Question Number 60504 by prof Abdo imad last updated on 21/May/19 $$\:{let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}^{\mathrm{2}} \:+\mathrm{2}^{\mathrm{2}} \:+…{k}^{\mathrm{2}} }{\mathrm{1}^{\mathrm{4}} \:+\mathrm{2}^{\mathrm{4}} \:+…+{k}^{\mathrm{4}} } \\ $$$${study}\:{the}\:{convergence}\:{of}\:{S}_{{n}} \\ $$…
Question Number 60503 by prof Abdo imad last updated on 21/May/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n}}{\mathrm{1}^{\mathrm{3}} \:+\mathrm{2}^{\mathrm{3}} \:+\mathrm{3}^{\mathrm{3}} \:+…+{n}^{\mathrm{3}} } \\ $$ Answered by Prithwish sen last…
Question Number 126039 by snipers237 last updated on 16/Dec/20 $${Let}\:{A}=\left[\mathrm{2};\infty\left[^{\mathrm{2}} \:\:{and}\:{f}\:\in\left(\mathbb{R}×\mathbb{R}\right)^{\mathbb{R}} \:{such}\:{as}\:\right.\right. \\ $$$${f}\left({x},{y}\right)=\frac{\chi_{{A}} \left({x},{y}\right)}{{E}\left({x}\right)^{{E}\left({y}\right)} }\:\:{where}\:\chi_{{A}} \:{is}\:{the}\:{caracteristic}\:{function}\:{of}\:{A} \\ $$$$\:{Prove}\:{that}\:{f}\:{is}\:{a}\:{density}\:{of}\:{a}\:{probability}\:{P} \\ $$ Answered by mindispower last…
let-f-x-arctan-2x-ln-1-x-2-1-calculate-f-x-2-determine-f-n-x-and-f-n-0-3-developp-f-at-integr-serie-
Question Number 60502 by prof Abdo imad last updated on 21/May/19 $${let}\:{f}\left({x}\right)\:={arctan}\left(\mathrm{2}{x}\right)\:{ln}\:\left(\mathrm{1}−{x}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:\:{determine}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right)\:{developp}\:\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$ Commented…
Question Number 60501 by prof Abdo imad last updated on 21/May/19 $${let}\:{A}\:=\begin{pmatrix}{\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right){calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{e}^{{A}} \:\:\:{and}\:{e}^{−{A}} \:. \\ $$$$ \\ $$ Commented by maxmathsup…
Question Number 60500 by prof Abdo imad last updated on 21/May/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{2}\:\:\:\mathrm{3}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{A}^{−\mathrm{1}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{3}\right)\:{determine}\:{e}^{{A}} \:\:\:{and}\:{e}^{−\mathrm{2}{A}} \:. \\ $$ Commented by maxmathsup…
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Question Number 60499 by abdo mathsup 649 cc last updated on 21/May/19 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{4}} } \\ $$ Commented by maxmathsup by imad…
Question Number 191568 by TUN last updated on 26/Apr/23 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} \left({x}+\mathrm{1}\right)^{{n}} }{\left({n}+\mathrm{1}\right){ln}\left({n}+\mathrm{1}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60498 by abdo mathsup 649 cc last updated on 21/May/19 $${let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{\mathrm{3}} \sqrt{{t}\:+{x}\:+{x}^{\mathrm{2}} }{dx}\:\:{with}\:{t}\:\geqslant\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({t}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{also}\:{g}\left({t}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{3}} \:\:\:\frac{{dx}}{\:\sqrt{{t}+{x}\:+{x}^{\mathrm{2}} }} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\:\int_{\mathrm{0}}…