Question Number 11998 by ajfour last updated on 09/Apr/17 Commented by ajfour last updated on 09/Apr/17 $${What}\:{distance}\:{does}\:{point}\:{P}\: \\ $$$${travel}\:{as}\:{the}\:{centre}\:{moves}\: \\ $$$${forward}\:{by}\:\mathrm{2}\pi{R}\:.\:{The}\:{disc} \\ $$$$\:{rolls}\:{witbout}\:{slipping}\:. \\ $$…
Question Number 143071 by cesarL last updated on 09/Jun/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{\mathrm{8}{dx}}{{tgx}+\mathrm{1}} \\ $$ Answered by TheSupreme last updated on 09/Jun/21 $${y}={tan}\left({x}\right) \\ $$$$\frac{\mathrm{1}}{\mathrm{1}+{y}^{\mathrm{2}} }{dy}={dx}…
Question Number 77533 by vishalbhardwaj last updated on 07/Jan/20 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}\:\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:\mathrm{where}\:\mathrm{x}\neq\mathrm{0} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{function}\:\mathrm{at}\:\mathrm{x}=\mathrm{0} \\ $$$$\mathrm{and}\:\mathrm{given}\:\mathrm{that}\:\mathrm{function}\:\mathrm{is}\:\mathrm{continuous}\:\mathrm{at}\:\mathrm{x}=\mathrm{0}\:? \\ $$ Answered by MJS last updated on 07/Jan/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\mathrm{sin}\:\frac{\mathrm{1}}{{x}}\:=…
Question Number 143064 by EDWIN88 last updated on 09/Jun/21 $$\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:−\sqrt[{\mathrm{4}}]{\mathrm{1}−\mathrm{2x}}}{\mathrm{x}+\mathrm{x}^{\mathrm{2}} }\:=? \\ $$$$\:\:\:\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{7}+\mathrm{x}^{\mathrm{2}} }−\sqrt{\mathrm{3}+\mathrm{x}^{\mathrm{2}} }}{\mathrm{x}−\mathrm{1}}\:=? \\ $$ Answered by bramlexs22 last updated…
Question Number 11994 by algabara last updated on 09/Apr/17 $$\mathrm{4}{x}=\mathrm{60} \\ $$ Commented by tawa last updated on 09/Apr/17 $$\mathrm{4x}\:\:=\:\mathrm{60} \\ $$$$\mathrm{Divide}\:\mathrm{both}\:\mathrm{side}\:\mathrm{by}\:\mathrm{4} \\ $$$$\frac{\mathrm{4x}}{\mathrm{4}}\:=\:\frac{\mathrm{60}}{\mathrm{4}} \\…
Question Number 77528 by Mohamed Amine Bouguezzoul last updated on 07/Jan/20 $$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{k}^{\alpha} }{\mathrm{2}^{{k}} }=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11991 by FilupS last updated on 09/Apr/17 $$\mathrm{show}\:\mathrm{that}: \\ $$$$\frac{\mathrm{2}{n}}{\mathrm{2}{n}+\mathrm{1}}=\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}{n}+\mathrm{1}} \\ $$$$\mathrm{via}\:\mathrm{power}\:\mathrm{series},\:\mathrm{and}\:\mathrm{other}\:\mathrm{methods} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143063 by ERA last updated on 09/Jun/21 $$\boldsymbol{\mathrm{cos}}\left(\frac{\boldsymbol{\pi}}{\mathrm{2n}+\mathrm{1}}\right)\boldsymbol{\mathrm{cos}}\left(\frac{\mathrm{2}\boldsymbol{\pi}}{\mathrm{2n}+\mathrm{1}}\right)\boldsymbol{\mathrm{cos}}\left(\frac{\mathrm{3}\boldsymbol{\pi}}{\mathrm{2n}+\mathrm{1}}\right)…..\boldsymbol{\mathrm{cos}}\left(\frac{\boldsymbol{\mathrm{n}\pi}}{\mathrm{2}\boldsymbol{\mathrm{n}}+\mathrm{1}}\right)=\frac{\mathrm{1}}{\mathrm{2}^{\boldsymbol{\mathrm{n}}} } \\ $$$$\boldsymbol{\mathrm{prove}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77524 by BK last updated on 07/Jan/20 Commented by lémùst last updated on 07/Jan/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{question}\:? \\ $$ Commented by BK last updated on…
Question Number 11988 by tawa last updated on 08/Apr/17 Commented by tawa last updated on 09/Apr/17 $$\mathrm{please}\:\mathrm{help}\:\mathrm{with}\:\mathrm{this}.\:\mathrm{Thanks}\:\mathrm{in}\:\mathrm{advance}.\:\mathrm{16a},\:\mathrm{16b},\:\mathrm{17a} \\ $$ Commented by tawa last updated on…