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Author: Tinku Tara

16-x-2-4-9x-2-dx-

Question Number 5026 by gourav~ last updated on 04/Apr/16 $$\int\frac{\mathrm{16}}{{x}^{\mathrm{2}} \sqrt{\mathrm{4}−\mathrm{9}{x}^{\mathrm{2}} }}{dx}\:=? \\ $$$$ \\ $$ Answered by Yozzii last updated on 04/Apr/16 $${Let}\:{x}=\frac{\mathrm{2}}{\mathrm{3}}{cosy}\Rightarrow{dx}=−\frac{\mathrm{2}}{\mathrm{3}}{sinydy} \\…

I-compute-k-0-1000-C-2000-2k-

Question Number 136098 by SOMEDAVONG last updated on 18/Mar/21 $$\left.\mathrm{I}\right).\mathrm{compute}\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{1000}} {\sum}}\mathrm{C}_{\mathrm{2000}} ^{\mathrm{2k}} . \\ $$ Answered by Olaf last updated on 18/Mar/21 $$\left(\mathrm{1}−\mathrm{1}\right)^{\mathrm{2000}} \:=\:\mathrm{0}\:=\:\underset{{p}=\mathrm{0}}…

nice-calculus-in-AB-C-cos-A-cos-B-cos-C-1-9-find-the-value-of-cos-2-A-cos-2-B-cos-2-C-

Question Number 136094 by mnjuly1970 last updated on 19/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:….\:{nice}\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:{in}\:{A}\overset{\Delta} {{B}C}\:::\:{cos}\left({A}\right){cos}\left({B}\right){cos}\left({C}\right)=\frac{\mathrm{1}}{\mathrm{9}} \\ $$$$\:\:\:{find}\:\:{the}\:{value}\:{of}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{cos}^{\mathrm{2}} \left({A}\right)+{cos}^{\mathrm{2}} \left({B}\right)+{cos}^{\mathrm{2}} \left({C}\right)=? \\ $$ Commented by MJS_new…