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Author: Tinku Tara

if-K-x-R-2x-1-2x-1-0-and-J-x-R-x-2x-1-1-find-J-K-

Question Number 74455 by Mr. K last updated on 24/Nov/19 $${if}\:{K}=\left({x}\in\mathbb{R}\:\mathrm{2}{x}−\mathrm{1}+\mid\mathrm{2}{x}−\mathrm{1}\mid=\mathrm{0}\:\right){and} \\ $$$${J}=\left({x}\in\mathbb{R}\:−{x}\left(\mathrm{2}{x}+\mathrm{1}\right)\leqslant−\mathrm{1}\right)\:{find}\:{J}−{K}. \\ $$ Answered by MJS last updated on 24/Nov/19 $${K}=\left\{{x}\in\mathbb{R}\mid{x}\leqslant\frac{\mathrm{1}}{\mathrm{2}}\right\} \\ $$$${J}=\left\{{x}\in\mathbb{R}\mid{x}\leqslant−\mathrm{1}\vee{x}\geqslant\frac{\mathrm{1}}{\mathrm{2}}\right\}…

Proposed-by-Rasheed-Soomro-What-will-be-possible-minimum-area-of-a-quadrilateral-whose-all-the-sides-touch-a-circle-of-radius-r-

Question Number 8917 by Rasheed Soomro last updated on 05/Nov/16 $$\mathrm{Proposed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}. \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{possible}\:\mathrm{minimum}\:\mathrm{area} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{quadrilateral},\:\mathrm{whose}\:\mathrm{all}\:\mathrm{the}\:\mathrm{sides} \\ $$$$\mathrm{touch}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:\:\mathrm{r}\:? \\ $$ Terms of Service Privacy Policy Contact:…

x-dx-

Question Number 8914 by tawakalitu last updated on 04/Nov/16 $$\int\:\mid\mathrm{x}\mid\:\mathrm{dx} \\ $$ Commented by 123456 last updated on 05/Nov/16 $${I}=\int\mid{x}\mid{dx} \\ $$$${x}>\mathrm{0} \\ $$$${I}=\int{xdx}=\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+{C}…

Question-74446

Question Number 74446 by rajesh4661kumar@gmail.com last updated on 24/Nov/19 Answered by Kunal12588 last updated on 24/Nov/19 $${I}=\int{e}^{{tan}^{−\mathrm{1}} {x}} \left(\frac{\mathrm{1}+{x}+{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx} \\ $$$${let}\:{t}={tan}^{−\mathrm{1}} {x} \\…

find-the-value-of-x-3-x-9x-

Question Number 8905 by j.masanja06@gmail.com last updated on 04/Nov/16 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{3}^{\mathrm{x}} \:=\mathrm{9x} \\ $$ Answered by Rasheed Soomro last updated on 04/Nov/16 $$\mathrm{3}^{\mathrm{x}} \:=\mathrm{9x}\Rightarrow\mathrm{x}=\mathrm{3}^{\mathrm{x}−\mathrm{2}}…

1-5-1-2-x-2-5-x-2-4x-5-dx-

Question Number 139978 by mathdanisur last updated on 02/May/21 $$\underset{\:−\mathrm{1}} {\overset{\:\mathrm{5}} {\int}}\left(\frac{\mathrm{1}}{\mathrm{2}}{x}−\mathrm{2}\right)\centerdot\mathrm{5}^{\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{{x}}−\mathrm{5}} \:{dx}=? \\ $$ Answered by MJS_new last updated on 03/May/21 $$\int\left(\frac{\mathrm{1}}{\mathrm{2}}{x}−\mathrm{2}\right)\mathrm{5}^{{x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{5}}…