Question Number 160310 by HongKing last updated on 27/Nov/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{period}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}: \\ $$$$\mathrm{y}\:=\:\mathrm{tan}\:\frac{\pi\mathrm{x}}{\mathrm{k}}\:+\:\mathrm{cos}\:\frac{\mathrm{2}\pi\mathrm{x}}{\mathrm{k}\:+\:\mathrm{5}} \\ $$ Commented by mr W last updated on 27/Nov/21 $${period}={lcm}\left({k},\:{k}+\mathrm{5}\right) \\ $$…
Question Number 160296 by mathlove last updated on 27/Nov/21 Commented by bobhans last updated on 27/Nov/21 $$\:\:\:\:\:\:\:\:\:\:\left(\mathrm{3}\right)^{\frac{\mathrm{3}}{\mathrm{x}+\mathrm{1}}} \:=\:\left(\mathrm{3}\right)^{\frac{\mathrm{2}}{\mathrm{x}}} \:\Leftrightarrow\:\mathrm{3x}=\mathrm{2x}+\mathrm{2}\:;\:\mathrm{x}=\mathrm{2} \\ $$ Answered by Rasheed.Sindhi last…
Question Number 160302 by cortano last updated on 27/Nov/21 Answered by Rasheed.Sindhi last updated on 27/Nov/21 $$\begin{cases}{\mathrm{8}{x}^{\mathrm{2}} −\mathrm{8}{y}^{\mathrm{2}} =\mathrm{24}}\\{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{xy}+\mathrm{6}{y}^{\mathrm{2}} =\mathrm{24}}\end{cases}\Rightarrow\mathrm{5}{x}^{\mathrm{2}} −\mathrm{3}{xy}−\mathrm{14}{y}^{\mathrm{2}} =\mathrm{0} \\ $$$$\Rightarrow\mathrm{5}{x}^{\mathrm{2}}…
Question Number 160289 by amin96 last updated on 27/Nov/21 $$\underset{{n}\geqslant\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} }=? \\ $$ Answered by qaz last updated on 27/Nov/21 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{n}\left(\mathrm{2n}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 160283 by HongKing last updated on 27/Nov/21 Commented by amin96 last updated on 27/Nov/21 $$ \\ $$i solved it. The solution is in…
Question Number 94742 by I want to learn more last updated on 20/May/20 Commented by I want to learn more last updated on 20/May/20 $$\mathrm{1}.\:\:\:\mathrm{let}\:\:\mathrm{A}\:\:=\:\:\left(\mathrm{a}_{\mathrm{ij}}…
Question Number 160282 by HongKing last updated on 27/Nov/21 $$\mathrm{Find}:\:\:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\boldsymbol{\mathrm{b}}} {\mathrm{lim}}\:\frac{\mathrm{b}^{\boldsymbol{\mathrm{x}}} \:-\:\mathrm{x}^{\boldsymbol{\mathrm{b}}} }{\mathrm{x}\:-\:\mathrm{b}} \\ $$ Answered by puissant last updated on 27/Nov/21 $$=\underset{{x}\rightarrow{b}} {\mathrm{lim}}\frac{{ln}\left({b}\right){b}^{{x}} −{bx}^{{b}−\mathrm{1}}…
Question Number 29196 by mathshooter last updated on 05/Feb/18 $$\mathrm{Let}\:\mathrm{s}\:=\:\mathrm{n}_{\mathrm{c}_{\mathrm{1}} } \:−\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{2}} } \:+\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{3}} } \\ $$$$+…….+\left(−\mathrm{1}\right)^{\mathrm{n}−\mathrm{1}} \left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+….+\frac{\mathrm{1}}{\mathrm{n}}\right)\mathrm{n}_{\mathrm{c}_{\mathrm{n}} } \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{s}×\mathrm{n}\:=\mathrm{1}. \\ $$ Terms of…
Question Number 29184 by ANTARESVY last updated on 05/Feb/18 $$\begin{cases}{\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{xy}}}+\sqrt{\boldsymbol{\mathrm{y}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{\mathrm{xy}}+\mathrm{9}}=\mathrm{10}}\\{\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}=\mathrm{7}}\end{cases} \\ $$$$\boldsymbol{\mathrm{How}}\:\boldsymbol{\mathrm{many}}\:\:\boldsymbol{\mathrm{real}}\:\boldsymbol{\mathrm{roots}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{equtions}}\:\boldsymbol{\mathrm{system}}? \\ $$ Answered by mrW2 last updated on 05/Feb/18…
Question Number 160259 by HongKing last updated on 26/Nov/21 $$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\left(-\mathrm{1}\right)^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:\frac{\mathrm{1}\centerdot\mathrm{4}\centerdot…\centerdot\left(\mathrm{3n}-\mathrm{2}\right)}{\mathrm{7}\centerdot\mathrm{9}\centerdot…\centerdot\left(\mathrm{2n}+\mathrm{5}\right)}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com