Question Number 166006 by tabata last updated on 11/Feb/22 $${chek}\:{the}\:{series}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:{cos}\left({n}\right)\:{sin}^{\mathrm{2}} \left(\frac{\mathrm{1}}{{n}}\right)\:{is}\:{converge}\:{or}\:{diverge}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 100465 by mathocean1 last updated on 26/Jun/20 $${There}\:{are}\:{two}\:{numbers}\:{n}_{\mathrm{1}\:} {and}\:{n}_{\mathrm{2}\:\:\:\:\:\:} . \\ $$$${they}\:{are}\:{composed}\:{by}\:{three}\:{digits}. \\ $$$${the}\:{sum}\:{of}\:\mathrm{3}\:{digits}\:{that}\:{compose}\:{n}_{\mathrm{1}} \\ $$$$\:{is}\:\:\mathrm{15}.\:{the}\:{first}\:{digit}\:{of}\:{n}_{\mathrm{2}\:} {is}\:{the}\: \\ $$$${second}\:{digit}\:{of}\:{n}_{\mathrm{1}} \:{and}\:{the}\:{first}\: \\ $$$${digit}\:{of}\:{n}_{\mathrm{1}} \:{is}\:{also}\:{the}\:{second}\:{digit}\:{of}…
Question Number 165984 by nurtani last updated on 10/Feb/22 Commented by cortano1 last updated on 10/Feb/22 $$\mathrm{2024} \\ $$ Answered by Rasheed.Sindhi last updated on…
Question Number 100409 by Algoritm last updated on 26/Jun/20 Commented by bramlex last updated on 26/Jun/20 $$\frac{\frac{\mathrm{3}}{\mathrm{2}}×\mathrm{4}^{{x}} }{\mathrm{4}^{{x}} −\mathrm{9}^{{x}} }\:>\:\mathrm{3}+\:\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} \\ $$$$\frac{\mathrm{3}.\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} }{\mathrm{2}\left\{\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} −\mathrm{1}\right\}}\:>\:\mathrm{3}+\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} \\…
Question Number 165942 by Bagus1003 last updated on 10/Feb/22 Commented by naka3546 last updated on 10/Feb/22 $$\mathrm{Properties}\:\:\mathrm{of}\:\:\mathrm{a}\:\mathrm{triangle} \\ $$$${a}\:+\:{b}\:>\:{c} \\ $$$${a}\:+\:{c}\:>\:{b} \\ $$$${b}\:+\:{c}\:>\:{a} \\ $$$$…
Question Number 34850 by mondodotto@gmail.com last updated on 11/May/18 Answered by MJS last updated on 11/May/18 $${A}…….\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{tank}/\mathrm{min}. \\ $$$${B}…….\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{tank}/\mathrm{min}. \\ $$$$\left(\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}\right)×{t}_{\mathrm{1}} \:\mathrm{min}.=\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{tank} \\ $$$$\frac{\mathrm{7}}{\mathrm{12}}{t}_{\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{2}}…
Question Number 100369 by Fikret last updated on 26/Jun/20 $${a}\epsilon\mathbb{Z}\:\:\:\mathrm{0}<{b}<\mathrm{1}\:\:\:\: \\ $$$${a}+{b}=\sqrt{\mathrm{20}} \\ $$$${b}^{\mathrm{2}} +\mathrm{4}{b}+\mathrm{8}\sqrt{\mathrm{5}}=? \\ $$ Answered by MJS last updated on 26/Jun/20 $$\sqrt{\mathrm{20}}\approx\mathrm{4}.\mathrm{47}…
Question Number 165881 by bounhome last updated on 09/Feb/22 $$\begin{cases}{\sqrt{\frac{{x}}{{y}}}−\sqrt{\frac{{y}}{{x}}}=\frac{\mathrm{3}}{\mathrm{2}}}\\{{x}+{y}+{xy}=\mathrm{9}}\end{cases} \\ $$ Answered by Rasheed.Sindhi last updated on 09/Feb/22 $$\begin{cases}{\sqrt{\frac{{x}}{{y}}}−\sqrt{\frac{{y}}{{x}}}=\frac{\mathrm{3}}{\mathrm{2}}}\\{{x}+{y}+{xy}=\mathrm{9}}\end{cases} \\ $$$$\sqrt{\frac{{x}}{{y}}}\:={a}: \\ $$$${a}−\frac{\mathrm{1}}{{a}}=\frac{\mathrm{3}}{\mathrm{2}} \\…
Question Number 165876 by bounhome last updated on 09/Feb/22 $${solve}: \\ $$$$\:\:{sin}^{\mathrm{2}} {x}+{sin}^{\mathrm{2}} {y}+\mathrm{1}={sinx}+{siny}+{sinxsiny} \\ $$ Commented by MJS_new last updated on 10/Feb/22 $${u}=\mathrm{sin}\:{x}\:\wedge{v}=\mathrm{sin}\:{y} \\…
Question Number 100339 by bobhans last updated on 26/Jun/20 $$\mathrm{Suppose}\:\mathrm{1}\:,\mathrm{2}\:,\mathrm{4}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$${x}^{\mathrm{4}} \:+{ax}^{\mathrm{2}} +{bx}−{c}\:=\:\mathrm{0}\:.\:{W}\mathrm{hat}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$${c}\:?\: \\ $$ Answered by bemath last updated on 26/Jun/20…