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Question Number 211818 Answers: 0 Comments: 0
Question Number 211817 Answers: 1 Comments: 0
Question Number 211815 Answers: 1 Comments: 0
$${ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0}\:{has}\:{roots}\:\alpha\:{and}\:\beta \\ $$$${and}\:\frac{\alpha}{\beta}=\frac{\lambda}{\mu}.\:{show}\:{that}\:\lambda\mu{b}^{\mathrm{2}} \:=\:{ac}\left(\lambda+\mu\right)^{\mathrm{2}} \\ $$
Question Number 211837 Answers: 0 Comments: 0
Question Number 211791 Answers: 1 Comments: 0
$$\mathrm{can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{tell}\:\mathrm{me}\:\mathrm{the}\:\mathrm{difference}\:\mathrm{b}/\mathrm{w}\:\left(=\right)\:\mathrm{and}\:\left(::=\right) \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{searched}\:\mathrm{up}\:\mathrm{and}\:\mathrm{showed}\:\mathrm{it}\:\mathrm{was}\:\mathrm{related}\:\mathrm{to}\:\mathrm{assertion},\mathrm{definition},\mathrm{propert}\:\mathrm{def}....\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}.\:\mathrm{please}\:\mathrm{help} \\ $$
Question Number 211787 Answers: 0 Comments: 0
$$\mathrm{Compare}: \\ $$$$ \\ $$$$\mathrm{5}^{\mathrm{100}} \:,\:\mathrm{6}^{\mathrm{91}} \:,\:\mathrm{7}^{\mathrm{90}} \:,\:\mathrm{8}^{\mathrm{85}} \\ $$
Question Number 211788 Answers: 0 Comments: 0
Question Number 211793 Answers: 0 Comments: 0
Question Number 211796 Answers: 1 Comments: 0
Question Number 211795 Answers: 0 Comments: 0
Question Number 211800 Answers: 0 Comments: 0
$$ \\ $$$$\boldsymbol{{set}}\:\boldsymbol{\Omega}=\left\{\left(\boldsymbol{{x}},\boldsymbol{{y}},\boldsymbol{{z}}\right)\mid\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{y}}^{\mathrm{2}} +\boldsymbol{{z}}^{\mathrm{2}} \leq\mathrm{1}\right\}, \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{certificat}}\mathrm{e}: \\ $$$$\:\:\frac{\mathrm{4}\boldsymbol{\pi}}{\mathrm{3}}\sqrt[{\mathrm{3}}]{\mathrm{2}}\leq\int\underset{\boldsymbol{\Omega}} {\int}\int\sqrt[{\mathrm{3}}]{\boldsymbol{{x}}+\mathrm{2}\boldsymbol{{y}}−\mathrm{2}\boldsymbol{{z}}+\mathrm{5}}\boldsymbol{{dv}}\leq\frac{\mathrm{8}\boldsymbol{\pi}}{\mathrm{3}} \\ $$$$ \\ $$$$ \\ $$
Question Number 211798 Answers: 1 Comments: 0
Question Number 211797 Answers: 4 Comments: 0
Question Number 211778 Answers: 1 Comments: 1
$$\:\:\mathrm{Show}\:\mathrm{that}: \\ $$$$\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}} \:\boldsymbol{\mathrm{sin}}^{\mathrm{4}} \boldsymbol{\mathrm{x}}\:\mathrm{2}\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{dx}}\:=\:\frac{\mathrm{3}\pi\:−\mathrm{4}}{\mathrm{192}} \\ $$
Question Number 211761 Answers: 2 Comments: 0
$$\mathrm{If}\:{x}\:=\:\frac{\mathrm{4}{a}^{\mathrm{2}} {b}}{\mathrm{4}{b}^{\mathrm{2}} \:+\:\mathrm{1}}\:\mathrm{where}\:{b}\:>\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{then} \\ $$$$\frac{\sqrt{{a}^{\mathrm{2}} \:+\:{x}}\:+\:\sqrt{{a}^{\mathrm{2}} \:−\:{x}}}{\:\sqrt{{a}^{\mathrm{2}} \:+\:{x}}\:−\:\sqrt{{a}^{\mathrm{2}} \:−\:{x}}}\:=\:? \\ $$
Question Number 211759 Answers: 4 Comments: 1
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\mathrm{sin}\:{x}} −{e}^{{x}} }{\mathrm{sin}\:{x}−{x}}=? \\ $$
Question Number 211753 Answers: 1 Comments: 0
$${find}\:{all}\:\left({n},{m}\right)\:{such}\:{that}\:\frac{{n}^{\mathrm{2}} −{m}}{{m}^{\mathrm{2}} −{n}}\:\in\:\mathbb{Z} \\ $$
Question Number 211750 Answers: 1 Comments: 0
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{a}^{\mathrm{1}/{x}} +{b}^{\mathrm{1}/{x}} }{\mathrm{2}}\right)^{{x}} ;\left({a},{b}\right)\in\mathbb{R}_{+} ^{\ast} \\ $$
Question Number 211749 Answers: 3 Comments: 0
$${volume}\:{bounded}\:{by}\:{the}\:{curve} \\ $$$$\:{z}\:=\:\sqrt{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{y}^{\mathrm{2}} }\:\:\:{and}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\:\mathrm{6}^{\mathrm{2}} \\ $$
Question Number 211745 Answers: 1 Comments: 1
$$\underset{{x}\rightarrow\mathrm{5}} {\mathrm{lim}}\left(\mathrm{10}^{\mathrm{2}} +\mathrm{5}{x}−\mathrm{20}\right) \\ $$
Question Number 211738 Answers: 0 Comments: 1
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{\mathrm{1}}{\boldsymbol{{x}}^{\mathrm{5}} +\mathrm{1}\:}\boldsymbol{{dx}}. \\ $$$$ \\ $$
Question Number 211734 Answers: 1 Comments: 0
Question Number 211732 Answers: 2 Comments: 0
Question Number 211730 Answers: 0 Comments: 0
Question Number 211727 Answers: 0 Comments: 0
Question Number 211726 Answers: 0 Comments: 0
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