Question Number 146621 by 777316 last updated on 14/Jul/21 $$\int_{\mathrm{0}} ^{\:\infty} \:\frac{{xsin}\left(\mathrm{4}{x}\right)}{\mathrm{9}\:+\:\mathrm{4}{x}^{\mathrm{2}} }{dx}\:=\: \\ $$ Answered by mathmax by abdo last updated on 14/Jul/21 $$\Psi=\int_{\mathrm{0}}…
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Question Number 15485 by tawa tawa last updated on 11/Jun/17 Answered by mrW1 last updated on 11/Jun/17 $$\mathrm{Fcos}\:\alpha\geqslant\mu\left(\mathrm{mg}−\mathrm{Fsin}\:\alpha\right) \\ $$$$\mathrm{F}\left(\mathrm{cos}\:\alpha+\mu\mathrm{sin}\:\alpha\right)\geqslant\mu\mathrm{mg} \\ $$$$\mathrm{F}\geqslant\frac{\mu}{\mathrm{cos}\:\alpha+\mu\mathrm{sin}\:\alpha}\mathrm{mg} \\ $$$$\left.\mathrm{a}\right)\:\alpha=\mathrm{0} \\…
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Question Number 80997 by 67549972 last updated on 08/Feb/20 $${give}\:{a}\:{rational}\:{fraction}\:{example}\:: \\ $$$${cancelling}\:{in}\:-\mathrm{1}\:{and}\:\mathrm{2}\:{having}\:{as}\:{a}\:{set}\:{defnition}\:\mathbb{R} \\ $$ Commented by mr W last updated on 08/Feb/20 $${please}\:{use}\:{a}\:{smaller}\:{font}\:{sir}!\:{your} \\ $$$${posts}\:{are}\:{terrible}\:{to}\:{read}!…
Question Number 80994 by 67549972 last updated on 08/Feb/20 $$\mathrm{donnre}\:\mathrm{un}\:\mathrm{exenple}\:\mathrm{de}\:\mathrm{fraction}\:\mathrm{rationnelle}: \\ $$$$\left.\mathrm{1}\right)\mathrm{s}'\mathrm{annulant}\:\mathrm{en}\:-\mathrm{1}\:\mathrm{et}\:\mathrm{2}\:\mathrm{ayant}\:\mathrm{pour}\:\mathrm{ensemble}\:\mathrm{definition}\:\mathbb{R} \\ $$ Commented by malwaan last updated on 08/Feb/20 $$\boldsymbol{\mathrm{Traduire}}\:\boldsymbol{\mathrm{au}}\:\boldsymbol{\mathrm{anglais}}\:;\:\mathrm{S}'\boldsymbol{\mathrm{il}}\:\boldsymbol{\mathrm{vous}}\:\boldsymbol{\mathrm{pla}}\hat {\boldsymbol{\mathrm{i}t}} \\ $$…
Question Number 80973 by Rio Michael last updated on 08/Feb/20 $$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:\begin{cases}{\mathrm{2}{x}−\mathrm{7},\:\:\mathrm{0}\:<\:{x}\:<\:\mathrm{6}}\\{\mathrm{2}^{{x}} ,\:\:\:\mathrm{7}\:<\:{x}\:<\:\mathrm{8}}\end{cases} \\ $$$$\mathrm{and}\:\mathrm{f}\:\mathrm{is}\:\mathrm{periodic}\:\mathrm{of}\:\mathrm{period}\:\mathrm{4}. \\ $$$$\mathrm{find}\:{f}\left(\mathrm{200}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 80974 by Rio Michael last updated on 08/Feb/20 $$\:\mathrm{Show}\:\mathrm{that}\:\mathrm{gcd}\:\left({a}\:,\:{a}\:+\:{x}\right)\:\mid\:{x} \\ $$$${hence}\:{show}\:{that}\:{any}\:{two}\:{consecutive} \\ $$$${integers}\:{are}\:{coprime} \\ $$ Commented by kaivan.ahmadi last updated on 09/Feb/20 $${if}\:{gcd}\left({a},{a}+{x}\right)={d}\Rightarrow{d}\mid{a}\Rightarrow{a}={dy}…