Question Number 3411 by Filup last updated on 13/Dec/15 $$\mathrm{Can}\:\mathrm{someone}\:\mathrm{show}\:\mathrm{me}\:\mathrm{how}: \\ $$$$\left({i}\right)\:\:\:\:\left({x}+{a}\right)^{{v}} =\underset{{k}=\mathrm{0}} {\overset{{v}} {\sum}}\begin{pmatrix}{{v}}\\{{k}}\end{pmatrix}\:{x}^{{v}−{k}} {a}^{{k}} \\ $$$$\left({ii}\right)\:\:\mathrm{Does}: \\ $$$$\:\:\:\:\:\underset{{k}=\mathrm{0}} {\overset{{v}} {\sum}}\begin{pmatrix}{{v}}\\{{k}}\end{pmatrix}\:{x}^{{v}−{k}} {a}^{{k}} =\underset{{k}=\mathrm{0}} {\overset{{v}}…
Question Number 134480 by mohammad17 last updated on 04/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68947 by Cmr 237 last updated on 20/Oct/19 $$\mathrm{please} \\ $$$$\mathrm{utilise}\:\mathrm{cette}\:\mathrm{fonction}\:\mathrm{to}\: \\ $$$$\mathrm{sh}\boldsymbol{\mathrm{ow}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{N}}\ast\boldsymbol{\mathrm{N}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{denombrable}} \\ $$$$\:\mathrm{f}:\boldsymbol{\mathrm{N}}\circledast\boldsymbol{\mathrm{N}}\rightarrow\boldsymbol{\mathrm{N}} \\ $$$$\:\:\:\:\left(\mathrm{x},\mathrm{y}\right)\shortmid\rightarrow\frac{\left(\mathrm{x}+\mathrm{y}\right)\left(\mathrm{x}+\mathrm{y}+\mathrm{1}\right)}{\mathrm{2}}+\mathrm{y} \\ $$$$\mathrm{montrer}\:\mathrm{que}\:\mathrm{f}\:\mathrm{est}\:\mathrm{bijective} \\ $$$$\:\:\:\boldsymbol{\mathrm{P}}\mathrm{lease}\:\mathrm{help} \\ $$$$…
Question Number 3410 by 123456 last updated on 13/Dec/15 $$\mathrm{lets}\:\left({u},{v},{w}\right)\in\mathbb{C}^{\mathrm{3}} \:\mathrm{such}\:\mathrm{that}\:{uvw}\neq\mathrm{0},\:\mathrm{proof} \\ $$$$\mathrm{that}\:\left(\mathrm{or}\:\mathrm{give}\:\mathrm{a}\:\mathrm{counter}\:\mathrm{example}\right) \\ $$$$\frac{{v}}{{u}}=\frac{{w}}{{v}}\wedge\mid{u}\mid=\mid{v}\mid=\mid{w}\mid\wedge{u}\neq{w}\Rightarrow{u}+{v}+{w}=\mathrm{0} \\ $$ Commented by RasheedSindhi last updated on 13/Dec/15 $$\mathcal{W}{hat}\:{is}\:{meant}\:{by}\:{u},{v},{w}\in\mathbb{C}^{\mathrm{3}}…
Question Number 134482 by benjo_mathlover last updated on 04/Mar/21 $$ \\ $$How many ways can this be done if you distribute 25 identical pieces of…
Question Number 134479 by abdullahquwatan last updated on 04/Mar/21 $$\mathrm{sin}\:\mathrm{x}+\mathrm{sin}\:\mathrm{2x}+\mathrm{sin}\:\mathrm{3x}=\mathrm{cos}\:\mathrm{x}+\mathrm{2cos}\:^{\mathrm{2}} \mathrm{x} \\ $$$$\mathrm{0}<\mathrm{x}<\pi \\ $$ Answered by EDWIN88 last updated on 14/Mar/21 $$\mathrm{sin}\:\mathrm{3x}+\mathrm{sin}\:\mathrm{x}\:=\:\mathrm{2sin}\:\mathrm{2x}\:\mathrm{cos}\:\mathrm{x} \\ $$$$\left(\bullet\right)\mathrm{2sin}\:\mathrm{2x}\:\mathrm{cos}\:\mathrm{x}\:+\:\mathrm{sin}\:\mathrm{2x}\:=\:\mathrm{cos}\:\mathrm{x}\left(\mathrm{1}+\mathrm{2cos}\:\mathrm{x}\right)…
Question Number 68941 by ahmadshah last updated on 17/Sep/19 Commented by mr W last updated on 17/Sep/19 $${what}\:{if}\:{the}\:{cable}\:{is}\:\mathrm{100}\:{m}\:{long}? \\ $$ Commented by MJS last updated…
Question Number 134472 by EDWIN88 last updated on 04/Mar/21 $$ \\ $$Badu took a test consisting of 3 multiple choice questions with 4 answer choices…
Question Number 134475 by EDWIN88 last updated on 04/Mar/21 $$\mathrm{If}\:\mathrm{1}+\mathrm{cos}\:\mathrm{x}+\mathrm{cos}\:\mathrm{2x}+\mathrm{cos}\:\mathrm{3x}+\mathrm{cos}\:\mathrm{4x}+…+\infty\:=\:\mathrm{3} \\ $$$$\mathrm{for}\:\mathrm{0}<\mathrm{x}\leqslant\frac{\pi}{\mathrm{2}} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}\:\mathrm{x}+\mathrm{sin}\:\mathrm{2x}+\mathrm{sin}\:\mathrm{3x}+…+\infty \\ $$ Commented by Dwaipayan Shikari last updated on 04/Mar/21 $$\underset{{n}=\mathrm{0}}…
Question Number 134474 by rs4089 last updated on 04/Mar/21 $${Evaluate}\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{{sinx}}{{x}^{{a}} }{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 04/Mar/21 $$\int_{\mathrm{0}} ^{\infty}…