Question Number 204909 by mnjuly1970 last updated on 01/Mar/24 $$ \\ $$$$\:\:\:\:\:\:\:\Omega=\:\int_{\frac{\mathrm{1}}{{e}}} ^{\:{e}} \frac{\:{arctan}\left({x}\right)}{{x}}\:{dx}=? \\ $$ Answered by witcher3 last updated on 01/Mar/24 $$\mathrm{x}\rightarrow\frac{\mathrm{1}}{\mathrm{x}} \\…
Question Number 204910 by universe last updated on 01/Mar/24 Commented by witcher3 last updated on 02/Mar/24 $$\mathrm{is}\:\mathrm{This}\:\mathrm{correct}\:\mathrm{formes}? \\ $$ Answered by witcher3 last updated on…
Question Number 204905 by Manishkumar last updated on 02/Mar/24 $$\mathrm{4}.\:\frac{\mathrm{sin}\:\mathrm{30}^{°} \:+\:\mathrm{tan}\:\mathrm{45}^{°} \:−\:\mathrm{cosec}\:\mathrm{60}^{°} }{\mathrm{sec}\:\mathrm{30}^{°} \:+\:\mathrm{cos}\:\mathrm{60}^{°} \:+\:\mathrm{cot}\:\mathrm{45}^{°} } \\ $$$$ \\ $$$$=\:\frac{\mathrm{1}/\mathrm{2}\:+\:\mathrm{1}\:−\:\mathrm{2}/\sqrt{\mathrm{3}}}{\mathrm{2}/\sqrt{\mathrm{3}}\:+\:\mathrm{1}/\mathrm{2}\:+\:\mathrm{1}\:\:\mathrm{v}} \\ $$$$=\:\frac{\frac{\sqrt{\mathrm{3}}\:+\:\mathrm{2}\sqrt{\mathrm{3}}\:−\:\mathrm{4}}{\mathrm{2}\sqrt{\mathrm{3}}}}{\frac{\mathrm{4}\:+\:\sqrt{\mathrm{3}}\:+\:\mathrm{2}\sqrt{\mathrm{3}}}{\mathrm{2}\sqrt{\mathrm{3}}}} \\ $$$$ \\…
Question Number 204916 by hardmath last updated on 01/Mar/24 $$ \\ $$How many axes of symmetry does an open angle have? Commented by mr W…
Question Number 204900 by universe last updated on 01/Mar/24 $$\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{n}!\left({e}−\mathrm{x}_{\mathrm{n}} \right)\:=\:? \\ $$$$\:\:\mathrm{where}\:\mathrm{x}_{\mathrm{n}\:} =\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}!}+\frac{\mathrm{1}}{\mathrm{2}!}+…+\frac{\mathrm{1}}{\mathrm{n}!} \\ $$ Commented by Frix last updated on 01/Mar/24 $${x}_{{n}}…
Question Number 204901 by universe last updated on 01/Mar/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 204902 by pticantor last updated on 01/Mar/24 $$\boldsymbol{{calculate}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\boldsymbol{{x}}\left(\mathrm{1}−\boldsymbol{{x}}\right)}\boldsymbol{{dx}} \\ $$ Answered by witcher3 last updated on 01/Mar/24 $$\mathrm{y}^{\mathrm{2}} +\mathrm{x}^{\mathrm{2}} −\mathrm{x}=\mathrm{0}\Leftrightarrow\mathrm{y}^{\mathrm{2}} +\left(\mathrm{x}−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 204878 by mnjuly1970 last updated on 29/Feb/24 $$ \\ $$$$\:\:{prove}\:{that}: \\ $$$$ \\ $$$$\:\:\:\:\sqrt[{\mathrm{4}}]{{e}}\:<\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {e}^{\:{t}^{\mathrm{2}} } {dt}<\:\frac{\mathrm{1}\:+\:{e}}{\mathrm{2}} \\ $$ Answered by witcher3…
Question Number 204879 by universe last updated on 09/Aug/24 $$\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{n}!\left({e}−\mathrm{x}_{\mathrm{n}} \right)\:=\:? \\ $$$$\:\:\mathrm{where}\:\mathrm{x}_{\mathrm{n}\:} =\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}!}+\frac{\mathrm{1}}{\mathrm{2}!}+…+\frac{\mathrm{1}}{\mathrm{n}!} \\ $$ Commented by mr W last updated on 01/Mar/24…
Question Number 204873 by necx122 last updated on 29/Feb/24 $${The}\:{figure}\:{below}\:{represents}\:{a}\:{design} \\ $$$${on}\:{the}\:{windows}\:{of}\:{a}\:{building}.\:{The} \\ $$$${curved}\:{part}\:{XY}\:{is}\:{an}\:{arc}\:{of}\:{a}\:{circle}. \\ $$$${The}\:{rise}\:{of}\:{the}\:{segmental}\:{arc}\:{is}\:\mathrm{10}{cm}, \\ $$$${its}\:{span}\:{is}\:\mathrm{100}{cm}\:{and}\:{XZ}={ZY}=\mathrm{120}{cm}. \\ $$$${calculate}: \\ $$$$\left({i}\right)\:{the}\:{radius}\:{of}\:{the}\:{circle} \\ $$$$\left({ii}\right)\:{the}\:{area}\:{of}\:{the}\:{segmental}\:{cap}, \\…