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Author: Tinku Tara

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Question Number 60000 by malwaan last updated on 16/May/19 $${A}\:{cord}\:{is}\:{drawn}\:{at}\:{random} \\ $$$${in}\:{a}\:{given}\:{circle}\:. \\ $$$${Whats}\:{the}\:{probability}\:\boldsymbol{{p}}\:{that} \\ $$$${the}\:{cord}\:{is}\:{longer}\:{than}\:{the}\:{side} \\ $$$${of}\:{an}\:{inscribed}\:{equilateral}\: \\ $$$${triangle}\:{in}\:{the}\:{circle}? \\ $$ Commented by mr…

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let-U-n-0-e-n-x-2-x-2-3-2-dx-1-find-U-n-interms-of-n-2-calvulate-lim-n-U-n-3-study-the-serie-U-n-

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Question Number 59999 by Mr X pcx last updated on 16/May/19 $${let}\:{U}_{{n}} \:\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−{n}\left[{x}^{\mathrm{2}} \right]} }{\left({x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{calvulate}\:\:{lim}_{{n}\rightarrow+\infty} \:\:\:{U}_{{n}}…

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Question Number 59997 by aliesam last updated on 16/May/19 $${find}\:\left({a},{b},{c}\right)\:{in}\:{R}\: \\ $$$${cos}\left({a}\right)+{cos}\left({b}\right)+{cos}\left({c}\right)=\mathrm{0} \\ $$$${sin}\left({a}\right)+{sin}\left({b}\right)+{sin}\left({c}\right)=\mathrm{0} \\ $$ Answered by MJS last updated on 17/May/19 $$\mathrm{we}\:\mathrm{have}\:\mathrm{only}\:\mathrm{2}\:\mathrm{equations}\:\mathrm{in}\:\mathrm{3}\:\mathrm{variables}\:\Rightarrow \\…

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