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…
Question Number 9707 by Fahad last updated on 27/Dec/16 $$\mathrm{How}\:\mathrm{many}\:\mathrm{paving}\:\mathrm{stones}\:\mathrm{each}\:\mathrm{measuring} \\ $$$$\mathrm{2}.\mathrm{5m}×\mathrm{2m}\:\mathrm{are}\:\mathrm{required}\:\mathrm{to}\:\mathrm{pave}\:\mathrm{a}\:\mathrm{rectangular} \\ $$$$\mathrm{courtyard}\:\mathrm{30m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{16}.\mathrm{5}\:\mathrm{m}\:\mathrm{wide}? \\ $$ Commented by ridwan balatif last updated on 27/Dec/16 $$\mathrm{area}\:\mathrm{of}\:\mathrm{courtyard}=\mathrm{30}×\mathrm{16}.\mathrm{5}=\mathrm{495}\:\mathrm{m}^{\mathrm{2}}…
Question Number 9620 by asma last updated on 21/Dec/16 $$\mathrm{Two}\:\mathrm{persons}\:\mathrm{X}\:\mathrm{and}\:\mathrm{Y}\:\mathrm{together}\:\mathrm{can}\:\mathrm{do}\:\mathrm{a} \\ $$$$\mathrm{job}\:\mathrm{in}\:\mathrm{36}\:\mathrm{days}.\:\mathrm{If}\:\mathrm{X}'\mathrm{s}\:\mathrm{ability}\:\mathrm{to}\:\mathrm{do}\:\mathrm{the} \\ $$$$\mathrm{work}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{that}\:\mathrm{of}\:\mathrm{Y},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{days}\:\mathrm{in}\:\mathrm{which}\:\mathrm{Y}\:\mathrm{can} \\ $$$$\mathrm{do}\:\mathrm{the}\:\mathrm{work}\:\mathrm{individually}. \\ $$ Answered by sandy_suhendra last updated…
Question Number 9421 by 8168 last updated on 07/Dec/16 $$\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{coefficients}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{expansion}\:\mathrm{of}\:\left({a}+{b}\right)^{{n}} \:\mathrm{is}\:\mathrm{4096},\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{greatest}\:\mathrm{coefficient}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{is} \\ $$ Answered by sandy_suhendra last updated on 08/Dec/16 $$\mathrm{if}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{coefficients}\:=\:\mathrm{4096}\:…
Question Number 9422 by 8168 last updated on 07/Dec/16 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\:^{\mathrm{95}} {C}_{\mathrm{4}} +\underset{{j}=\mathrm{1}} {\overset{\mathrm{5}} {\sum}}\:^{\mathrm{100}−{j}} {C}_{\mathrm{3}} \:\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9218 by nazar last updated on 23/Nov/16 $$\mathrm{If}\:\mathrm{sin}\:{A}+\mathrm{sin}\:{B}={a}\:\mathrm{and}\:\mathrm{cos}\:{A}+\mathrm{cos}\:{B}={b}, \\ $$$$\mathrm{then}\:\mathrm{cos}\:\left({A}+{B}\right)= \\ $$ Commented by sandy_suhendra last updated on 24/Nov/16 $$\mathrm{cos}\left(\mathrm{A}+\mathrm{B}\right)\:\mathrm{or}\:\mathrm{cos}\left(\mathrm{A}−\mathrm{B}\right)\:? \\ $$ Terms…