Question Number 137851 by liberty last updated on 07/Apr/21 $${If}\:\mathrm{2}^{\mathrm{2sin}\:^{\mathrm{2}} \theta−\mathrm{3sin}\:\theta+\mathrm{1}} \:+\:\mathrm{2}^{\mathrm{2}−\mathrm{2sin}\:^{\mathrm{2}} \theta+\mathrm{3sin}\:\theta} \:=\:\mathrm{9} \\ $$$${find}\:{the}\:{value}\:{of}\:\mathrm{sin}\:\theta+\mathrm{cos}\:\theta\:. \\ $$ Answered by bobhans last updated on 07/Apr/21…
Question Number 6775 by Tawakalitu. last updated on 24/Jul/16 $$\int_{\mathrm{0}} ^{\infty} {e}^{{t}^{\mathrm{2}} } {e}^{−{st}} \:\:{dt} \\ $$$$ \\ $$$${please}\:{help} \\ $$ Answered by Yozzii last…
Question Number 6772 by Tawakalitu. last updated on 24/Jul/16 $${What}\:{is}\:{the}\:{smallest}\:{even}\:{number}\:{greater}\:{than}\:\mathrm{3}\:{that}\:{cannot} \\ $$$${be}\:{expressed}\:{as}\:{the}\:{sum}\:{of}\:{two}\:{prime}\:{numbers}\:? \\ $$ Commented by Yozzii last updated on 24/Jul/16 $${Let}\:{S}\:{be}\:{a}\:{set}\:{of}\:{n}\:{elements},\:{so}\:{that}\:\mid{S}\mid={n}\geqslant\mathrm{4}. \\ $$$${Let}\:{P}\:{be}\:{a}\:{partition}\:{of}\:{S}\:{into}\:{two}\:{sets} \\…
Question Number 137841 by Yegon last updated on 07/Apr/21 Commented by Yegon last updated on 07/Apr/21 $${please}\:{help}\:{me}\:{to}\:{solve}\:{this} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 137837 by Ñï= last updated on 07/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{sin}\:{x}−\mathrm{sin}\:{x}^{\mathrm{2}} }{{x}}=\frac{\pi}{\mathrm{4}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{cos}\:{x}−\mathrm{cos}\:{x}^{\mathrm{2}} }{{x}}{dx}=−\frac{\gamma}{\mathrm{2}} \\ $$ Answered by Dwaipayan Shikari last…
Question Number 6767 by Tawakalitu. last updated on 24/Jul/16 $${A}\:{molten}\:\:{plastic}\:{flows}\:{out}\:{of}\:{a}\:{tube}\:{that}\:{is}\:\mathrm{8}.\mathrm{0}{cm}\:{long} \\ $$$${at}\:{a}\:{rate}\:{of}\:\mathrm{13}{cm}^{\mathrm{3}} /{min},\:{when}\:{the}\:{pressure}\:{differential} \\ $$$${between}\:{the}\:{two}\:{ends}\:{of}\:{the}\:{tube}\:{is}\:\mathrm{18}{cm}\:{mercury}. \\ $$$${find}\:{the}\:{viscousity}\:{of}\:{the}\:{plastic}.\: \\ $$$${The}\:{internal}\:{diameter}\:{of}\:{the}\:{tube}\:{is}\:\:\mathrm{1}.\mathrm{30}{mm}.\: \\ $$$${the}\:{density}\:{of}\:{mercury}\:{is}\:\mathrm{13}.\mathrm{6}{g}/{cm}^{\mathrm{3}} \\ $$ Terms of…
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Question Number 137838 by Bekzod Jumayev last updated on 07/Apr/21 $$\int{log}_{{x}} {edx}=?? \\ $$ Commented by mr W last updated on 07/Apr/21 $$=\int\frac{\mathrm{1}}{\mathrm{ln}\:{x}}{dx} \\ $$$$={li}\left({x}\right)+{C}…
Question Number 6762 by 314159 last updated on 24/Jul/16 Commented by Yozzii last updated on 24/Jul/16 $${x}_{\mathrm{1}} ^{\mathrm{2}} +{x}_{\mathrm{2}} ^{\mathrm{2}} +\mathrm{2}{x}_{\mathrm{1}} {x}_{\mathrm{2}} {cos}\theta=\mathrm{1}, \\ $$$${y}_{\mathrm{1}}…
Question Number 72296 by naka3546 last updated on 27/Oct/19 $${Let}\:\:\:\:{x}\:\:=\:\:{f}\left({x}\right)\:{e}^{{f}\left({x}\right)} \\ $$$$\:\:\:\:\:\:\underset{\:\mathrm{0}} {\int}\overset{\:{e}} {\:}{f}\left({x}\right)\:{dx}\:\:=\:\:? \\ $$ Commented by naka3546 last updated on 27/Oct/19 $${e}^{\mathrm{ln}\:{x}} \:\:=\:\:{x}…