Question Number 4040 by Filup last updated on 27/Dec/15 $${f}\left({x}\right)={x}^{\mathrm{sin}^{{x}} \left({x}\right)} \\ $$$${g}\left({x}\right)={x} \\ $$$$ \\ $$$$\mathrm{Why}\:\mathrm{is}\:{f}\:'\left({x}\right)=\mathrm{0}\:\mathrm{on}\:{g}\left({x}\right)? \\ $$$$ \\ $$$${Are}\:\boldsymbol{{all}}\:{extrema}\:\left(\mathrm{min},\:\mathrm{max},\:\mathrm{inflection}\right) \\ $$$$\mathrm{of}\:{f}\left({x}\right)\:\mathrm{on}\:{g}\left({x}\right)? \\ $$…
Question Number 69574 by Ajao yinka last updated on 25/Sep/19 Answered by MJS last updated on 25/Sep/19 $$\mathrm{36}_{\mathrm{7}} =\mathrm{27}_{\mathrm{10}} \\ $$$$\mathrm{27}_{\mathrm{10}} !=\mathrm{10}\:\mathrm{888}\:\mathrm{869}\:\mathrm{450}\:\mathrm{418}\:\mathrm{352}\:\mathrm{160}\:\mathrm{768}\:\mathrm{000}\:\mathrm{000}_{\mathrm{10}} = \\ $$$$\mathrm{36}_{\mathrm{7}}…
Question Number 135108 by bramlexs22 last updated on 10/Mar/21 $$\left(\sqrt{\frac{\mathrm{x}−\mathrm{1}}{\mathrm{x}}}\:\right)^{\mathrm{x}^{\mathrm{2}} } \:=\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)^{\mathrm{x}+\mathrm{1}} \\ $$ Answered by MJS_new last updated on 10/Mar/21 $${x}^{\mathrm{2}} ={x}+\mathrm{1}\:\Leftrightarrow\:\frac{{x}−\mathrm{1}}{{x}}=\frac{\mathrm{1}}{{x}^{\mathrm{2}} } \\…
Question Number 135111 by faysal last updated on 10/Mar/21 Answered by Ñï= last updated on 10/Mar/21 $$\mathrm{2cos}\:\theta=\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{3}}}} \\ $$$$\mathrm{4cos}\:^{\mathrm{2}} \theta=\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{3}}} \\ $$$$\mathrm{2}\left(\mathrm{2cos}\:^{\mathrm{2}} \theta−\mathrm{1}\right)=\mathrm{2cos}\:\mathrm{2}\theta=\sqrt{\mathrm{2}+\sqrt{\mathrm{3}}} \\ $$$$\mathrm{4cos}\:^{\mathrm{2}}…
Question Number 69572 by Ajao yinka last updated on 25/Sep/19 Answered by mind is power last updated on 25/Sep/19 $${Let}\:{S}_{\mathrm{0}} =\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\left(_{\mathrm{5}{k}} ^{\mathrm{5}{n}} \right)\:\:\:,{S}_{\mathrm{1}}…
Question Number 4037 by Filup last updated on 27/Dec/15 $$\exists{x}\in\mathbb{Z}\exists{n}\in\mathbb{R}:{n}^{{x}} =\mathrm{2}{n} \\ $$$$\mathrm{Does}\:{x}\:{exist}? \\ $$ Commented by Filup last updated on 27/Dec/15 $${n}={x}=\mathrm{2} \\ $$$$\Rightarrow\mathrm{2}^{\mathrm{2}}…
Question Number 135110 by faysal last updated on 10/Mar/21 Commented by Ñï= last updated on 10/Mar/21 $${I}\:{try}\:\mathrm{2}{csc}\:\mathrm{2}\theta=\mathrm{tan}\:\theta+\mathrm{cot}\:\theta.{It}'{s}\:{too}\:{complicate}. \\ $$$${Maybe}\:{there}\:{have}\:{easy}\:{way}. \\ $$ Terms of Service Privacy…
Question Number 69573 by Ajao yinka last updated on 25/Sep/19 Commented by mind is power last updated on 25/Sep/19 $${i}\:{will}\:{try}\:{later}\:{now}\:{nothing}\:{goes}\:{wellfor}\:{this}\:{one} \\ $$ Terms of Service…
Question Number 4036 by Rasheed Soomro last updated on 27/Dec/15 $$\mathrm{Twin}\:\mathrm{of}\:\mathrm{Q}#\mathrm{3943} \\ $$$$\mathrm{Three}\:\mathrm{circles}\:\mathrm{are}\:\mathrm{drawn}\:\mathrm{in}\:\mathrm{a}\:\mathrm{plane} \\ $$$$\mathrm{in}\:\mathrm{such}\:\mathrm{a}\:\mathrm{way}\:\mathrm{that}\:\mathrm{a}\:\mathrm{closed}\:\mathrm{region} \\ $$$$\mathrm{is}\:\mathrm{produced}\:\mathrm{which}\:\mathrm{is}\:\mathrm{not}\:\mathrm{included} \\ $$$$\mathrm{in}\:\mathrm{any}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circles}.\:\mathrm{Determine}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{this}\:\mathrm{region}. \\ $$$$\underset{−} {\mathrm{Circles}\:\mid\:\mathrm{Radii}\:\mid\:\mathrm{Centers}\:} \\…
Question Number 69570 by Ajao yinka last updated on 25/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com