Question Number 39231 by LX Z last updated on 04/Jul/18 $$\left({sin}^{−\mathrm{1}} {x}\right)^{\mathrm{2}} +\:\:\left({sin}^{−\mathrm{1}} {y}\right)^{\mathrm{2}} +\:\:\mathrm{2}\left({sin}^{−\mathrm{1}} {x}\right) \\ $$$$\left({sin}^{−\mathrm{1}} {y}\right)=\:\pi^{\mathrm{2}} ,{then}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:{is}\:{equal}\:{to}? \\ $$ Answered…
Question Number 39222 by behi83417@gmail.com last updated on 04/Jul/18 Commented by math khazana by abdo last updated on 04/Jul/18 $$\left.\mathrm{1}\right)\:\:{f}\:{is}\:{defined}\:{on}\:\left[\mathrm{0},\mathrm{1}\left[\right.\right. \\ $$$${f}^{'} \left({x}\right)=\frac{\frac{−\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{1}−{x}}}\left(\mathrm{1}−\sqrt{{x}}\right)\:−\sqrt{\mathrm{1}−{x}}\left(\frac{−\mathrm{1}}{\mathrm{2}\sqrt{{x}}}\right)}{\left(\mathrm{1}−\sqrt{{x}}\right)^{\mathrm{2}} } \\…
Question Number 170265 by Mastermind last updated on 19/May/22 $${without}\:{using}\:{calculator}\:{find}\:{the}\: \\ $$$${value}\:{of}\:\left(\mathrm{2}.\mathrm{7}\right)^{−\mathrm{2}.\mathrm{079}} \:? \\ $$$$ \\ $$$${Mastermind} \\ $$ Commented by Mastermind last updated on…
Question Number 39172 by Rio Mike last updated on 03/Jul/18 $${find}\:{the}\:{angle}\:{between}\: \\ $$$$\mathrm{3}{i}\:−\:\mathrm{4}{j}\:{and}\:{i}\:−\:{j} \\ $$ Commented by math khazana by abdo last updated on 03/Jul/18…
Question Number 39173 by Rio Mike last updated on 03/Jul/18 $${Given}\:{that}\:{A}\:{and}\:{B}\:{are}\:{two} \\ $$$${independent}\:{Events}\: \\ $$$${where}\:{P}\left({A}\right)\:=\:\frac{\mathrm{4}}{\mathrm{5}}\:{and}\: \\ $$$${P}\left({A}\:\cup\:{B}\right)\:=\:\frac{\mathrm{13}}{\mathrm{5}}\:. \\ $$$$\left.{find}\:{a}\right)\:{P}\left({A}\cap{B}\right) \\ $$$$\left.\:\:\:\:\:\:\:\:\:{b}\right)\:{P}\left({A}\mid{B}\right). \\ $$$${hence}\:{draw}\:{tree}\:{Diagram} \\ $$$${for}\:{each}\:{posible}\:{out}\:{come}…
Question Number 39171 by Rio Mike last updated on 03/Jul/18 $${Given}\:{that}\: \\ $$$${y}\:=\:\mathrm{3}{x}^{\mathrm{4}} \:{and}\:{x}\:{increases} \\ $$$${at}\:{the}\:{rate}\:{of}\:\mathrm{34\%}\:. \\ $$$${find}\:{the}\:{percentage}\:{increase} \\ $$$${in}\:{y}. \\ $$$$\left[{hint}:\:{using}\:{Bionomial}\:\right. \\ $$$$\left.{method}\right] \\…
Question Number 39170 by Rio Mike last updated on 03/Jul/18 $${Find}\:{the}\:{value}\:{of}\:{k}\:{if}\: \\ $$$$\frac{{d}}{{dx}}\left({f}\left({x}\right)\right)=\:\mathrm{6}\:{when}\:{x}\:=\:−\mathrm{1}\: \\ $$$${and}\:{f}\left({x}\right)\:=\:\mathrm{3}{x}^{\mathrm{3}} \:−\:{kx}^{\mathrm{2}} \:+\:\mathrm{1}\: \\ $$$${if}\:{f}\left(\mathrm{2}\right)\:=\:\mathrm{8}\:{find}\:{one}\:{factor}\:{of} \\ $$$${f}\left({x}\right)\:{and}\:{hence}\:{Evaluate} \\ $$$$\underset{{x}\rightarrow\infty} {{lim}}\left({f}\left({x}\right)\right). \\…
Question Number 39166 by Rio Mike last updated on 03/Jul/18 $${Find}\:{the}\:{value}\:{of}\:{k}\:{if} \\ $$$$\left(\mathrm{2},{k}\right)\:,\left(\mathrm{3},\mathrm{4}\right)\:{and}\:\left(\mathrm{6},\mathrm{4}\right)\:{are} \\ $$$${collinear}. \\ $$$${hence}\:{find}\:{the}\:{equation}\:{on} \\ $$$${the}\:{line}\:\mathrm{3}{i}\:−\:{j}\:{with}\:{the}\:{above} \\ $$$${points} \\ $$ Commented by…
Question Number 104692 by 175mohamed last updated on 23/Jul/20 Answered by OlafThorendsen last updated on 23/Jul/20 $$\mathrm{Car}\cup\mathrm{Bus}\:=\:\mathrm{Car}\oplus\mathrm{Bus}−\mathrm{Car}\cap\mathrm{Bus} \\ $$$$\mathrm{Car}\cup\mathrm{Bus}\:=\:\mathrm{20}+\mathrm{50}−\mathrm{10}\:=\:\mathrm{60\%} \\ $$$$\mathrm{and}\:\mathrm{Car}\cup\mathrm{Bus}−\mathrm{Car}\cap\mathrm{Bus}\:=\:\mathrm{60}−\mathrm{10}\:=\:\mathrm{50\%} \\ $$$$\mathrm{Car}\:=\:\mathrm{20\%} \\ $$$$\mathrm{Bus}\:=\:\mathrm{50\%}…
Question Number 39144 by Rio Mike last updated on 03/Jul/18 $${f}\left({x}\right)\:=\:\mathrm{3}{x}^{\mathrm{3}} \:−\:\mathrm{2}{x}\:+\:{k}\:{has}\: \\ $$$${factor}\:\left({x}\:−\:\mathrm{1}\right)\:\: \\ $$$${find}\:{the}\:{value}\:{of}\:{k}. \\ $$$${with}\:{these}\:{value}\: \\ $$$${evaluate} \\ $$$$\left.{a}\right)\:\frac{{d}}{{dx}\:}\left({f}\left({x}\right)_{} \right) \\ $$$$\left.{b}\right)\:\int_{\mathrm{5}}…