Question Number 23939 by Mayor Tee last updated on 10/Nov/17 $${In}\:{a}\:{school}\:{of}\:\mathrm{500}\:{students},\mathrm{150}\:{played}\:{hockey} \\ $$$$\mathrm{250}\:{played}\:{football},\mathrm{120}\:{played}\:{table}\:{tennis}\:{and} \\ $$$$\mathrm{100}\:{played}\:{one}\:{of}\:{the}\:{three}\:{games}.{If}\:\mathrm{50}\: \\ $$$${played}\:{both}\:{hockey}\:{and}\:{football},{how}\:{many} \\ $$$${played}\:{table}\:{tennis}\:{only}?{pls}\:{show}\:{workings}\:{with} \\ $$$${diagram} \\ $$$$ \\ $$…
Question Number 154992 by ZiYangLee last updated on 24/Sep/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of}\: \\ $$$$\mathrm{cos}\:\mathrm{2}\theta\:+\mathrm{cos}\:\theta\:=\:\mathrm{sin}\:\theta \\ $$ Answered by john_santu last updated on 24/Sep/21 Commented by ZiYangLee last…
Question Number 154987 by tabata last updated on 24/Sep/21 $$\int_{\mathrm{0}} ^{\:\infty} \:\frac{{x}^{{c}} }{{c}^{{x}} }\:\:{dx} \\ $$ Commented by talminator2856791 last updated on 24/Sep/21 $$\:\mathrm{the}\:\mathrm{integral}\:\mathrm{diverges}\:\mathrm{for}\:{c}\:\in\:\left(\mathrm{0},\mathrm{1}\right)\: \\…
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Question Number 154972 by Rankut last updated on 23/Sep/21 $${if}\:{in}\:{a}\:{triangle}\:{ABC},\:{A}\:{and}\:{B} \\ $$$${are}\:{complementry},\:{then}\:{tanC}\:{is}….? \\ $$ Commented by mr W last updated on 23/Sep/21 $${A}+{B}=\mathrm{90}° \\ $$$${C}=\mathrm{180}°−\left({A}+{B}\right)=\mathrm{90}°…
Question Number 89422 by naka3546 last updated on 17/Apr/20 Commented by jagoll last updated on 17/Apr/20 $${f}\left({x}\right)\:=\:\left({x}+\mathrm{2}\right)\left({x}+\mathrm{1}\right) \\ $$$${f}\left({A}\right)\:=\:\left({A}+\mathrm{2}{I}\right)\left({A}+{I}\right)\: \\ $$$$ \\ $$ Answered by…
Question Number 89399 by mathocean1 last updated on 17/Apr/20 $$\mathrm{Hi}. \\ $$$$\mathrm{A}\:\mathrm{ballot}\:\mathrm{box}\:\mathrm{contains}\:\mathrm{3}\:\mathrm{red}\:\mathrm{balls},\:\mathrm{4}\:\mathrm{blues} \\ $$$$\mathrm{balls}\:\mathrm{and}\:\mathrm{5}\:\mathrm{white}\:\mathrm{balls}. \\ $$$$\mathrm{we}\:\mathrm{draw}\:\mathrm{successively}\:\mathrm{3}\:\mathrm{balls}\:\mathrm{in}\:\mathrm{ballot}\:\mathrm{box}\: \\ $$$$\mathrm{by}\:\mathrm{re}−\mathrm{puting}\:\mathrm{the}\:\mathrm{drawn}\:\mathrm{balls}. \\ $$$$\left.\mathrm{1}\right)\mathrm{Calculate}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{draws}\: \\ $$$$\mathrm{containing}\:\mathrm{one}\:\mathrm{ball}\:\mathrm{of}\:\mathrm{each}\:\mathrm{color}. \\ $$ Commented…
Question Number 154907 by ZiYangLee last updated on 23/Sep/21 $$\int_{\mathrm{2}} ^{\:\mathrm{8}} \:{e}^{\mathrm{2}{x}} \:\mathrm{cos}^{\mathrm{2}} {x}\:{dx}=? \\ $$ Commented by 7770 last updated on 23/Sep/21 $$ \\…
Question Number 154902 by SANOGO last updated on 23/Sep/21 $$\int_{\mathrm{0}} ^{\frac{\mathrm{3}}{\mathrm{2}}} {E}\left({x}^{\mathrm{2}} \right){dx} \\ $$ Commented by puissant last updated on 24/Sep/21 $${I}=\mathrm{2}−\sqrt{\mathrm{2}}.. \\ $$…
Question Number 154880 by saly last updated on 22/Sep/21 Answered by Ar Brandon last updated on 22/Sep/21 $${I}_{\mathrm{1}} =\int\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{9}}}{{x}^{\mathrm{3}} }{dx},\:{x}=\mathrm{3sh}\vartheta \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{3}}\int\frac{\mathrm{ch}^{\mathrm{2}} \vartheta}{\mathrm{sh}^{\mathrm{3}} \vartheta}{d}\vartheta=\frac{\mathrm{1}}{\mathrm{3}}\int\mathrm{cth}^{\mathrm{2}}…