Question Number 218331 by Hanuda354 last updated on 07/Apr/25 $$\int_{\mathrm{0}} ^{\infty} \:\frac{{x}^{\mathrm{2}} \:\mathrm{sin}\:\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{4}} }\:{dx}\:=\:? \\ $$ Answered by MrGaster last updated on 07/Apr/25 Commented by…
Question Number 218354 by MrGaster last updated on 08/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218317 by Hanuda354 last updated on 06/Apr/25 Answered by mr W last updated on 06/Apr/25 $${say}\:{a}={side}\:{length}\:{of}\:{square} \\ $$$${AE}=\sqrt{{a}^{\mathrm{2}} −\mathrm{5}^{\mathrm{2}} } \\ $$$${FB}={a}−\mathrm{2} \\…
Question Number 218318 by Tawa11 last updated on 06/Apr/25 Commented by Tawa11 last updated on 06/Apr/25 $$\mathrm{Area}\:\mathrm{of}\:\mathrm{circle}. \\ $$ Commented by AlagaIbile last updated on…
Question Number 218328 by hardmath last updated on 06/Apr/25 Answered by vnm last updated on 08/Apr/25 $$ \\ $$$$\mathrm{Let}\:\mathrm{us}\:\mathrm{introduce}\:\mathrm{a}\:\mathrm{coordinate} \\ $$$$\mathrm{system}\:\mathrm{in}\:\mathrm{which}\:\mathrm{the}\:\mathrm{OX}\:\mathrm{axis}\:\mathrm{is} \\ $$$$\mathrm{co}−\mathrm{directed}\:\mathrm{with}\:\mathrm{the}\:\mathrm{vector}\:\mathrm{AC} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{is}\:\mathrm{in}\:\mathrm{the}\:\mathrm{middle}\:…
Question Number 218312 by Rojarani last updated on 06/Apr/25 Answered by mr W last updated on 07/Apr/25 $${say}\:{the}\:{time}\:{needed}\:{from}\:{house}\:{to}\: \\ $$$${station}\:{A}\:{is}\:{x},\:{and}\:{from}\:{house}\:{to} \\ $$$${station}\:{B}\:{is}\:{y}. \\ $$$${for}\:{up}\:{train}\:{it}\:{is}\:{given}: \\…
Question Number 218310 by mr W last updated on 06/Apr/25 $$\mathrm{10}\:{couples}\:{are}\:{invited}\:{to}\:{a}\:{dinner} \\ $$$${and}\:{should}\:{be}\:{seated}\:{at}\:{a}\:{round}\:{table}. \\ $$$${in}\:{how}\:{many}\:{ways}\:{can}\:{the}\:{host}\:{do} \\ $$$${this}, \\ $$$$\left.\mathrm{1}\right)\:{generally}. \\ $$$$\left.\mathrm{2}\right)\:{if}\:{the}\:{husband}\:{and}\:{the}\:{wife}\:{of} \\ $$$$\:\:\:\:\:{each}\:{couple}\:{should}\:{sit}\:{together}. \\ $$$$\left.\mathrm{3}\right)\:{if}\:{no}\:{two}\:{men}\:{should}\:{sit}\:{next}…
Question Number 218311 by mr W last updated on 06/Apr/25 Answered by Frix last updated on 06/Apr/25 $${f}\left({x}\right)={c} \\ $$ Commented by mr W last…
Question Number 218322 by shunmisaki007 last updated on 06/Apr/25 $$\mathrm{Evaluate}\:\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{\mathrm{sin}\left({x}\right)}{\mathrm{sin}^{\mathrm{3}} \left({x}\right)+\mathrm{cos}^{\mathrm{3}} \left({x}\right)}\:{dx}. \\ $$ Answered by Ghisom last updated on 06/Apr/25 $$\underset{\mathrm{0}} {\overset{\pi/\mathrm{3}}…
Question Number 218299 by mr W last updated on 05/Apr/25 $$\mathrm{10}\:{couples}\:{are}\:{invited}\:{to}\:{a}\:{dinner}\:{and} \\ $$$${should}\:{be}\:{seated}\:{at}\:{a}\:{round}\:{table}. \\ $$$${in}\:{how}\:{many}\:{ways}\:{can}\:{the}\:{host}\:{do} \\ $$$${this}, \\ $$$$\left.\mathrm{1}\right)\:{generally} \\ $$$$\left.\mathrm{2}\right)\:{if}\:{two}\:{men}\:{should}\:{not}\:{sit}\:{next} \\ $$$$\:\:\:\:\:{to}\:{each}\:{other} \\ $$$$\left.\mathrm{3}\left.\right)\:{as}\:\mathrm{2}\right),\:{but}\:{two}\:{speicial}\:{couples}\:…