Question Number 16464 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 22/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 22/Jun/17 $${A}\overset{\Delta} {{B}C},{is}\:{equilateral}\:{and}\:'{K}'\:{is}\:{a}\:{point} \\ $$$${on}\:{circumcircle}\:\:{of}\:{it}.{draw}\:{KH},{KJ},{KL} \\ $$$${parallel}\:{to}\:{ABC}'{s}\:{sides}\:{as}\:{showen}. \\ $$$$\left.\mathrm{1}\right){prove}\:{that}: \\…
Question Number 147535 by tabata last updated on 21/Jul/21 Commented by tabata last updated on 21/Jul/21 $${prove}\:{that} \\ $$ Answered by mathmax by abdo last…
Question Number 81996 by msup trace by abdo last updated on 17/Feb/20 $${calculate}\:{I}_{{n}} =\int\int_{\left[\frac{\mathrm{1}}{{n}},{n}\left[\right.\right.} \:\:{e}^{−{x}^{\mathrm{2}} −\mathrm{3}{y}^{\mathrm{2}} } {dxdy} \\ $$$${and}\:{find}\:{lim}_{{n}\rightarrow+\infty} \:\:{I}_{{n}} \\ $$$${conclude}\:{that}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}^{\mathrm{2}}…
Question Number 147529 by mathdanisur last updated on 21/Jul/21 $${if}\:\:\:{a}_{\boldsymbol{{n}}+\mathrm{1}} \:=\:\sqrt{{a}_{\mathrm{1}} \:+\:{a}_{\boldsymbol{{n}}} } \\ $$$${find}\:\:\underset{\boldsymbol{{x}}\rightarrow\infty} {{lim}a}_{\boldsymbol{{n}}} \:=\:? \\ $$ Commented by mathdanisur last updated on…
Question Number 81994 by msup trace by abdo last updated on 17/Feb/20 $${calculate}\:\int\int_{{W}} \left({x}+{y}\right){e}^{{x}−{y}} {dxdy} \\ $$$${with}\:{W}\:{is}\:{the}\:{triangle}\:{limited}\:{by} \\ $$$${o},{A}\left(\mathrm{1},\mathrm{0}\right){and}\:{B}\left(\mathrm{0},\mathrm{1}\right) \\ $$ Terms of Service Privacy…
Question Number 147528 by alcohol last updated on 21/Jul/21 $${q}_{{n}} =\underset{{n}=\mathrm{0}} {\overset{\infty} {\prod}}{cos}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right) \\ $$$$\left.{i}\right)\:{study}\:{the}\:{variation}\:{of}\:{q}_{{n}} \\ $$$$\left.{ii}\right) \\ $$$$\:{show}\:{that}\:{cosx}=\frac{{sin}\mathrm{2}{x}}{\mathrm{2}{sinx}}\:,\:\forall{x}\in\left[\mathrm{0},\frac{\pi}{\mathrm{2}}\right] \\ $$$$\left.{iii}\right) \\ $$$${deduce}\:{that}\:{q}_{{n}} =\frac{\mathrm{1}}{\mathrm{2}^{{n}+\mathrm{1}}…
Question Number 16457 by Tinkutara last updated on 22/Jun/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:{f}\left({x}\right)\:=\:\frac{\mathrm{3}}{\mathrm{2}\:−\:{x}^{\mathrm{2}} } \\ $$ Answered by sandy_suhendra last updated on 22/Jun/17 $$\mathrm{y}\:=\:\frac{\mathrm{3}}{\mathrm{2}−\mathrm{x}^{\mathrm{2}} } \\ $$$$\mathrm{y}\left(\mathrm{2}−\mathrm{x}^{\mathrm{2}} \right)=\mathrm{3}…
Question Number 81993 by msup trace by abdo last updated on 17/Feb/20 $${calculate}\:\int\int_{{D}} {ln}\left(\mathrm{1}+{x}+{y}\right){dxdy} \\ $$$${with}\:{D}\:{is}\:{the}\:{triangle}\:{limited}\:{by} \\ $$$${points}\:\mathrm{0},{A}\left(\mathrm{1},\mathrm{0}\right)\:{and}\:{B}\left(\mathrm{0},\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy…
Question Number 16455 by Tinkutara last updated on 22/Jun/17 $$\mathrm{The}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{a}\:\mathrm{projectile}\:\mathrm{when}\:\mathrm{it}\:\mathrm{is}\:\mathrm{at} \\ $$$$\mathrm{its}\:\mathrm{greatest}\:\mathrm{height}\:\mathrm{is}\:\sqrt{\frac{\mathrm{2}}{\mathrm{5}}}\:\mathrm{times}\:\mathrm{its} \\ $$$$\mathrm{speed}\:\mathrm{at}\:\mathrm{half}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{height}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{its}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{projection}? \\ $$ Answered by sandy_suhendra last updated on 23/Jun/17…
Question Number 147524 by SLVR last updated on 21/Jul/21 Commented by SLVR last updated on 21/Jul/21 $${kindly}\:{help} \\ $$ Commented by Rasheed.Sindhi last updated on…