Question Number 193161 by Mingma last updated on 05/Jun/23 Answered by a.lgnaoui last updated on 05/Jun/23 $$\mathrm{Triangle}\:\mathrm{ABC}\:\:\mathrm{equilaterale}\: \\ $$$$\boldsymbol{\mathrm{MN}}=\boldsymbol{\mathrm{NP}}=\boldsymbol{\mathrm{MP}} \\ $$$$\measuredangle\mathrm{BAH}=\mathrm{60}=\measuredangle\mathrm{DAH} \\ $$$$\Rightarrow\:\measuredangle\mathrm{ADH}=\mathrm{30}°\:\:\:\measuredangle\mathrm{AMN}=\mathrm{90}−\mathrm{30}=\mathrm{60} \\ $$$$\mathrm{MNP}\:\:\:\mathrm{Triangle}\:\mathrm{equilaterale}…
Question Number 193099 by Mingma last updated on 04/Jun/23 Answered by som(math1967) last updated on 04/Jun/23 Commented by som(math1967) last updated on 04/Jun/23 $$\:{b}^{\mathrm{2}} =\frac{\mathrm{16}}{\:\sqrt{\mathrm{3}}}\:\:,\:\:{c}^{\mathrm{2}}…
Question Number 193162 by ajfour last updated on 05/Jun/23 Commented by ajfour last updated on 05/Jun/23 $${Determine}\:\:\frac{{r}}{{R}}\:\:{in}\:{terms}\:{of}\:\mathrm{0}<{m}<\mathrm{1}. \\ $$ Commented by York12 last updated on…
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Question Number 193154 by wizzy1 last updated on 04/Jun/23 Commented bywizzy1 last updated on 04/Jun/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131071 by mr W last updated on 01/Feb/21 Commented by mr W last updated on 01/Feb/21 $${a}\:{small}\:{ball}\:{of}\:{mass}\:{m}\:{is}\:{fixed}\:{on} \\ $$$${the}\:{inner}\:{wall}\:{of}\:{a}\:{hollow}\:{cylinder} \\ $$$${of}\:{radius}\:{R}\:{and}\:{mass}\:{M}. \\ $$$${the}\:{cylinder}\:{is}\:{released}\:{from}\:{rest}…
Question Number 131068 by EDWIN88 last updated on 01/Feb/21 $$\:\int\:\mathrm{sin}\:^{\mathrm{2}} {x}\:\mathrm{cos}\:\mathrm{4}{x}\:{dx}\:=?\: \\ $$ Answered by Ar Brandon last updated on 01/Feb/21 $$\mathcal{I}=\int\mathrm{sin}^{\mathrm{2}} \mathrm{xcos4xdx}=\frac{\mathrm{1}}{\mathrm{2}}\int\left(\mathrm{1}+\mathrm{cos2x}\right)\mathrm{cos4xdx} \\ $$$$\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\int\left[\mathrm{cos4x}+\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{cos6x}+\mathrm{cos2x}\right)\right]\mathrm{dx}…
Question Number 131064 by shaker last updated on 01/Feb/21 Answered by Dwaipayan Shikari last updated on 01/Feb/21 $$\frac{\mathrm{1}}{\mathrm{4}}\int\frac{\mathrm{1}}{{x}}\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} }−\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{4}}\right){dx} \\ $$$$=−\frac{\mathrm{1}}{\mathrm{8}{x}^{\mathrm{2}} }−\frac{\mathrm{1}}{\mathrm{16}}\int\frac{\mathrm{1}}{{x}}−\frac{{x}}{{x}^{\mathrm{2}} +\mathrm{4}}{dx} \\…
Question Number 131062 by benjo_mathlover last updated on 01/Feb/21 $$\mathrm{You}\:\mathrm{flip}\:\mathrm{two}\:\mathrm{fair}\:\mathrm{six}−\mathrm{sidded}\:\mathrm{dice}\:\mathrm{and}\:\mathrm{add} \\ $$$$\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{spots}.\:\mathrm{what}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{getting} \\ $$$$\mathrm{a}\:\mathrm{number}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{2}\:\mathrm{but}\:\mathrm{not}\:\mathrm{by}\:\mathrm{5}\:? \\ $$ Answered by EDWIN88 last updated on 01/Feb/21 $${Write}\:{L}_{{n}} \:{for}\:{even}\:{the}\:{number}\:{is}…
Question Number 131058 by pipin last updated on 01/Feb/21 $$\int\frac{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{5}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{6}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{7}\right)}\:\mathrm{dx}\: \\ $$ Answered by MJS_new last updated on 01/Feb/21…