Question Number 75894 by gugum last updated on 20/Dec/19 $$\mathrm{When}\:\mathrm{616}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{a}\:\mathrm{certain}\: \\ $$$$\mathrm{positive}\:\mathrm{number},\:\mathrm{which}\:\mathrm{is}\:\mathrm{66}\frac{\mathrm{2}}{\mathrm{3}}\%\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{quotient},\:\mathrm{it}\:\mathrm{leaves}\:\mathrm{16}\:\mathrm{as}\:\mathrm{the}\:\mathrm{remainder}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{divisor}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 75840 by gugum last updated on 18/Dec/19 $$\mathrm{If}\:\:{x}^{\mathrm{200}} \:<\:\mathrm{3}^{\mathrm{300}} \:,\:\mathrm{then}\:\mathrm{greatest}\:\mathrm{possible} \\ $$$$\mathrm{integral}\:\mathrm{value}\:\mathrm{of}\:\:\:{x}\:\:\mathrm{is}\:\_\_\_\_\_. \\ $$ Answered by mr W last updated on 19/Dec/19 $${x}^{\mathrm{200}}…
Question Number 9904 by 215 last updated on 14/Jan/17 $$\mathrm{Let}\:{X}\:\mathrm{denote}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{times}\:\mathrm{heads} \\ $$$$\mathrm{occur}\:\mathrm{in}\:{n}\:\mathrm{tosses}\:\mathrm{of}\:\mathrm{a}\:\mathrm{fair}\:\mathrm{coin}.\:\mathrm{If}\:{P}\:\left({X}=\mathrm{4}\right), \\ $$$${P}\:\left({X}=\mathrm{5}\right)\:\mathrm{and}\:{P}\:\left({X}=\mathrm{6}\right)\:\mathrm{are}\:\mathrm{in}\:{AP}\:;\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:{n}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9866 by richard last updated on 10/Jan/17 $$\mathrm{If}\:{I}_{{n}} =\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{x}} \:{x}^{{n}−\mathrm{1}} \:{dx},\:\mathrm{then}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−\lambda{x}} \:{x}^{{n}−\mathrm{1}} {dx}\:= \\ $$ Terms of Service Privacy…
Question Number 9865 by richard last updated on 10/Jan/17 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left[\frac{\mathrm{1}^{{m}} +\:\mathrm{2}^{{m}} +\:\mathrm{3}^{{m}} +\:…+\:{n}^{{m}} }{{n}^{{m}+\mathrm{1}} }\right]\:= \\ $$ Commented by sou1618 last updated on 12/Jan/17…
Question Number 9864 by richard last updated on 10/Jan/17 $$\mathrm{If}\:\:\frac{\mathrm{1}}{\:\sqrt{{a}}}\:\underset{\:\mathrm{1}} {\overset{{a}} {\int}}\:\left(\frac{\mathrm{3}}{\mathrm{2}}\:\sqrt{{x}}\:+\mathrm{1}−\:\frac{\mathrm{1}}{\:\sqrt{{x}}}\right){dx}\:<\:\mathrm{4},\:\mathrm{then}\:\:{a} \\ $$$$\mathrm{may}\:\mathrm{take}\:\mathrm{values}\:: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9788 by manishyam last updated on 04/Jan/17 $$\:\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{tan}^{\mathrm{3}} {x}}\:{dx}\:= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9762 by supungamage001 last updated on 31/Dec/16 $$\mathrm{If}\:\mathrm{cos}^{−\mathrm{1}} {x}_{\mathrm{1}} +\mathrm{cos}^{−\mathrm{1}} {x}_{\mathrm{2}} +…+\mathrm{cos}^{−\mathrm{1}} {x}_{{n}} ={n}\pi, \\ $$$$\mathrm{then}\:\:{x}_{\mathrm{1}} \:+\:{x}_{\mathrm{2}} ^{\mathrm{2}} \:+\:{x}_{\mathrm{3}} ^{\mathrm{3}} \:+\:…+\:{x}_{{n}} ^{{n}} \:=…
Question Number 9723 by supungamage001 last updated on 29/Dec/16 $$\mathrm{If}\:\:\overset{{x}} {\int}_{\mathrm{0}} {f}\left({t}\right)\:{dt}\:=\:{x}+\underset{{x}} {\overset{\mathrm{1}} {\int}}\:{t}\:{f}\left({t}\right)\:{dt},\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:{f}\left(\mathrm{1}\right)\:\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9722 by supungamage001 last updated on 29/Dec/16 $$\mathrm{If}\:\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{equation} \\ $$$${x}^{\mathrm{2}} +{px}+{q}=\mathrm{0}\:\mathrm{are}\:\mathrm{tan}\:\mathrm{30}°\:\mathrm{and}\:\mathrm{tan}\:\mathrm{15}° \\ $$$$\mathrm{respectively},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{2}\:+\:{q}−{p}\:\mathrm{is} \\ $$ Commented by ridwan balatif last updated…