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Question-63788

Question Number 63788 by rajesh4661kumar@gamil.com last updated on 09/Jul/19 Answered by mr W last updated on 09/Jul/19 $${a}+{b}=\mathrm{6}{k} \\ $$$${b}+{c}=\mathrm{7}{k} \\ $$$${c}+{a}=\mathrm{8}{k} \\ $$$$\mathrm{2}\left({a}+{b}+{c}\right)=\left(\mathrm{6}+\mathrm{7}+\mathrm{8}\right){k} \\…

In-a-competition-there-are-200-children-50-are-men-the-rest-are-women-If-the-probability-of-selecting-a-child-is-0-05-how-many-are-the-competitor-

Question Number 129323 by harckinwunmy last updated on 14/Jan/21 $${In}\:{a}\:{competition}\:{there}\:{are}\:\mathrm{200}\:{children},\:\mathrm{50}\:{are}\:{men} \\ $$$${the}\:{rest}\:{are}\:{women}.\:{If}\:{the}\:{probability}\:{of}\:{selecting}\:{a}\: \\ $$$${child}\:{is}\:\mathrm{0}.\mathrm{05},\:{how}\:{many}\:{are}\:{the}\:{competitor}? \\ $$ Answered by Ar Brandon last updated on 15/Jan/21 $$\frac{\mathrm{200}}{\mathrm{200}+\mathrm{50}+\mathrm{x}}=\mathrm{0}.\mathrm{05}=\frac{\mathrm{1}}{\mathrm{20}}…

Question-129320

Question Number 129320 by ajfour last updated on 14/Jan/21 Commented by gaferrafie last updated on 14/Jan/21 سلام چطور میشه تو خروجی آدرس سایت را حذف کرد Answered by ajfour last updated on 14/Jan/21 $${y}=\left({x}−{p}\right)\left({x}^{\mathrm{3}}…

Prove-that-if-f-is-such-as-f-x-f-x-x-1-x-f-x-and-f-1-0-but-f-Then-f-is-the-unique-bijection-from-R-to-R-and-lim-x-0-f-x-and-lim-x-0-xf-x-0-0-f-1-

Question Number 129319 by snipers237 last updated on 14/Jan/21 $${Prove}\:{that}\: \\ $$$$\:{if}\:{f}\:{is}\:{such}\:{as}\:{f}\:'\left({x}\right)=\frac{{f}\left({x}\right)}{{x}\left(\mathrm{1}−{x}−{f}\left({x}\right)\right)} \\ $$$${and}\:{f}\left(\mathrm{1}\right)=\mathrm{0}\:{but}\:{f}\:\ncong\Theta\:.\:{Then} \\ $$$$\:\bigstar\:{f}\:{is}\:{the}\:{unique}\:{bijection}\:{from}\:\mathbb{R}^{\ast} \:{to}\:\mathbb{R}\:{and}\: \\ $$$$\:\bigstar\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{f}\left({x}\right)=+\infty\:\:{and}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{xf}\left({x}\right)=\mathrm{0} \\ $$$$\:\bigstar\:\int_{\mathrm{0}} ^{+\infty} {f}^{−\mathrm{1}}…

let-f-a-dx-a-2-x-2-3-with-a-gt-0-1-calculate-f-a-2-calculste-also-g-a-dx-a-2-x-2-4-3-find-the-values-of-integrals-0-dx-x-2-1-3

Question Number 63782 by mathmax by abdo last updated on 09/Jul/19 $${let}\:{f}\left({a}\right)\:=\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({a}^{\mathrm{2}} +{x}^{\mathrm{2}} \right)^{\mathrm{3}} }\:\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right){calculste}\:{also}\:{g}\left({a}\right)\:=\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({a}^{\mathrm{2}} \:+{x}^{\mathrm{2}} \right)^{\mathrm{4}}…