Question Number 64347 by Rio Michael last updated on 16/Jul/19 $${Two}\:{consecutive}\:{integers}\:{between}\:{which}\:{a}\:{root}\:{of}\:{the}\:{equation} \\ $$$$\left.\:\mathrm{1}\right){x}^{\mathrm{3}} +{x}−\mathrm{16}=\mathrm{0}\: \\ $$$$\left.\mathrm{2}\right)\:{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}=\mathrm{0} \\ $$$${lies}\:{are}; \\ $$ Terms of Service Privacy…
Question Number 129811 by AgnibhoMukhopadhyay last updated on 19/Jan/21 $$\left(\frac{\mathrm{1}}{\mathrm{4}}\right)\left(\frac{\mathrm{2}}{\mathrm{4}}\right)\left(\frac{\mathrm{5}}{\mathrm{6}}\right)\left(\frac{\mathrm{7}}{\mathrm{8}}\right)=\:? \\ $$ Answered by EDWIN88 last updated on 20/Jan/21 $$\:\frac{\mathrm{70}}{\mathrm{4}^{\mathrm{4}} ×\mathrm{3}} \\ $$ Terms of…
Question Number 64218 by Hope last updated on 15/Jul/19 $${so}\:{goodbye}\:{everybody}\:{i}\:{am}\:{leaving}\:{this}\:{platform} \\ $$ Commented by MJS last updated on 15/Jul/19 $$\mathrm{why}?\::−\left(\right. \\ $$ Commented by ajfour…
Question Number 129679 by BHOOPENDRA last updated on 17/Jan/21 Answered by mathmax by abdo last updated on 18/Jan/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{x}\sqrt{\mathrm{tanx}}\mathrm{dx}\:\:\mathrm{changement}\:\sqrt{\mathrm{tanx}}=\mathrm{t}\:\mathrm{give}\:\mathrm{tanx}=\mathrm{t}^{\mathrm{2}} \:\Rightarrow\mathrm{x}=\mathrm{arctan}\left(\mathrm{t}^{\mathrm{2}} \right)\:\Rightarrow \\ $$$$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 64138 by Tawa1 last updated on 14/Jul/19 Answered by som(math1967) last updated on 14/Jul/19 $$\bigtriangleup{ADC}\sim\bigtriangleup{BAC} \\ $$$$\therefore\frac{{AC}}{{DC}}=\frac{{BC}}{{AC}}=\frac{{AB}}{{AD}} \\ $$$$\therefore\frac{{AC}}{{DC}}=\frac{{AB}}{{AD}}=\frac{\mathrm{14}}{\mathrm{7}}\:\:\therefore{AC}=\mathrm{2}{DC} \\ $$$${Again}\:\frac{{AC}}{{DC}}=\frac{{BC}}{{AC}}\:\Rightarrow{AC}^{\mathrm{2}} ={BC}×{DC} \\…
Question Number 129672 by Dwaipayan Shikari last updated on 17/Jan/21 $$\int\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{97}} \right)^{\mathrm{7}} } \\ $$ Answered by mindispower last updated on 17/Jan/21 $${u}={x}^{\mathrm{97}} \Rightarrow{dx}=\frac{{u}^{−\frac{\mathrm{96}}{\mathrm{97}}} }{\mathrm{97}}{du}…
Question Number 64086 by Rio Michael last updated on 12/Jul/19 $${if}\:\:\:\mathrm{3}{x}\:+\:\mathrm{5}{y}\:=\:\mathrm{1} \\ $$$${use}\:{Bezout}'{s}\:{identity}\:{to}\:{find}\:{the}\:{value}\:{of}\:{x}\:{and}\:{y} \\ $$ Commented by turbo msup by abdo last updated on 13/Jul/19…
Question Number 64018 by Rio Michael last updated on 12/Jul/19 $${sin}\mathrm{3}\theta=? \\ $$$${cos}\mathrm{3}\theta=? \\ $$$${tan}\mathrm{3}\theta=? \\ $$ Commented by kaivan.ahmadi last updated on 12/Jul/19 $${sin}\mathrm{3}\theta={sin}\left(\mathrm{2}\theta+\theta\right)={sin}\mathrm{2}\theta{cos}\theta+{cos}\mathrm{2}\theta{sin}\theta=…
Question Number 64015 by Rio Michael last updated on 12/Jul/19 $$\:{How}\:{can}\:{such}\:{questions}\:{be}\:{solved}.? \\ $$$$\:\:{x}^{\mathrm{2}} −\mid\mathrm{7}\mid\:+\mathrm{10}=\mathrm{0} \\ $$$$\:\:{x}^{\mathrm{2}} −\mid{x}\mid−\mathrm{6}>\mathrm{0} \\ $$$$\:\: \\ $$ Answered by MJS last…
Question Number 64017 by Rio Michael last updated on 12/Jul/19 $${why}\:{can}'{t}\:{we}\:{differentiate}\:{or}\:{intergrate}\:{powers}\:{of}\:{trigonometric} \\ $$$${functions}\:{such}\:{as}\: \\ $$$$\left.\mathrm{1}\left.\right)\:\int{cos}^{\mathrm{2}} {xdx}?\:\:\:\:\mathrm{3}\right)\:\int{tan}^{\mathrm{2}} \mathrm{2}{xdx} \\ $$$$\left.\mathrm{2}\left.\right)\int{sin}^{\mathrm{2}} {xdx}?\:\:\:\:\:\mathrm{4}\right)\:\int{sin}^{\mathrm{10}} {x} \\ $$$${hence}\:{how}\:{do}\:{we}\:{solve}\:{such}\:{problems}.? \\ $$…