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Category: Algebra

14-1-x-ln-x-3-d-x-

Question Number 203061 by York12 last updated on 08/Jan/24 $$\mathrm{14}\int\frac{\mathrm{1}}{\mathrm{x}\left[\mathrm{ln}\left(\mathrm{x}\right)\right]^{\mathrm{3}} \:}\:\:\mathrm{d}\left(\mathrm{x}\right) \\ $$ Answered by MM42 last updated on 09/Jan/24 $${ans} \\ $$$$\:\frac{−\mathrm{7}}{\left({lnx}\right)^{\mathrm{2}} } \\…

e-2-Proof-Let-x-e-2-2-2x-e-2-2x-e-2-e-2-e-2-2ex-4x-e-2-4-4x-4-2ex-e-2-x-2-4x-4-x-2-2ex-e-2-x-2-2-x-e-2-x-2-2-x-e-2-x-2-x-e-2-e-e-2-

Question Number 203035 by Frix last updated on 07/Jan/24 $$\mathrm{e}=\mathrm{2} \\ $$$$\mathrm{Proof}: \\ $$$$\mathrm{Let}\:{x}=\frac{\mathrm{e}+\mathrm{2}}{\mathrm{2}} \\ $$$$\mathrm{2}{x}=\mathrm{e}+\mathrm{2} \\ $$$$\mathrm{2}{x}\left(\mathrm{e}−\mathrm{2}\right)=\left(\mathrm{e}+\mathrm{2}\right)\left(\mathrm{e}−\mathrm{2}\right) \\ $$$$\mathrm{2e}{x}−\mathrm{4}{x}=\mathrm{e}^{\mathrm{2}} −\mathrm{4} \\ $$$$−\mathrm{4}{x}+\mathrm{4}=−\mathrm{2e}{x}+\mathrm{e}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}}…

Let-A-x-x-2-4x-3-lt-0-x-R-B-x-2-1-x-a-0-x-2-2-a-7-x-5-0-x-R-If-A-B-Find-the-range-of-real-number-a-

Question Number 202759 by LimPorly last updated on 02/Jan/24 $${Let}\:{A}=\left\{{x}\mid{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{3}<\mathrm{0},{x}\in{R}\right\},{B}=\left\{{x}\mid\mathrm{2}^{\mathrm{1}−{x}} +{a}\leqslant\mathrm{0},{x}^{\mathrm{2}} −\mathrm{2}\left({a}+\mathrm{7}\right){x}+\mathrm{5}\leqslant\mathrm{0},{x}\in{R}\right\} \\ $$$${If}\:{A}\subseteq{B}\:{Find}\:{the}\:{range}\:{of}\:{real}\:{number}\:{a} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com