Question Number 210515 by hardmath last updated on 11/Aug/24 $$\mathrm{Find}: \\ $$$$\frac{\mathrm{1}}{\mathrm{7}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{11}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{13}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{17}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{19}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{23}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{29}^{\mathrm{2}} }\:+\:…\:=\:? \\ $$ Commented by mr W…
Question Number 210508 by hardmath last updated on 11/Aug/24 Answered by mr W last updated on 11/Aug/24 Commented by mr W last updated on 11/Aug/24…
Question Number 210533 by hardmath last updated on 11/Aug/24 Commented by mr W last updated on 12/Aug/24 $${typo}\:{AD}\centerdot\frac{\cancel{{m}}\:{n}}{{m}+{n}}−{AB}\centerdot\frac{{q}}{{p}+{q}}\:? \\ $$ Answered by mr W last…
Question Number 210496 by lmcp1203 last updated on 11/Aug/24 Commented by mr W last updated on 11/Aug/24 $${has}\:{that}\:{bracket}\:{a}\:{special}\:{meaning}? \\ $$ Commented by lmcp1203 last updated…
Question Number 210473 by Ismoiljon_008 last updated on 10/Aug/24 Answered by mrdiane last updated on 11/Aug/24 $${on}\:{a}\:\begin{cases}{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} −\mathrm{10}{xcos}\left(\theta\right)}\\{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\left({x}+\mathrm{5}\right)^{\mathrm{2}} −\mathrm{2}{x}\left({x}+\mathrm{5}\right){cos}\left(\Pi−\theta\right)}\end{cases} \\ $$$$\Leftrightarrow\begin{cases}{\mathrm{7}^{\mathrm{2}}…
Question Number 210456 by peter frank last updated on 09/Aug/24 Commented by mr W last updated on 09/Aug/24 $${who}\:{knows}\:{what}\:{is}\:\mathrm{2}\:{and}\:{what}\:{is}\:{z} \\ $$$${when}\:{you}\:{write}\:{them}\:{identically}? \\ $$ Commented by…
Question Number 210457 by peter frank last updated on 09/Aug/24 Commented by peter frank last updated on 09/Aug/24 $$\left(\mathrm{b}\right)\:\mathrm{and}\:\left(\mathrm{c}\right)\:\mathrm{help} \\ $$ Commented by mr W…
Question Number 210441 by universe last updated on 09/Aug/24 Answered by aleks041103 last updated on 09/Aug/24 $$\left({i}\right)\: \\ $$$${for}\:{odd}\:{n},\:{the}\:{function}\:{sin}^{{n}} \left({nx}\right)\:{is}\:{similar} \\ $$$${to}\:{sin}\left({x}\right)\:{with}\:{the}\:{fact}\:{that}\:{the}\:{primitive}\:{function}\:{oscilates} \\ $$$${between}\:\mathrm{0}\:{and}\:{the}\:{maximal}\:{possible}\:{value} \\…
Question Number 210439 by universe last updated on 09/Aug/24 Commented by universe last updated on 09/Aug/24 $${prove}\:{that}\:{the}\:{sequence}\:{is}\:{bounded}\:{and}\: \\ $$$${convergent} \\ $$ Answered by aleks041103 last…
Question Number 210467 by maths_plus last updated on 09/Aug/24 $$\mathrm{1}+\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}+…+\sqrt{\mathrm{n}}\:\:\:\mathrm{irrational}\:??? \\ $$ Answered by Frix last updated on 10/Aug/24 $$\mathrm{Yes}!!! \\ $$ Commented by maths_plus…