Question Number 84327 by sahnaz last updated on 11/Mar/20 $$\int\frac{\mathrm{3}−\mathrm{7u}}{\mathrm{7u}^{\mathrm{2}} −\mathrm{7}}\mathrm{du} \\ $$ Answered by 20092104 last updated on 15/Mar/20 $$\int\frac{\mathrm{3}−\mathrm{7}{u}}{\mathrm{7}{u}^{\mathrm{2}} −\mathrm{7}}{du} \\ $$$$=\int\frac{\mathrm{3}−\mathrm{7}{u}}{\mathrm{7}\left({u}^{\mathrm{2}} −\mathrm{1}\right)}{du}…
Question Number 84323 by Rio Michael last updated on 11/Mar/20 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{moving}\:\mathrm{in}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\:{OX}\:\mathrm{has}\:\mathrm{a} \\ $$$$\mathrm{displacement}\:{x}\:\mathrm{from}\:{O}\:\mathrm{at}\:\mathrm{time}\:{t}\:\mathrm{where}\:{x}\:\mathrm{satisfies} \\ $$$$\mathrm{the}\:\mathrm{equation}\:\frac{{d}^{\mathrm{2}} {x}}{{dt}^{\mathrm{2}} \:}\:+\:\mathrm{2}\frac{{dx}}{{dt}}\:+\:\mathrm{3}{x}\:=\:\mathrm{0} \\ $$$$\mathrm{the}\:\mathrm{damping}\:\mathrm{factor}\:\mathrm{for}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{is} \\ $$$$\left[\mathrm{A}\right]\:{e}^{−\mathrm{1}} \\ $$$$\left[\mathrm{B}\right]\:{e}^{−\mathrm{2}{t}} \\ $$$$\left[\mathrm{C}\right]\:{e}^{−\mathrm{3}{t}}…
Question Number 149853 by 0731619 last updated on 07/Aug/21 Answered by mindispower last updated on 08/Aug/21 $$\frac{\mathrm{1}}{\pi}\int_{\mathrm{0}} ^{\pi} {e}^{{izcos}\left(\theta\right)} {d}\theta={J}_{\mathrm{0}} \left({z}\right)\:\:{bassel}\:{function} \\ $$$${cos}^{\mathrm{2}} \left(\theta\right)=\frac{\mathrm{1}+{cos}\left(\mathrm{2}\theta\right)}{\mathrm{2}} \\…
Question Number 18783 by anuragbhandari123@gmail.com last updated on 29/Jul/17 $$ \\ $$$$\int\mathrm{sin}\:{x} \\ $$ Answered by Tinkutara last updated on 29/Jul/17 $$−\mathrm{cos}\:{x}\:+\:{C} \\ $$ Terms…
Question Number 149852 by Tawa11 last updated on 07/Aug/21 What angle is subtended at the centre of the Earth by an arc of the equator…
Question Number 84316 by Rio Michael last updated on 11/Mar/20 $$\mathrm{Which}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{sets}\:\mathrm{of} \\ $$$$\mathrm{vectors}\:\mathrm{is}\:\mathrm{a}\:\mathrm{basis}\:\mathrm{for}\:\mathbb{R}^{\mathrm{2}} \\ $$$$\left[\mathrm{A}\right]\:\left\{\begin{pmatrix}{\mathrm{1}}\\{−\mathrm{2}}\end{pmatrix}\:,\:\begin{pmatrix}{−\mathrm{3}}\\{\mathrm{6}}\end{pmatrix}\right\} \\ $$$$\left[\mathrm{B}\right]\:\left\{\begin{pmatrix}{\mathrm{1}}\\{\mathrm{1}}\end{pmatrix}\:,\begin{pmatrix}{\mathrm{2}}\\{\mathrm{2}}\end{pmatrix}\right\} \\ $$$$\left[\mathrm{C}\right]\:\left\{\begin{pmatrix}{\mathrm{2}}\\{\mathrm{1}}\end{pmatrix}\:,\begin{pmatrix}{\mathrm{0}}\\{\mathrm{1}}\end{pmatrix}\right\} \\ $$$$\left[\mathrm{D}\right]\:\left\{\begin{pmatrix}{\mathrm{1}}\\{\mathrm{2}}\end{pmatrix}\:,\:\begin{pmatrix}{\mathrm{4}}\\{\mathrm{8}}\end{pmatrix}\:\right\} \\ $$ Commented by…
Question Number 149854 by mathdanisur last updated on 07/Aug/21 Commented by mr W last updated on 08/Aug/21 $${i}\:{gave}\:{an}\:{answer}.\:{you}\:{didn}'{t}\:{agree}, \\ $$$${but}\:{gave}\:{an}\:{other}\:{answer}\:{which} \\ $$$${is}\:{in}\:{fact}\:{the}\:{same}\:{as}\:{my}\:{answer}. \\ $$ Commented…
Question Number 18779 by chux last updated on 29/Jul/17 $$\mathrm{If}\:\:\frac{\mathrm{1}}{\mathrm{2x}}+\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{1}}{\mathrm{2x}}+\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{1}}{\mathrm{2x}}+\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{1}}{\mathrm{2x}}+……=\mathrm{y}\right.\right.\right. \\ $$$$\mathrm{what}\:\mathrm{does}\:\mathrm{x}\:\mathrm{equals}? \\ $$$$ \\ $$$$\left.\mathrm{a}\right)\mathrm{1}/\mathrm{2} \\ $$$$\left.\mathrm{b}\right)\mathrm{2}/\mathrm{4} \\ $$$$\left.\mathrm{c}\right)\mathrm{1} \\ $$$$\left.\mathrm{d}\right)\mathrm{1}/\mathrm{4} \\ $$ Commented…
Question Number 84315 by redmiiuser last updated on 11/Mar/20 $$\int{xy}\:{dx} \\ $$ Answered by M±th+et£s last updated on 11/Mar/20 $$\frac{{y}}{\mathrm{2}}\:{x}^{\mathrm{2}} +{c} \\ $$ Terms of…
Question Number 84313 by M±th+et£s last updated on 11/Mar/20 $$\int\:\:\left({a}^{\mathrm{2}/\mathrm{5}} −{x}^{\mathrm{2}/\mathrm{5}} \right)^{\frac{\mathrm{5}}{\mathrm{2}}} \:{dx} \\ $$ Commented by niroj last updated on 11/Mar/20 $$\:\int\:\left(\mathrm{a}^{\mathrm{2}/\mathrm{5}} −\mathrm{x}^{\mathrm{2}/\mathrm{5}} \right)^{\mathrm{5}/\mathrm{2}}…