}\mathrm{rove}\:\mathrm{it} \\ $$$$\sqrt{\boldsymbol{{a}}+\sqrt{\boldsymbol{{b}}}}=\sqrt{\frac{\boldsymbol{{a}}+\sqrt{\boldsymbol{{a}}^{\mathrm{2}} +\boldsymbol{{b}}}}{\mathrm{2}}+}\sqrt{\frac{\boldsymbol{{a}}−\sqrt{\boldsymbol{{a}}^{\mathrm{2}} −\boldsymbol{{b}}}}{\mathrm{2}}} \\ $$ Commented by MJS_new last updated on 08/May/21 $$\mathrm{it}'\mathrm{s}\:\mathrm{wrong} \\…

Question-9404

Question Number 9404 by alfat123 last updated on 05/Dec/16 Answered by geovane10math last updated on 06/Dec/16 $$\mathrm{I}\:\mathrm{can}'\mathrm{t}\:\mathrm{read}… \\ $$$${f}'\left({x}\right)\:=\:\mathrm{2}{x}\:+\:\mathrm{2} \\ $$$$\int{f}'\left({x}\right)\:{dx}\:=\:\int\:\mathrm{2}{x}\:+\:\mathrm{2}\:{dx}\:=\:\int\mathrm{2}{x}\:{dx}\:+\:\int\mathrm{2}\:{dx} \\ $$$$=\:{x}^{\mathrm{2}} \:+\:\mathrm{2}{x}\:+\:{C} \\…

pi-180-pi-3-141-pi-Solve-find-n-N-k-1-sin-2-k-10-n-pi-k-k-1-sin-2-k-10-n-e-k-0-

Question Number 9407 by geovane10math last updated on 06/Dec/16 $$\pi\:=\:\mathrm{180}°\:=\:\Pi \\ $$$$\pi\:=\:\mathrm{3},\mathrm{141}…\:=\:\pi \\ $$$$\mathrm{Solve}\:\left(\mathrm{find}\:{n}\:\in\:\mathbb{N}\right): \\ $$$$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{sin}\left(\mathrm{2}\Pi{k}\centerdot\mathrm{10}^{{n}} \pi\right)}{{k}}\:+\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{sin}\left(\mathrm{2}\Pi{k}\centerdot\mathrm{10}^{{n}} {e}\right)}{{k}}\:=\:\mathrm{0} \\ $$$$ \\…

Question-9403

Question Number 9403 by alfat123 last updated on 05/Dec/16 Answered by ridwan balatif last updated on 05/Dec/16 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{5x}\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{6}} \mathrm{dx}=\mathrm{u}.\mathrm{v}−\int\mathrm{vdu} \\ $$$$\mathrm{misal}:\:\mathrm{u}=\mathrm{5x}\rightarrow\mathrm{du}=\mathrm{5dx} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{dv}=\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{6}}…

Question-140462

Question Number 140462 by ZiYangLee last updated on 08/May/21 Commented by mr W last updated on 08/May/21 $${T}_{{n}} ={ar}^{{n}−\mathrm{1}} \\ $$$$\frac{{T}_{{n}+\mathrm{4}} −{T}_{{n}+\mathrm{2}} }{{T}_{{n}+\mathrm{1}} }=\frac{{ar}^{{n}+\mathrm{3}} −{ar}^{{n}+\mathrm{1}}…