Question Number 115916 by I want to learn more last updated on 29/Sep/20 Answered by mr W last updated on 30/Sep/20 $${say}\:{the}\:{first}\:{shelf}\:{has}\:{k}\:{books}, \\ $$$${then}\:{the}\:{second}\:{shelf}\:{has}\:\mathrm{15}−{k}\:{books}. \\…
Question Number 50383 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{U}_{{n}} =\left\{\left({x},{y}\right)\in{N}^{\mathrm{2}} /\mathrm{2}{x}+\mathrm{3}{y}={n}\right\} \\ $$$${prove}\:{that}\:{U}_{{n}} ={U}_{{n}−\mathrm{2}} \:+{U}_{{n}−\mathrm{3}} −{U}_{{n}−\mathrm{5}} \\ $$$${for}\:{n}\geqslant\mathrm{5}\:. \\ $$ Terms of…
Question Number 181449 by Socracious last updated on 25/Nov/22 $$\:\:\:\:\:\:\:\mathrm{integrate} \\ $$$$\:\:\:\:\:\:\:\:\int\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{dx}} \\ $$ Commented by Frix last updated on 25/Nov/22 $$\mathrm{See}\:\mathrm{question}\:\mathrm{121680} \\ $$…
Question Number 50380 by prof Abdo imad last updated on 16/Dec/18 $$\left.\mathrm{1}\right)\:{decompose}\:{F}\left({x}\right)=\frac{\mathrm{1}}{\left({x}−{a}\right)^{{n}} \left({x}−{b}\right)^{{n}} } \\ $$$${witha}\neq{b} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{values}\:{of}\:\sum_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:\:\frac{{C}_{{p}+{k}−\mathrm{1}} ^{{k}} }{\mathrm{2}^{{k}+{p}} }\: \\ $$$$+\:\sum_{{k}=\mathrm{0}}…
Question Number 181448 by Socracious last updated on 25/Nov/22 $$\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{m}} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}} } } =\mathrm{62} \\ $$$$ \\ $$ Commented by Frix last…
Question Number 50379 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{U}_{{n}} =\left\{{z}\in{C}\:/{z}^{{n}} =\mathrm{1}\right\}\:\:{find}\:{two}\:{polynom}\:{A}\left({x}\right) \\ $$$${and}\:{B}\left({x}\right)\:{verify}\:\:\sum_{{w}\in{U}_{{n}} } \:\:\:\:\frac{{w}}{\left({x}−{w}\right)^{\mathrm{2}} }\:=\frac{{A}\left({x}\right)}{{B}\left({x}\right)} \\ $$ Terms of Service Privacy…
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