Question Number 226401 by fantastic2 last updated on 27/Nov/25 $${most}\:{hated}\:{trigonometric} \\ $$$${problem}: \\ $$$$\mathrm{sin}\left(\:\frac{\pi}{\mathrm{7}}\right)\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)\mathrm{sin}\:\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)=? \\ $$ Commented by AgniMath last updated on 27/Nov/25 $${bhannat}\:{maths}\:{op}. \\…
Question Number 226366 by klipto last updated on 26/Nov/25 $$\boldsymbol{\mathrm{compute}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{double}}\:\boldsymbol{\mathrm{integral}} \\ $$$$\int_{\boldsymbol{\mathrm{y}}=\mathrm{0}} ^{\mathrm{1}} \int_{\boldsymbol{\mathrm{x}}=\mathrm{0}} ^{\mathrm{2}} \boldsymbol{\mathrm{x}}^{\mathrm{2}} \boldsymbol{\mathrm{dxdy}}\:\boldsymbol{\mathrm{and}}\:\:\int_{\boldsymbol{\mathrm{y}}=\mathrm{0}} ^{\mathrm{1}} \int_{\boldsymbol{\mathrm{x}}=\mathrm{0}} ^{\mathrm{2}} \boldsymbol{\mathrm{y}}^{\mathrm{2}} \boldsymbol{\mathrm{dxdy}} \\ $$$$ \\…
Question Number 226362 by Rojarani last updated on 26/Nov/25 Answered by Frix last updated on 26/Nov/25 $$\alpha=\sqrt{\mathrm{3}}\mathrm{e}^{−\mathrm{i}\frac{\mathrm{3}\pi}{\mathrm{4}}} \\ $$$$\beta=\sqrt{\mathrm{3}}\mathrm{e}^{\mathrm{i}\frac{\mathrm{3}\pi}{\mathrm{4}}} \\ $$$$\alpha^{{n}} +\beta^{{n}} =\mathrm{2}×\mathrm{3}^{\frac{{n}}{\mathrm{2}}} \mathrm{cos}\:\frac{\mathrm{3}{n}\pi}{\mathrm{4}} \\…
Question Number 226384 by Lara2440 last updated on 26/Nov/25 Answered by Lara2440 last updated on 29/Nov/25 $$\mathrm{help} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 226386 by fantastic2 last updated on 26/Nov/25 Commented by fantastic2 last updated on 27/Nov/25 $${l}=\mathrm{5}\pi{R} \\ $$$${a}\:{force}\:{F}\:{is}\:{given}\:{horizontally} \\ $$$${for}\:\mathrm{1}{sec}\:{such}\:{that}\:{the}\:{speed}\:{of}\:{the}\:{ball} \\ $$$${becomes}\:\mathrm{0}\:{just}\:{before}\:{touching}\:{the}\:{cylinder} \\ $$$${find}\:{the}\:{time}\:{taken}\:{to}\:{touch}\:{and}\:{the}\:{force}…
Question Number 226351 by Lara2440 last updated on 26/Nov/25 $$\mathrm{Prove}\:\mathrm{M}\ddot {\mathrm{o}bious}\:\mathrm{String}\:\mathrm{is}\:\mathrm{Not}\:\mathrm{a}\:\mathrm{Orientated}\:\mathrm{Surface}. \\ $$$$\sigma\left({u},\theta\right)=\begin{cases}{\left(\mathrm{1}−{u}\centerdot\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{2}}\theta\right)\right)\mathrm{cos}\left(\theta\right)}\\{\left(\mathrm{1}−{u}\centerdot\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{2}}\theta\right)\right)\mathrm{sin}\left(\theta\right)}\\{{u}\centerdot\mathrm{cos}\left(\frac{\mathrm{1}}{\mathrm{2}}\theta\right)}\end{cases}\:\:,\:−\frac{\mathrm{1}}{\mathrm{2}}\leq{u}\leq\frac{\mathrm{1}}{\mathrm{2}}\:,\:\mathrm{0}\leq\theta\leq\mathrm{2}\pi \\ $$ Answered by Lara2440 last updated on 26/Nov/25 $$\: \\ $$$$\mathrm{To}\:\mathrm{show}\:\mathrm{that}\:\mathrm{this}\:\mathrm{Surface}\:\mathrm{is}\:\mathrm{Oriented},…
Question Number 226372 by ajfour last updated on 26/Nov/25 Commented by ajfour last updated on 26/Nov/25 $${Find}\:{radii}\:\left({equal}\right)\:{of}\:{the}\:{two} \\ $$$${circles}.\:{Rectangle}\:{sides}\:{are} \\ $$$${length}\:{a}=\mathrm{2},\:{height}\:{b}=\mathrm{1}. \\ $$ Answered by…
Question Number 226375 by ajfour last updated on 26/Nov/25 Commented by ajfour last updated on 26/Nov/25 $${Semicircle}\:{radius}\:{is}\:{R}.\:{Square} \\ $$$${side}\:{is}\:{s}.\:{Find}\:{circle}\:{radius}\:{r}. \\ $$ Answered by fantastic2 last…
Question Number 226371 by fantastic2 last updated on 26/Nov/25 $${calculate}\:{the}\:{volume}\:{of}\:{a}\:{sphere} \\ $$$${using}\:{double}\:{integral} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 226334 by fantastic2 last updated on 25/Nov/25 Commented by mr W last updated on 25/Nov/25 $${is}\:{the}\:{ground}\:{smooth}\:{or}\:{the}\:{roller} \\ $$$${rolls}\:{on}\:{the}\:{ground}\:{without}\:{slipping} \\ $$$${either}? \\ $$ Commented…