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The-least-value-of-the-function-x-5pi-4-x-3-sin-t-4-cos-t-dt-on-the-interval-5pi-4-4pi-3-is-

Question Number 25773 by Ali Makhzoum last updated on 14/Dec/17 $$\mathrm{The}\:\mathrm{least}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function} \\ $$$$\:\:\:\phi\left({x}\right)\:=\:\underset{\mathrm{5}\pi/\mathrm{4}} {\overset{{x}} {\int}}\:\left(\mathrm{3}\:\mathrm{sin}\:{t}+\mathrm{4}\:\mathrm{cos}\:{t}\right)\:{dt} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{interval}\:\left[\:\frac{\mathrm{5}\pi}{\mathrm{4}},\:\frac{\mathrm{4}\pi}{\mathrm{3}}\:\right]\:\mathrm{is} \\ $$ Answered by ajfour last updated on…

If-the-sum-of-n-terms-f-a-series-is-A-n-2-B-n-where-A-B-are-constants-then-it-is-an-AP-

Question Number 25741 by gugalesweta@gmail.com last updated on 13/Dec/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:{n}\:\mathrm{terms}\:\mathrm{f}\:\mathrm{a}\:\mathrm{series}\:\mathrm{is}\: \\ $$$${A}\:{n}^{\mathrm{2}} +{B}\:{n}\:,\:\mathrm{where}\:{A},\:{B}\:\mathrm{are}\:\mathrm{constants}, \\ $$$$\mathrm{then}\:\mathrm{it}\:\mathrm{is}\:\mathrm{an}\:\mathrm{AP}. \\ $$ Commented by math solver last updated on 13/Dec/17…

If-sin-sin-2-1-sin-4-and-sin-5-are-in-AP-where-pi-lt-lt-pi-then-lies-in-the-interval-

Question Number 25371 by ppriyanshupatel200252@gmail.co last updated on 09/Dec/17 $$\mathrm{If}\:\mathrm{sin}\:\alpha,\:\mathrm{sin}^{\mathrm{2}} \alpha,\:\mathrm{1},\:\mathrm{sin}^{\mathrm{4}} \alpha\:\mathrm{and}\:\mathrm{sin}^{\mathrm{5}} \alpha\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}, \\ $$$$\mathrm{where}\:\:\:−\pi<\alpha\:<\:\pi,\:\mathrm{then}\:\alpha\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{interval} \\ $$ Terms of Service Privacy Policy Contact:…

Three-dice-are-rolled-The-number-of-possible-outcomes-in-which-at-least-one-die-shows-5-is-

Question Number 25334 by arvindbrar26068@gmail.com last updated on 08/Dec/17 $$\mathrm{Three}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{rolled}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{possible}\:\mathrm{outcomes}\:\mathrm{in}\:\mathrm{which}\:\mathrm{at}\:\mathrm{least} \\ $$$$\mathrm{one}\:\mathrm{die}\:\mathrm{shows}\:\mathrm{5}\:\mathrm{is} \\ $$ Answered by ajfour last updated on 08/Dec/17 $${coeff}.\:{of}\:{x}^{\mathrm{1}} +{coeff}.\:{of}\:{x}^{\mathrm{2}}…

X-and-Y-can-do-a-work-in-30-days-and-60-days-respectively-If-they-work-on-alternate-days-beginning-with-X-in-how-many-days-will-the-work-be-completed-

Question Number 25295 by Mr eaay last updated on 07/Dec/17 $$\mathrm{X}\:\mathrm{and}\:\mathrm{Y}\:\mathrm{can}\:\mathrm{do}\:\mathrm{a}\:\mathrm{work}\:\mathrm{in}\:\mathrm{30}\:\mathrm{days}\:\mathrm{and} \\ $$$$\mathrm{60}\:\mathrm{days}\:\mathrm{respectively}.\:\mathrm{If}\:\mathrm{they}\:\mathrm{work}\:\mathrm{on} \\ $$$$\mathrm{alternate}\:\mathrm{days}\:\mathrm{beginning}\:\mathrm{with}\:\mathrm{X},\:\mathrm{in} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{days}\:\mathrm{will}\:\mathrm{the}\:\mathrm{work}\:\mathrm{be} \\ $$$$\mathrm{completed}? \\ $$ Answered by mrW1 last…