Question Number 62202 by maxmathsup by imad last updated on 17/Jun/19 $${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}\geqslant\mathrm{1}} \:\frac{\sqrt{{n}+\mathrm{1}}−\sqrt{{n}}}{{nln}\left({n}+\mathrm{1}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62199 by maxmathsup by imad last updated on 17/Jun/19 $${let}\:{f}\left({x}\right)\:={e}^{−\frac{\mathrm{1}}{{x}}} \:\:\:\:\:{determine}\:{f}^{\left({n}\right)} \:{by}\:{relation}\:{of}\:{recurrence}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62129 by maxmathsup by imad last updated on 15/Jun/19 $${let}\:{f}\left({x}\right)={ln}\left({x}+\mathrm{1}−\mathrm{2}\sqrt{{x}}\right) \\ $$$$\left.\mathrm{1}\right)\:{find}\:{D}_{{f}} \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{f}^{−\mathrm{1}} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\:\int{f}\:\left({x}\right){dx}\:{and}\:\:\int\:{f}^{−\mathrm{1}} \left({x}\right){dx} \\ $$ Commented by arcana last…
Question Number 62035 by maxmathsup by imad last updated on 14/Jun/19 $${study}\:{the}\:{sequence}\:\:{U}_{{n}+\mathrm{1}} =\sqrt{{U}_{{n}} \:+\frac{\mathrm{1}}{{n}+\mathrm{1}}}\:\:{with}\:\:{U}_{\mathrm{0}} =\mathrm{1}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62003 by maxmathsup by imad last updated on 13/Jun/19 $${let}\:\xi\left({x}\right)\:=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{{x}} }\:\:\:{with}\:{x}>\mathrm{1}\:\:{prove}\:{that}\:\:\xi\left({x}\right)\:=\prod_{{p}\:{prime}} \:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}−{p}^{−{x}} } \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 192979 by Red1ight last updated on 01/Jun/23 $$\mathrm{Can}\:\mathrm{this}\:\mathrm{be}\:\mathrm{optimized}\:\left(\mathrm{getting}\:\mathrm{the}\:\mathrm{minimum}\right)\:\mathrm{using}\:\mathrm{backprobagation}? \\ $$$$ \\ $$$$\alpha\left({x}_{{i}} ,{y}_{{i}} ,{h}_{{i}} \right)=\left({h}_{{i}} −{x}_{{i}} \right)^{\mathrm{2}} +{y}_{{i}} ^{\mathrm{2}} \\ $$$$\beta\left({y}_{{i}} ,{h}_{{i}} \right)={y}_{{i}}…
Question Number 61804 by maxmathsup by imad last updated on 09/Jun/19 $${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\sum_{{k}=\mathrm{2}} ^{\infty} \:\:\:\frac{\mathrm{1}}{{k}^{{n}} \:\:{k}!} \\ $$ Commented by maxmathsup by imad last…
Question Number 127332 by snipers237 last updated on 28/Dec/20 $${let}\:{a},{b},{c}\:{be}\:{integers}\:{such}\:{as} \\ $$$$\mathrm{0}<{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}\:<\:{c}\: \\ $$$${prove}\:{that}\:\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}}\:\:{is}\:{an}\:{integer} \\ $$ Terms of Service Privacy Policy…
Question Number 61751 by maxmathsup by imad last updated on 08/Jun/19 $${use}\:{newton}\:{method}\:{to}\:{solve}\:{the}\:{equation}\:\:{x}^{\mathrm{4}} −\mathrm{3}{x}−\mathrm{1}\:=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61657 by maxmathsup by imad last updated on 05/Jun/19 $${U}_{{n}} \:{and}\:{V}_{{n}} \:\:{are}\:{two}\:{sequences}\:\:{verify}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:{V}_{{k}} \\ $$$${determine}\:{V}_{{n}} \:\:{interms}\:{of}\:\:{U}_{{k}} \:\:\:\:\:\:\:,\mathrm{0}\leqslant{k}\leqslant{n} \\ $$…