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 $$\mathrm{Twin}\:\mathrm{of}\:\mathrm{Q}#\mathrm{3943} \\ $$$$\mathrm{Three}\:\mathrm{circles}\:\mathrm{are}\:\mathrm{drawn}\:\mathrm{in}\:\mathrm{a}\:\mathrm{plane} \\ $$$$\mathrm{in}\:\mathrm{such}\:\mathrm{a}\:\mathrm{way}\:\mathrm{that}\:\mathrm{a}\:\mathrm{closed}\:\mathrm{region} \\ $$$$\mathrm{is}\:\mathrm{produced}\:\mathrm{which}\:\mathrm{is}\:\mathrm{not}\:\mathrm{included} \\ $$$$\mathrm{in}\:\mathrm{any}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circles}.\:\mathrm{Determine}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{this}\:\mathrm{region}. \\ $$$$\underset{−} {\mathrm{Circles}\:\mid\:\mathrm{Radii}\:\mid\:\mathrm{Centers}\:} \\…
Question Number 69570 by Ajao yinka last updated on 25/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69571 by Ajao yinka last updated on 25/Sep/19 Answered by MJS last updated on 25/Sep/19 $${m}^{\mathrm{6}} +\mathrm{375}{n}^{\mathrm{2}} {m}^{\mathrm{2}} +{n}^{\mathrm{6}} −\mathrm{1953125}=\mathrm{0} \\ $$$${m}=\sqrt{{t}} \\…
Question Number 69568 by Ajao yinka last updated on 25/Sep/19 Commented by mathmax by abdo last updated on 25/Sep/19 $$\:{if}\:{n}=\mathrm{1}\:\:\:\:\:\:{H}\:={C}\:\:\:\:\:{if}\:{n}\neq\mathrm{1}\:\:{we}\:{have}\:{z}={z}^{{n}} \:\Leftrightarrow\:{z}^{{n}−\mathrm{1}} =\mathrm{1}\:\:\:{let}\:{z}\:={r}\:{e}^{{i}\theta} \:\:{so} \\ $$$${z}^{{n}−\mathrm{1}}…
Question Number 4033 by Rasheed Soomro last updated on 27/Dec/15 $$\:\:\:\:\mathrm{One}\:\mathrm{circle}\:\mathrm{in}\:\mathrm{a}\:\mathrm{plane}\:\mathrm{can}\:\mathrm{produce}\:\mathrm{one}\:\:\mathrm{closed} \\ $$$$\mathrm{region}\:\mathrm{at}\:\mathrm{most}\left(\mathrm{It}\:\mathrm{produces}\:\mathrm{one}\:\mathrm{closed}\:\mathrm{region}\:\right. \\ $$$$\left.\mathrm{at}\:\mathrm{least}\right).\mathrm{Two}\:\:\mathrm{circles}\:\mathrm{in}\:\mathrm{a}\:\mathrm{plane}\:\:\mathrm{can}\:\mathrm{produce} \\ $$$$\mathrm{at}\:\mathrm{most}\:\mathrm{three}\:\:\mathrm{regions}\left(\mathrm{They}\:\mathrm{produce}\:\mathrm{at}\:\mathrm{least}\right. \\ $$$$\left.\mathrm{two}\:\:\mathrm{regions}\right).\mathrm{Three}\:\mathrm{circles}\:\mathrm{can}\:\mathrm{produce}\:\mathrm{seven} \\ $$$$\mathrm{closed}\:\mathrm{regions}\:\mathrm{at}\:\mathrm{most}\left(\mathrm{They}\:\mathrm{produce}\:\mathrm{three}\right. \\ $$$$\left.\mathrm{closed}\:\mathrm{regions}\:\mathrm{at}\:\mathrm{least}\right). \\ $$$$…
Question Number 69569 by Ajao yinka last updated on 25/Sep/19 Answered by naka3546 last updated on 25/Sep/19 Commented by Rasheed.Sindhi last updated on 26/Sep/19 $${I}\:{think}\:'{positive}\:{integer}'\:{applies}\:{to}…