Question Number 181450 by Socracious last updated on 25/Nov/22 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{\infty} {\overset{-\infty} {\int}}\boldsymbol{\mathrm{lnxdx}} \\ $$ Commented by universe last updated on 26/Nov/22 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{\infty} {\overset{-\infty} {\int}}\boldsymbol{\mathrm{lnxdx}} \\…
Question Number 50377 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{p}\:{is}\:{a}\:{polynome}\:{with}\:{degp}={n}\geqslant\mathrm{2}\:{hsving}\:{n}\:{roots} \\ $$$${simples}\:{prove}\:{that}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{p}^{,} \left({x}_{{k}} \right)}\:=\mathrm{0} \\ $$ Terms of Service Privacy Policy…
Question Number 50376 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{p}\in\:{K}\left[{x}\right]\:{prove}\:{that}\:{p}−{x}\:{divide}\:{pop}\left({x}\right)−{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 50374 by prof Abdo imad last updated on 16/Dec/18 $${determine}\:{all}\:{polynoms}\:{p}\:\in{R}\left[{x}\right]\:{wich}\:{verify} \\ $$$${p}\left({x}^{\mathrm{2}} \right)={p}\left({x}\right){p}\left({x}+\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 50375 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{f}\left({x}\right)=\frac{\mathrm{1}}{{cosx}}\:{prove}\:{that}\:{f}^{\left.\right)\left.{n}\right)} \left({x}\right)=\frac{{p}_{{n}} \left({sinx}\right)}{{cos}^{{n}+\mathrm{1}} {x}} \\ $$$${with}\:{p}_{{n}} \:{is}\:{apolynom} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:{p}_{\mathrm{1}} ,{p}_{\mathrm{2}} \:{and}\:{p}_{\mathrm{3}} \\ $$$$\left.\mathrm{3}\right)\:{detdrmine}\:{p}_{{n}} \left(\mathrm{1}\right).…
Question Number 115908 by Eric002 last updated on 29/Sep/20 $${what}\:{is}\:{the}\:{cofficient}\:{of}\:{x}^{\mathrm{2}} \\ $$$$\left(\mathrm{1}+{x}\right)\left(\mathrm{1}+\mathrm{2}{x}\right)\left(\mathrm{1}+\mathrm{4}{x}\right)……\left(\mathrm{1}+\mathrm{2}^{{n}} {x}\right) \\ $$ Commented by soumyasaha last updated on 29/Sep/20 $$ \\ $$$$\:\mathrm{Coefficient}\:=\:…
Question Number 181447 by Socracious last updated on 25/Nov/22 $$\:\:\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{5}} +\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{5}} } \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\mathrm{3}\right)=? \\ $$ Answered by Frix last updated on 25/Nov/22 $${y}={x}+\frac{\mathrm{1}}{{x}}\:\Rightarrow \\…
Question Number 115909 by Eric002 last updated on 29/Sep/20 $${solve}\:{the}\:{system}\:{of}\:{equations} \\ $$$${x}+\frac{\mathrm{3}{x}−{y}}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }=\mathrm{3}\:,\:{y}−\frac{{x}+\mathrm{3}{y}}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }=\mathrm{0} \\ $$ Answered by MJS_new last updated on 29/Sep/20…
Question Number 50373 by prof Abdo imad last updated on 16/Dec/18 $${decompose}\:{in}\:{prime}\:{factors}\:{the}\:{polynom} \\ $$$${p}={x}^{\mathrm{2}{n}} −\mathrm{2}{cos}\alpha\:{x}^{{n}} \:+\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 115906 by Eric002 last updated on 29/Sep/20 $${find}\:{all}\:{pairs}\:{of}\:{integers}\:\left({x},{y}\right)\:{such}\:{that} \\ $$$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} =\left({x}+{y}\right)^{\mathrm{2}} \\ $$ Answered by mindispower last updated on 29/Sep/20 $${x}^{\mathrm{3}} +{y}^{\mathrm{3}}…