Question Number 73428 by Learner-123 last updated on 12/Nov/19 $${Evaluate}\:: \\ $$$$\left.\mathrm{1}\right)\:\int_{−\mathrm{2}} ^{\:\mathrm{2}} \int_{−\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }} ^{\:\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }} \:\left(\mathrm{3}−{x}\right){dydx}\:. \\ $$$$\left({after}\:{changing}\:{the}\:{integral}\:{to}\:{polar}\:{form}\right). \\ $$$$ \\ $$$$\left.\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\mathrm{4}}…
Question Number 73429 by Henri Boucatchou last updated on 12/Nov/19 $$\:\:\:{Solve}\::\:\int\frac{\left[{cos}^{−\mathrm{1}} {x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right]^{−\mathrm{1}} }{{log}_{{e}} \left[\mathrm{2}+\frac{{sin}\left(\mathrm{2}{x}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right)}{\pi}\right]}{dx} \\ $$$$\:\:{Evaluate}\:\:\int_{−\pi/\mathrm{2}} ^{\:\pi/\mathrm{2}} {sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}\left({cosx}+{sinx}\right){dx} \\ $$ Commented…
Question Number 138960 by Dwaipayan Shikari last updated on 20/Apr/21 $${X}\:{and}\:{Y}\:{stand}\:{in}\:{a}\:{line},\:{at}\:{random}\:{with}\:\mathrm{10}\:{other}\:{peoples}. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{there}\:{will}\:{be}\:{exactly}\:\mathrm{4}\:{persons}\: \\ $$$${between}\:{X}\:{and}\:{Y}? \\ $$ Commented by mr W last updated on 20/Apr/21…
Question Number 7887 by tawakalitu last updated on 23/Sep/16 $${Find}\:{the}\:{first}\:{four}\:{terms}\:{of}\:{the}\:{power}\:{series}\: \\ $$$${expansion}\:{of}\:\:\:\:\:\frac{{sinx}}{\mathrm{1}\:−\:{x}}\:\:\: \\ $$ Answered by sandy_suhendra last updated on 23/Sep/16 $${from}\:{the}\:{power}\:{series}\:: \\ $$$${sin}\:{x}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty}…
Question Number 138959 by mathlove last updated on 20/Apr/21 Answered by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{a}^{\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \:=\mathrm{e}^{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{loga}} \:\sim\mathrm{1}+\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{loga}\:\mathrm{and} \\…
Question Number 7884 by uchechukwu okorie favour last updated on 23/Sep/16 $${pls}\:{help}\:{me}\:{solve}\:{this}\:{chemistry} \\ $$$${question}: \\ $$$${Considering}\:{a}\:{general}\:{equilibrium} \\ $$$${equation}: \\ $$$${mA}_{\left({g}\right)} +{nB}_{\left({g}\right)} \leftrightharpoons{xC}_{\left({g}\right)\:\:} +{yD}_{\left({g}\right)} \\ $$$${where}\:{m},{n},{x}\:{and}\:{y}\:{are}\:{the}\:…
Question Number 7883 by 314159 last updated on 23/Sep/16 $${Let}\:{a},{b},{c}\:{be}\:{the}\:{lengths}\:{of}\:{the}\:{sides}\:{of}\:{a}\:{triangle}. \\ $$$${Show}\:{that}\:{abc}\geqslant\left({a}+{b}−{c}\right)\left({b}+{c}−{a}\right)\left({c}+{a}−{b}\right). \\ $$ Commented by sou1618 last updated on 23/Sep/16 $$ \\ $$$${x}={a}+{b}−{c}>\mathrm{0} \\…
Question Number 7881 by Rasheed Soomro last updated on 23/Sep/16 $${A}\:{gets}\:\mathrm{1}/\mathrm{5}\:\:{of}\:\:{some}\:\:{amount}, \\ $$$${B}\:\:{gets}\:\mathrm{1}/\mathrm{3}\:\:{of}\:\:{remaining},\:{C} \\ $$$${gets}\:\mathrm{1}/\mathrm{6}\:{of}\:{remaining},\:{D}\:{gets} \\ $$$$\mathrm{1}/\mathrm{7}\:\:{of}\:\:{remaining}\:\:{and}\:{E}\:{gets} \\ $$$${rest}\:{of}\:{amount}.\:{What}\:{fraction} \\ $$$${gets}\:{E}\:? \\ $$ Commented by…
Question Number 7880 by tawakalitu last updated on 22/Sep/16 $$\int\left(\sqrt{\mathrm{1}\:−\:{x}\:−\:{x}^{\mathrm{2}} }\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138948 by mohammad17 last updated on 20/Apr/21 Commented by mohammad17 last updated on 20/Apr/21 $${hwo}\:{can}\:{help}\:{me}\: \\ $$ Commented by mohammad17 last updated on…