Question Number 91496 by Zainal Arifin last updated on 01/May/20 $$\mathrm{The}\:\mathrm{vector}\:\boldsymbol{\mathrm{a}}=\mathrm{3}\boldsymbol{\mathrm{i}}−\mathrm{2}\boldsymbol{\mathrm{j}}+\mathrm{2}\boldsymbol{\mathrm{k}}\:\:\mathrm{and}\:\boldsymbol{\mathrm{b}}=−\boldsymbol{\mathrm{i}}−\mathrm{2}\boldsymbol{\mathrm{k}} \\ $$$$\mathrm{are}\:\mathrm{the}\:\mathrm{adjacent}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{parallelogram}. \\ $$$$\mathrm{Then}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{its}\:\mathrm{diagonal}\:\mathrm{is} \\ $$ Commented by jagoll last updated on 01/May/20 $$\overset{\rightarrow}…
Question Number 91494 by Zainal Arifin last updated on 01/May/20 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral}\:\underset{\:\mathrm{1}} {\overset{\mathrm{3}} {\int}}\:\sqrt{\mathrm{3}+{x}^{\mathrm{3}} }\:{dx} \\ $$$$\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{interval}…. \\ $$ Answered by Joel578 last updated on 01/May/20…
Question Number 91493 by Zainal Arifin last updated on 01/May/20 $$\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\mathrm{log}\:\left(\frac{\mathrm{4}+\mathrm{3}\:\mathrm{sin}\:{x}}{\mathrm{4}+\mathrm{3}\:\mathrm{cos}\:{x}}\right){dx}\:= \\ $$ Commented by mathmax by abdo last updated on 01/May/20 $${I}\:=\int_{\mathrm{0}}…
Question Number 25948 by 272; 2; 2 last updated on 16/Dec/17 $$\mathrm{Factorise}:\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −{z}^{\mathrm{2}} −\mathrm{2}{xy} \\ $$ Commented by tawa tawa last updated on 16/Dec/17…
Question Number 25786 by gugalesweta@gmail.com last updated on 14/Dec/17 $$\mathrm{If}\:{C}_{\mathrm{0}} +\:{C}_{\mathrm{1}} +\:{C}_{\mathrm{2}} +…+\:{C}_{{n}} \:=\:\mathrm{256},\:\mathrm{then} \\ $$$$\:^{\mathrm{2}{n}} {C}_{\mathrm{2}} \:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Answered by mrW1 last updated…
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…
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…
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:…
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 $${coeff}.\:{of}\:{x}^{\mathrm{1}} +{coeff}.\:{of}\:{x}^{\mathrm{2}}…
Question Number 25295 by Mr eaay last updated on 07/Dec/17 $$\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…