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Author: Tinku Tara

Question-201443

Question Number 201443 by sonukgindia last updated on 06/Dec/23 Commented by mr W last updated on 06/Dec/23 $${i}\:{and}\:{many}\:{others}\:{do}\:{our}\:{best}\:{to} \\ $$$${answer}\:{your}\:{questions}.\:{but}\:{why}\: \\ $$$${don}'{t}\:{you}\:{answer}\:{any}\:{question}\:{of}\: \\ $$$${mine}\:{and}\:{others}? \\…

Question-201343

Question Number 201343 by gabi last updated on 05/Dec/23 Answered by aleks041103 last updated on 05/Dec/23 $${A}^{\mathrm{3}} +{A}^{\mathrm{2}} +{A}=\mathrm{0} \\ $$$$\lambda\:{is}\:{eigenvalue} \\ $$$$\Rightarrow\lambda^{\mathrm{3}} +\lambda^{\mathrm{2}} +\lambda=\lambda\left(\lambda^{\mathrm{2}}…

Question-201388

Question Number 201388 by MrGHK last updated on 05/Dec/23 Answered by witcher3 last updated on 05/Dec/23 $$=\underset{\mathrm{n}\geqslant\mathrm{1}} {\sum}\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}}\underset{\mathrm{m}\geqslant\mathrm{0}} {\sum}\int_{\mathrm{0}} ^{\mathrm{1}} \left(−\mathrm{1}\right)^{\mathrm{m}} \mathrm{x}^{\mathrm{n}+\mathrm{2m}} \mathrm{dx} \\…