Question Number 155977 by MathSh last updated on 06/Oct/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155979 by mnjuly1970 last updated on 06/Oct/21 $$ \\ $$$${prove}\:{that}: \\ $$$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\sqrt{{x}}\:+\sqrt{{y}}}{\left(\mathrm{1}−{xy}\right)\sqrt[{\mathrm{4}}]{{xy}}}\:{dxdy}=\mathrm{4}\:\left(\mathrm{4}\:−\pi\right) \\ $$$$ \\ $$ Terms of Service…
Question Number 155978 by mnjuly1970 last updated on 06/Oct/21 Commented by mr W last updated on 06/Oct/21 $${i}\:{think}\:{for}\:{any}\:{a}\:{the}\:{eqn}.\:{has}\:{always} \\ $$$${solution}. \\ $$ Commented by mr…
Question Number 155969 by mathlove last updated on 06/Oct/21 Answered by MJS_new last updated on 06/Oct/21 $${a}=\sqrt[{\mathrm{2014}}]{\mathrm{2}^{\mathrm{0}} }+\sqrt[{\mathrm{2014}}]{\mathrm{2}^{\mathrm{1}} }+…+\sqrt[{\mathrm{2014}}]{\mathrm{2}^{\mathrm{2013}} }= \\ $$$$=\underset{{n}=\mathrm{0}} {\overset{\mathrm{2013}} {\sum}}\mathrm{2}^{\frac{{n}}{\mathrm{2014}}} \\…
Question Number 155945 by mr W last updated on 06/Oct/21 Commented by mr W last updated on 06/Oct/21 $${a}\:{case}\:{with}\:{three}\:{real}\:{roots} \\ $$ Answered by mr W…
Question Number 155951 by mnjuly1970 last updated on 06/Oct/21 $$ \\ $$$$\:\:\:\:\:\:\:{solve}\:\:: \\ $$$$ \\ $$$$\:\:\:\:\:\lfloor\:\frac{\mathrm{1}}{{x}}\:\rfloor\:+\:\lfloor\:\frac{\mathrm{3}}{{x}}\:\rfloor=\:\mathrm{4}\: \\ $$$$ \\ $$ Answered by mr W last…
Question Number 90406 by I want to learn more last updated on 23/Apr/20 $$\mathrm{If}\:\:\:\:\:\:\mathrm{x}\:\:−\:\:\frac{\mathrm{1}}{\mathrm{x}}\:\:\:=\:\:\:\mathrm{3} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}^{\mathrm{4}} \:\:−\:\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }\:\:\:=\:\:\:??? \\ $$ Answered by som(math1967) last updated…
Question Number 155928 by cortano last updated on 06/Oct/21 Answered by mr W last updated on 06/Oct/21 $$\left({u}+{v}\right)^{\mathrm{3}} ={u}^{\mathrm{3}} +{v}^{\mathrm{3}} +\mathrm{3}{uv}\left({u}+{v}\right) \\ $$$$\left({u}+{v}\right)^{\mathrm{3}} −\mathrm{3}{uv}\left({u}+{v}\right)−\left({u}^{\mathrm{3}} +{v}^{\mathrm{3}}…
Question Number 90379 by jagoll last updated on 23/Apr/20 Commented by john santu last updated on 23/Apr/20 $${x}\:=\:{p}\:,\:{y}\:=\:{p}+\mathrm{1}\:,\:{z}\:=\:{p}+\mathrm{2} \\ $$$${x}.{z}\:=\:{p}^{\mathrm{2}} +\mathrm{2}{p} \\ $$$$\Rightarrow\:{p}\left({p}+\mathrm{1}\right)\left({p}+\mathrm{2}\right)\:=\:\mathrm{21}\left(\mathrm{3}{p}+\mathrm{3}\right) \\ $$$$\left({p}+\mathrm{1}\right)\:\left\{{p}^{\mathrm{2}}…
Question Number 155912 by MathSh last updated on 05/Oct/21 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{dimensions} \\ $$$$\mathrm{a};\mathrm{b};\mathrm{c}\in\mathbb{N}\:,\:\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{even}\:\:\mathrm{and}\:\:\mathrm{A}=\mathrm{P}\in\mathbb{N}. \\ $$$$\mathrm{With}\:\mathrm{maximum}\:\mathrm{area}.\:\mathrm{We}\:\mathrm{denoted} \\ $$$$\mathrm{A}=\mathrm{area}\:\:\mathrm{and}\:\:\:\mathrm{P}=\mathrm{perimetr}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com