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Question Number 110109 by aurpeyz last updated on 27/Aug/20 Answered by $@y@m last updated on 27/Aug/20 Commented by Rio Michael last updated on 27/Aug/20 $$\left(\mathrm{3}{x}\right)^{−\mathrm{2}}…
Question Number 110096 by mathdave last updated on 27/Aug/20 $${find}\:{the}\:{following}\:{product}\:{integral} \\ $$$$\:\:\:\:\:\:\:\:\left(\mathrm{1}\right)\:\:\:\:\int\left({x}\right)^{{dx}} \\ $$$$\:\:\:\:\:\:\:\:\:\left(\mathrm{2}\right)\:\:\:\:\int\left({e}^{{x}} \right)^{{dx}} \\ $$ Commented by Her_Majesty last updated on 27/Aug/20 $${if}\:{you}\:{use}\:{the}\:{same}\:{definition}\:{of}\:{product}…
Question Number 110092 by bemath last updated on 27/Aug/20 Answered by 1549442205PVT last updated on 27/Aug/20 $$\left.\mathrm{30}\right)\mathrm{Since}\:\mathrm{AK}=\mathrm{KL}=\mathrm{LB}=\mathrm{m}\left(\mathrm{1}\right),\mathrm{BA}=\mathrm{BC}=\mathrm{a} \\ $$$$\left(\mathrm{hypothesis}\right)\Rightarrow\mathrm{LC}=\mathrm{BC}−\mathrm{LB}=\mathrm{a}−\mathrm{m}\left(\mathrm{2}\right) \\ $$$$\mathrm{but} \\ $$$$\mathrm{a}−\mathrm{m}=\mathrm{AB}−\mathrm{AK}=\mathrm{KB}=\mathrm{AC}\left(\mathrm{3}\right)\left(\mathrm{hypothesis}\right)? \\ $$$$\mathrm{From}\left(\mathrm{2}\right)\left(\mathrm{3}\right)\mathrm{we}\:\mathrm{infer}\:\mathrm{LC}=\mathrm{KB}=\mathrm{AC}\left(\mathrm{4}\right)…
Question Number 175618 by daus last updated on 04/Sep/22 Commented by mr W last updated on 04/Sep/22 $${x}\geqslant\mathrm{0} \\ $$ Commented by mr W last…
Question Number 110056 by mathdave last updated on 27/Aug/20 $${prove}\:{that}\: \\ $$$$\int_{−\infty} ^{+\infty} \frac{\mathrm{cos}^{\mathrm{4}} {x}−\mathrm{6sin}^{\mathrm{2}} {x}\mathrm{cos}^{\mathrm{2}} {x}+\mathrm{sin}^{\mathrm{4}} {x}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}=\frac{\pi}{{e}^{\mathrm{4}} } \\ $$ Answered by mathmax…
Question Number 110050 by mathdave last updated on 26/Aug/20 Answered by Aziztisffola last updated on 27/Aug/20 $$\mathrm{9}^{\mathrm{x}} +\mathrm{6}^{\mathrm{x}} =\mathrm{4}^{\mathrm{x}} \Rightarrow\left(\frac{\mathrm{9}}{\mathrm{4}}\right)^{\mathrm{x}} +\left(\frac{\mathrm{6}}{\mathrm{4}}\right)^{\mathrm{x}} =\mathrm{1} \\ $$$$\left(\left(\frac{\mathrm{3}}{\mathrm{2}}\right)^{\mathrm{2}} \right)^{\mathrm{x}}…
Question Number 110049 by mathdave last updated on 26/Aug/20 Answered by floor(10²Eta[1]) last updated on 27/Aug/20 $$\mathrm{0}.\mathrm{04}=\frac{\mathrm{4}}{\mathrm{100}}=\frac{\mathrm{1}}{\mathrm{25}}=\mathrm{5}^{−\mathrm{2}} \therefore\mathrm{0}.\mathrm{04}^{−\mathrm{28}} =\mathrm{5}^{\mathrm{56}} \\ $$$$\Rightarrow\mathrm{2}+\mathrm{4}+…+\mathrm{2x}=\mathrm{56} \\ $$$$\left(\mathrm{2},\:\mathrm{4},\:\mathrm{6},\:…,\:\mathrm{2x}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{of}\:\mathrm{ratio}=\mathrm{2} \\ $$$$\mathrm{S}=\frac{\left(\mathrm{2}+\mathrm{2x}\right).\mathrm{x}}{\mathrm{2}}=\mathrm{x}^{\mathrm{2}}…
Question Number 110045 by PNL last updated on 26/Aug/20 $$\left.{let}\:{x}\:\in\:\right]\mathrm{0},\mathrm{1}\left[\:\:\right. \\ $$$${find}\:{E}\left({x}^{{x}} \right)\:{and}\:{E}\left({x}^{{x}^{{x}} } \right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 44491 by mondodotto@gmail.com last updated on 30/Sep/18 $$\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{interior}}\:\boldsymbol{\mathrm{angles}} \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{any}}\:\boldsymbol{\mathrm{triangle}}\:\boldsymbol{\mathrm{is}}\:\mathrm{180}. \\ $$ Answered by $@ty@m last updated on 30/Sep/18 Commented by $@ty@m last…