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Question-120920

Question Number 120920 by Khalmohmmad last updated on 04/Nov/20 Answered by MJS_new last updated on 04/Nov/20 $$\mathrm{20}^{\mathrm{111}} \\ $$$$ \\ $$$$\mathrm{0}\:\mathrm{because}\:{k}=\mathrm{0}\:\Rightarrow\:{k}^{\mathrm{2}} +{k}=\mathrm{0}\:\mathrm{and}\:\mathrm{we}'\mathrm{re}\:\mathrm{multiplying} \\ $$$$ \\…

1-e-x-1-dx-

Question Number 120919 by bounhome last updated on 04/Nov/20 $$\int\frac{\mathrm{1}}{\left({e}^{{x}} +\mathrm{1}\right)}{dx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 04/Nov/20 $$\int\frac{\mathrm{1}}{{e}^{{x}} +\mathrm{1}}{dx} \\ $$$$=\int\frac{{dt}}{{t}\left({t}−\mathrm{1}\right)}\:\:\:\:\:\:\:\:\:\:\:\:{t}={e}^{{x}}…

1-1-2-1-1-2-3-1-1-2-3-4-1-1-2-3-10-

Question Number 186453 by norboyev last updated on 04/Feb/23 $$\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}}+…+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}+…+\mathrm{10}}=? \\ $$ Answered by ARUNG_Brandon_MBU last updated on 04/Feb/23 $${S}=\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}}+\centerdot\centerdot\centerdot+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}+\centerdot\centerdot\centerdot+\mathrm{10}} \\ $$$$\:\:\:=\underset{{n}=\mathrm{2}} {\overset{\mathrm{10}} {\sum}}\frac{\mathrm{1}}{\underset{{k}=\mathrm{1}} {\overset{{n}}…

L-lim-x-pi-4-1-cos-2-x-2tanx-cos2x-

Question Number 120914 by SOMEDAVONG last updated on 04/Nov/20 $$\mathrm{L}/.\underset{{x}\rightarrow\frac{\pi}{\mathrm{4}}} {\mathrm{lim}}\frac{\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\:−\:\mathrm{2tanx}}{\mathrm{cos2x}}\:\:=\:? \\ $$ Answered by bemath last updated on 04/Nov/20 $$\:\underset{{x}\rightarrow\pi/\mathrm{4}} {\mathrm{lim}}\:\frac{\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2tan}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{2x}} \\…

The-sum-of-all-but-one-of-the-interior-angles-of-a-convex-polygon-equals-2525-find-the-measure-of-the-exterior-angle-adjacent-to-the-remaining-interior-angle-can-you-please-help-if-possible-with

Question Number 55333 by Otchere Abdullai last updated on 21/Feb/19 $${The}\:{sum}\:{of}\:{all}\:{but}\:{one}\:{of}\:{the}\:{interior} \\ $$$${angles}\:{of}\:{a}\:{convex}\:{polygon}\:{equals}\: \\ $$$$\mathrm{2525}°\:.\:{find}\:{the}\:{measure}\:{of}\:{the} \\ $$$${exterior}\:{angle}\:{adjacent}\:{to}\:{the} \\ $$$${remaining}\:{interior}\:{angle}.\: \\ $$$${can}\:{you}\:{please}\:{help}\:{if}\:{possible}\:{with} \\ $$$${diagram}\: \\ $$…