Question Number 95919 by Abdulrahman last updated on 28/May/20 $$ \\ $$$$\int\mathrm{3}^{−\mathrm{4x}^{\mathrm{2}} } \mathrm{dx}=?\:\:\:\:\left(\mathrm{0},\infty\right) \\ $$ Answered by mathmax by abdo last updated on 28/May/20…
Question Number 95920 by bobhans last updated on 28/May/20 $$\sqrt[{\mathrm{3}\:\:}]{\mathrm{54}+\sqrt{\mathrm{x}}}\:+\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{54}−\sqrt{\mathrm{x}}}\:=\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{18}}\: \\ $$$$\mathrm{x}\:=\:?\: \\ $$ Answered by i jagooll last updated on 28/May/20 $$\mathrm{let}\:\mathrm{a}\:=\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{54}+\sqrt{\mathrm{x}}}\:,\:\mathrm{b}\:=\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{54}−\sqrt{\mathrm{x}}}\: \\ $$$$\mathrm{a}+\mathrm{b}\:=\:\frac{\mathrm{a}^{\mathrm{3}}…
Question Number 95898 by rb222 last updated on 28/May/20 $${x}^{\mathrm{2}} +{xy}+\frac{{y}^{\mathrm{3}} }{\mathrm{3}}=\mathrm{25} \\ $$$$\frac{{y}^{\mathrm{2}} }{\mathrm{3}}+{z}^{\mathrm{2}} =\mathrm{9} \\ $$$${z}^{\mathrm{2}} +{zx}+{x}^{\mathrm{2}} =\mathrm{16} \\ $$$${so}\:{xy}+\mathrm{2}{yz}+\mathrm{3}{zx}=? \\ $$ Terms…
Question Number 161433 by HongKing last updated on 17/Dec/21 $$\mathrm{if}\:\:\mathrm{x};\mathrm{y};\mathrm{z}>\mathrm{0}\:\:\mathrm{such}\:\mathrm{that}\:\:\mathrm{x}+\mathrm{y}+\mathrm{z}=\mathrm{3} \\ $$$$\mathrm{and}\:\:\boldsymbol{\lambda}\geqslant\mathrm{0}\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\frac{\mathrm{x}}{\mathrm{y}^{\mathrm{3}} +\lambda\mathrm{y}^{\mathrm{2}} }\:+\:\frac{\mathrm{y}}{\mathrm{z}^{\mathrm{3}} +\lambda\mathrm{z}^{\mathrm{2}} }\:+\:\frac{\mathrm{z}}{\mathrm{x}^{\mathrm{3}} +\lambda\mathrm{x}^{\mathrm{2}} }\:\geqslant\:\frac{\mathrm{3}}{\lambda+\mathrm{1}} \\ $$ Terms of Service…
Question Number 161418 by geron last updated on 17/Dec/21 $$\mathrm{4}^{\mathrm{2021}\:} ={a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} ,\:\left({a}:{b}:{c}\right)\Rightarrow\:{natural}\:{numbers} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 161408 by mathlove last updated on 17/Dec/21 Commented by som(math1967) last updated on 17/Dec/21 $$\mathrm{9} \\ $$ Answered by behi834171 last updated on…
Question Number 95843 by john santu last updated on 28/May/20 $$\frac{\left(\sqrt{\mathrm{3x}−\mathrm{7}}\right)^{\mathrm{2}} −\mathrm{2}}{\mathrm{x}−\mathrm{3}}\:\leqslant\:\frac{\mathrm{3}−\left(\sqrt{\mathrm{x}}\right)^{\mathrm{2}} }{\mathrm{x}−\mathrm{3}}\: \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$ Answered by john santu last updated on 28/May/20…
Question Number 161371 by Riteshllb last updated on 17/Dec/21 $$\:\mathrm{1}.{The}\:{Trapejoidal}\:{Rule} \\ $$$$\int_{{x}_{{o}} } ^{{x}_{{o}} +{nh}} {ydx}=\frac{{h}}{\mathrm{2}}\left[\left({y}_{{o}} +{y}_{{n}} \right)+\mathrm{2}\left({y}_{\mathrm{1}} +{y}_{\mathrm{2}} +{y}_{\mathrm{3}} ….\right]\right. \\ $$ Terms of…
Question Number 161366 by mr W last updated on 17/Dec/21 $$\left[{similar}\:{question}\:{reposted}\right] \\ $$$${if}\:{a}+\frac{\mathrm{3}}{{b}}={b}+\frac{\mathrm{3}}{{c}}={c}+\frac{\mathrm{3}}{{a}}\:{with}\:{a}\neq{b}\neq{c} \\ $$$${and}\:{a},{b},{c}\:\in\:\mathbb{R}.\:{find}\:\left({abc}\right)^{\mathrm{2}} =? \\ $$ Answered by 1549442205PVT last updated on 18/Dec/21…