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Question-217669

Question Number 217669 by MathWizz last updated on 17/Mar/25 Answered by SdC355 last updated on 18/Mar/25 $${x}=\:^{\mathrm{10}} \sqrt{{m}} \\ $$$$\mathrm{12}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{7}/\mathrm{5}} +\mathrm{3}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{2}/\mathrm{5}} =\mathrm{13}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{9}/\mathrm{10}}…

Question-217593

Question Number 217593 by Spillover last updated on 16/Mar/25 Answered by mahdipoor last updated on 16/Mar/25 $${for}\:{example}\: \\ $$$${S}=\mathrm{32}\:\:\:\:\:\:\:\:{Al}=\mathrm{27}\:\:\:\:\:\:\:\:{O}=\mathrm{16}\:\:\:\:\:\:\:\:\:\:{g}/{mol} \\ $$$${Al}_{\mathrm{2}} \left({SO}_{\mathrm{4}} \right)_{\mathrm{3}} =\mathrm{2}{Al}+\mathrm{3}{S}+\mathrm{12}{O}=\mathrm{296}\:\:{g}/{mol} \\…

Whether-the-following-seriesconverge-determinant-n-1-1-n-1-n-ln-1-2-2n-1-

Question Number 217378 by MrGaster last updated on 12/Mar/25 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Whether}\:\mathrm{the}\:\mathrm{following}\: \\ $$$$\mathrm{seriesconverge}: \\ $$$$\begin{array}{|c|}{\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \left[\mathrm{1}+{n}\:\mathrm{ln}\left(\mathrm{1}−\frac{\mathrm{2}}{\mathrm{2}{n}+\mathrm{1}}\right)\right]}\\\hline\end{array} \\ $$ Terms of Service Privacy Policy Contact:…

k-1-1-k-is-Divergence-p-P-1-p-P-is-set-of-prime-number-p-P-1-p-1-2-1-3-1-5-1-7-1-11-1-13-1-17-1-19-and-does-k-N-P-1-k-is-Divergenc

Question Number 217352 by issac last updated on 11/Mar/25 $$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{k}}\:\mathrm{is}\:\mathrm{Divergence}. \\ $$$$\underset{{p}\in\mathbb{P}} {\sum}\:\frac{\mathrm{1}}{{p}}=\:??\:\:\:\mathbb{P}\:\mathrm{is}\:\mathrm{set}\:\mathrm{of}\:\mathrm{prime}\:\mathrm{number} \\ $$$$\underset{{p}\in\mathbb{P}} {\sum}\:\frac{\mathrm{1}}{{p}}=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{11}}+\frac{\mathrm{1}}{\mathrm{13}}+\frac{\mathrm{1}}{\mathrm{17}}+\frac{\mathrm{1}}{\mathrm{19}}+….. \\ $$$$\mathrm{and}\:\:\mathrm{does}\:\underset{{k}\in\mathbb{N}\backslash\left\{\mathbb{P}\right\}} {\sum}\frac{\mathrm{1}}{{k}}\:\mathrm{is}\:\mathrm{Divergence}..?? \\ $$$$\mathbb{N}\backslash\left\{\mathbb{P}\right\}\:\mathrm{is} \\ $$$$\mathrm{Set}\:\mathrm{of}\:\mathrm{Natural}\:\mathrm{number}−\mathrm{Prime}\:\mathrm{Number}…

0-1-x-ln-2-x-1-x-2-dx-

Question Number 217235 by Tawa11 last updated on 06/Mar/25 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{x}\:\mathrm{ln}^{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{1}\:\:+\:\:\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Answered by MrGaster last updated on 06/Mar/25 $$=\int_{\mathrm{0}} ^{\mathrm{1}}…

a-b-b-a-1-

Question Number 217191 by dabiswa1986 last updated on 05/Mar/25 $$\:\frac{{a}}{{b}}+\frac{{b}}{{a}}=\mathrm{1} \\ $$ Answered by ArshadS last updated on 06/Mar/25 $$\:\frac{{a}}{{b}}+\frac{{b}}{{a}}=\mathrm{1} \\ $$$$\Rightarrow{a}^{\mathrm{2}} −{ab}+{b}^{\mathrm{2}} =\mathrm{0} \\…