Question Number 38640 by maxmathsup by imad last updated on 27/Jun/18 $${calculate}\:\sum_{{k}=\mathrm{1}} ^{{n}} {k}^{\mathrm{4}} \:\:{interms}\:{of}\:{n}. \\ $$ Commented by math khazana by abdo last updated…
Question Number 38533 by behi83417@gmail.com last updated on 26/Jun/18 Commented by math khazana by abdo last updated on 03/Aug/18 $$\left.\mathrm{1}\right)\:{f}\left({a}\right)={f}\left({b}\right)\:\Rightarrow\frac{{pa}+\sqrt{{pa}}}{\:\sqrt{{pa}+\mathrm{1}}}\:=\frac{{pb}+\sqrt{{pb}}}{\:\sqrt{{pb}}\:+\mathrm{1}}\:\Rightarrow \\ $$$$\left.\mathrm{2}\right)\:{f}\left({p}\right)={p}−\mathrm{1}\:\Rightarrow\frac{{p}^{\mathrm{2}} \:+{p}}{\:\sqrt{{p}^{\mathrm{2}} \:+\mathrm{1}}}\:={p}−\mathrm{1}\:\Rightarrow \\…
Question Number 38521 by math khazana by abdo last updated on 26/Jun/18 $${letf}\left({x}\right)\:=\:\frac{\mathrm{2}{x}+\mathrm{1}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$$$\left(\right. \\…
Question Number 38518 by math khazana by abdo last updated on 26/Jun/18 $${calculate}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \left(\mathrm{2}{n}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by prof Abdo imad last…
Question Number 38520 by math khazana by abdo last updated on 26/Jun/18 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\:\frac{\mathrm{3}{n}^{\mathrm{2}} \:+\mathrm{1}}{\left({n}−\mathrm{1}\right)^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by abdo mathsup 649…
Question Number 103995 by mathmax by abdo last updated on 18/Jul/20 $$\mathrm{solve}\:\mathrm{y}^{''} +\mathrm{2y}^{'} −\mathrm{y}\:=\frac{\mathrm{e}^{−\mathrm{x}} }{\mathrm{x}} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 38456 by maxmathsup by imad last updated on 25/Jun/18 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\left(−\mathrm{1}\right)^{{n}} \frac{{cos}\left({nx}\right)}{{n}^{\mathrm{2}} }\:\:{and}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\left(−\mathrm{1}\right)^{{n}} \:\frac{{sin}\left({nx}\right)}{{n}^{\mathrm{2}} } \\ $$ Terms of Service…
Question Number 38367 by Zuarkton last updated on 24/Jun/18 $${If}\:{f}\left({x}\right)={x}^{\mathrm{3}} +\mathrm{1}\:{then}\:{f}^{−\mathrm{1}} \left({x}\right)=? \\ $$ Commented by rahul 19 last updated on 24/Jun/18 $$\left({x}−\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$…
Question Number 38323 by math khazana by abdo last updated on 24/Jun/18 $${find}\:\sum_{{n}=\mathrm{1}} ^{+\infty} \:\:\:\frac{\mathrm{4}{n}}{\left(\mathrm{2}{n}−\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by math khazana by abdo…
Question Number 103763 by mathmax by abdo last updated on 17/Jul/20 $$\mathrm{calculate}\left\{\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \left(−\mathrm{1}\right)^{\mathrm{n}} \mathrm{x}^{\mathrm{n}} \right\}×\left\{\sum_{\mathrm{n}=\mathrm{o}} ^{\infty} \:\frac{\mathrm{x}^{\mathrm{2n}} }{\mathrm{n}+\mathrm{1}}\right\} \\ $$ Answered by mathmax by…