Question Number 90003 by M±th+et£s last updated on 20/Apr/20 $${show}\:{that} \\ $$$$\int_{−\infty} ^{\infty} \frac{{dx}}{\mathrm{1}+\left({x}+{tan}\left({x}\right)\right)^{\mathrm{2}\:} }=\pi \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 24465 by Tinkutara last updated on 18/Nov/17 $$\mathrm{Two}\:\mathrm{blocks}\:\mathrm{of}\:\mathrm{masses}\:{m}_{\mathrm{1}} \:\mathrm{and}\:{m}_{\mathrm{2}} \:\mathrm{are} \\ $$$$\mathrm{placed}\:\mathrm{in}\:\mathrm{contact}\:\mathrm{with}\:\mathrm{each}\:\mathrm{other}\:\mathrm{on}\:\mathrm{a} \\ $$$$\mathrm{horizontal}\:\mathrm{platform}.\:\mathrm{The}\:\mathrm{coefficient}\:\mathrm{of} \\ $$$$\mathrm{friction}\:\mathrm{between}\:\mathrm{the}\:\mathrm{platform}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{two}\:\mathrm{blocks}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}.\:\mathrm{The}\:\mathrm{platform} \\ $$$$\mathrm{moves}\:\mathrm{with}\:\mathrm{an}\:\mathrm{acceleration}.\:\mathrm{The}\:\mathrm{force} \\ $$$$\mathrm{of}\:\mathrm{interaction}\:\mathrm{between}\:\mathrm{the}\:\mathrm{blocks}\:\mathrm{is} \\…
Question Number 155533 by mnjuly1970 last updated on 01/Oct/21 $$ \\ $$$$\:\:\:{coefficiient}\:{of}\:\:\:\:{x}^{\:\mathrm{60}} \:=\:? \\ $$$$ \\ $$$$\:\:\:\mathrm{P}\:=\:\left({x}−\mathrm{1}\right)\left({x}^{\:\mathrm{2}} −\mathrm{1}\right)\left({x}^{\:\mathrm{3}} −\mathrm{1}\right)…\left({x}^{\:\mathrm{15}} −\mathrm{1}\right) \\ $$$$ \\ $$ Answered…
Question Number 24460 by sushmitak last updated on 18/Nov/17 $$\mathrm{A}\:\mathrm{uniform}\:\mathrm{rod}\:\mathrm{of}\:\mathrm{AB}\:\mathrm{of}\:\mathrm{mass} \\ $$$$\mathrm{m}=\mathrm{1}.\mathrm{12}\:\mathrm{kg}\:\mathrm{and}\:\mathrm{lengtj}\:\mathrm{l}=\mathrm{100cm}\:\mathrm{is} \\ $$$$\mathrm{placed}\:\mathrm{on}\:\mathrm{a}\:\mathrm{sharp}\:\mathrm{support}\:\mathrm{O}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{AO}={a}=\mathrm{40}{cm}.\:\mathrm{To}\:\mathrm{keep}\:\mathrm{the}\:\mathrm{rod} \\ $$$$\mathrm{horizontal},\:\mathrm{its}\:\mathrm{end}\:\mathrm{A}\:\mathrm{is}\:\mathrm{ties}\:\mathrm{with}\:\mathrm{a} \\ $$$$\mathrm{thread}.\:\mathrm{Calculate}\:\mathrm{reaction}\:\mathrm{of}\:\mathrm{support} \\ $$$$\mathrm{O}\:\mathrm{on}\:\mathrm{the}\:\mathrm{rod}\:\mathrm{when}\:\mathrm{the}\:\mathrm{thread}\:\mathrm{is}\:\mathrm{burnt}. \\ $$$$\left({g}=\mathrm{10}\:\mathrm{m}\centerdot\mathrm{s}^{−\mathrm{2}} \right)…
Question Number 89994 by jagoll last updated on 20/Apr/20 $$\mathrm{x}−\mathrm{y}=\mathrm{3}\sqrt{\mathrm{xy}} \\ $$$$\left(\frac{\mathrm{x}}{\mathrm{y}}−\mathrm{1}\right)^{\mathrm{3}} +\left(\frac{\mathrm{y}}{\mathrm{x}}−\mathrm{1}\right)^{\mathrm{3}} \:=\:? \\ $$ Answered by MJS last updated on 21/Apr/20 $${y}={px} \\…
Question Number 155531 by mathdanisur last updated on 01/Oct/21 Commented by ghimisi last updated on 02/Oct/21 $${min}=−\frac{\mathrm{1}}{\mathrm{4}}\:\:\:\:\:\:\left({a}=\frac{\mathrm{1}}{\mathrm{4}};{b}=\frac{\mathrm{1}}{\mathrm{2}};{c}=\frac{\mathrm{1}}{\mathrm{4}}\right) \\ $$ Commented by mathdanisur last updated on…
Question Number 24456 by gopikrishnan005@gmail.com last updated on 18/Nov/17 $${The}\:{product}\:{of}\:{a}\:{monomial}\:{by}\:{a}\:{binomial}\:{is}\:{a} \\ $$ Answered by $@ty@m last updated on 18/Nov/17 $${binomial}. \\ $$$${Example}: \\ $$$${x}\left({y}+{z}\right) \\…
Question Number 155524 by aliyn last updated on 01/Oct/21 $$\boldsymbol{{how}}\:\boldsymbol{{can}}\:\boldsymbol{{convert}}\:\boldsymbol{{the}}\:\boldsymbol{{interval}}\:\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{intigral}}\: \\ $$$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\:\boldsymbol{{dx}}\:\boldsymbol{{to}}\:\boldsymbol{{the}}\:\boldsymbol{{interval}}\:\int_{\mathrm{0}} ^{\:\infty} \:\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\:\boldsymbol{{dx}}\:? \\ $$ Commented by tabata last updated on 01/Oct/21…
Question Number 89991 by jagoll last updated on 20/Apr/20 $$\mathrm{if}\:\mathrm{a},\mathrm{b}\:>\:\mathrm{0}\:\mathrm{and}\:\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }\:=\:\frac{\mathrm{5}}{\mathrm{3}} \\ $$$$\mathrm{find}\:\frac{\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} }{\mathrm{ab}} \\ $$ Commented by john santu last updated on…
Question Number 155527 by ZiYangLee last updated on 01/Oct/21 $$\mathrm{If}\:{f}\left(\mathrm{tan}^{\mathrm{2}} \:\frac{\theta}{\mathrm{2}}\right)=\:\frac{\mathrm{2}}{\mathrm{1}+\mathrm{cos}\:\theta}\:,\:\mathrm{find}\:{f}\left(\mathrm{sin}\:\frac{\theta}{\mathrm{2}}\right). \\ $$ Answered by Ar Brandon last updated on 01/Oct/21 $${f}\left(\mathrm{tan}^{\mathrm{2}} \frac{\vartheta}{\mathrm{2}}\right)=\frac{\mathrm{2}}{\mathrm{1}+\mathrm{cos}\vartheta} \\ $$$${f}\left(\frac{\mathrm{sin}^{\mathrm{2}}…