Question Number 205360 by Davidtim last updated on 18/Mar/24 Answered by A5T last updated on 18/Mar/24 Commented by A5T last updated on 19/Mar/24 $${FE}={EG};{EB}=\sqrt{\mathrm{4}^{\mathrm{2}} +\left(\mathrm{3}−{FE}\right)^{\mathrm{2}}…
Question Number 205323 by liuxinnan last updated on 16/Mar/24 $${If}\:\:\:\:{log}_{\sqrt{\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }{\mathrm{2}}}} \frac{{a}+{b}}{{b}}\geqslant{log}_{\sqrt{{ab}}} \frac{\mathrm{2}}{\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}} \\ $$$${when}\:{a}>\mathrm{1}\:{b}>\mathrm{1} \\ $$ Commented by liuxinnan last updated on 17/Mar/24…
Question Number 205332 by SANOGO last updated on 16/Mar/24 $${determin} \\ $$$$\left.{a}\right)\:\underset{{n}\epsilon{N}^{\ast} } {{U}}\left(\mathrm{1},\frac{\mathrm{1}}{{n}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 205172 by shunmisaki007 last updated on 12/Mar/24 $${x}\left({t}\right)={c}+{tx}'\left({t}\right)\:\mid\:{c}\:\mathrm{is}\:\mathrm{constant}. \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Find}\:{x}\left({t}\right). \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Find}\:{x}\left({t}\right)\:\mathrm{when}\:{x}\left(\mathrm{0}\right)={x}_{\mathrm{0}} . \\ $$ Commented by lepuissantcedricjunior last updated on 12/Mar/24 $$\boldsymbol{{x}}\left(\boldsymbol{{t}}\right)=\boldsymbol{{c}}+\boldsymbol{{tx}}'\left(\boldsymbol{{t}}\right)\:\boldsymbol{{c}}\in\mathbb{R}…
Question Number 205141 by Tinku Tara last updated on 10/Mar/24 $$\mathrm{Server}\:\mathrm{is}\:\mathrm{back}\:\mathrm{up}\:\mathrm{and}\:\mathrm{running}. \\ $$$$\mathrm{Post}\:\mathrm{a}\:\mathrm{message}\:\mathrm{if}\:\mathrm{you}\:\mathrm{face}\:\mathrm{any}\:\mathrm{issues}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205138 by Thokna last updated on 10/Mar/24 $${A}=\underset{{x}\rightarrow\mathrm{0}\:\:} {\mathrm{lim}}\frac{\mathrm{1}−\mathrm{cos2}{x}}{\mathrm{2}{x}^{\mathrm{2}} } \\ $$$$\:\:\:\:=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2sin}^{\mathrm{2}} {x}}{\mathrm{2}{x}^{\mathrm{2}} } \\ $$$$\:\:\:\:=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{sin}{x}}{{x}}\right)^{\mathrm{2}} =\mathrm{1} \\ $$$${B}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}}{{x}\mathrm{cot}{x}} \\…
Question Number 205054 by SANOGO last updated on 06/Mar/24 $${prove} \\ $$$$\left({lim}\:{sup}\left({A}_{{n}} \right)\right)^{{c}} =\:{lim}\:{inf}\left({A}_{{n}} ^{{c}} \right) \\ $$ Commented by aleks041103 last updated on 11/Mar/24…
Question Number 205055 by SANOGO last updated on 06/Mar/24 $$\left({lim}\:{inf}\left({A}_{{n}} \right)\right)^{{c}} \:={limsup}\left({A}_{{n}} ^{{c}} \right)\:\:\:\:\:{prove} \\ $$ Answered by pi314 last updated on 09/Mar/24 $${What}\:{de}\:{you}\:{mean}\:{Withe}\:{A}_{{n}} \\…
Question Number 205001 by rajusasmal last updated on 05/Mar/24 Answered by TonyCWX08 last updated on 05/Mar/24 $$\mathrm{44}.\: \\ $$$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} \\ $$$$=\left({asec}\left(\theta\right)+{btan}\left(\theta\right)\right)^{\mathrm{2}} −\left({atan}\left(\theta\right)+{bsec}\left(\theta\right)\right)^{\mathrm{2}} \\ $$$$={a}^{\mathrm{2}}…