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Author: Tinku Tara

In-the-I-park-50-of-the-schools-students-80-in-the-II-park-90-has-partic-pated-in-the-III-park-160-students-have-partic-pated-in-all-3-parks-the-rest-have-partic-pated-in-2-park-How-many-stude

Question Number 129271 by MathSh last updated on 14/Jan/21 $${In}\:{the}\:{I}\:{park}\:\mathrm{50\%}\:{of}\:{the}\:{schools} \\ $$$${students},\:\mathrm{80\%}\:{in}\:{the}\:{II}\:{park}, \\ $$$$\mathrm{90\%}\:{has}\:{partic}\imath{pated}\:{in}\:{the}\:{III}\:{park}. \\ $$$$\mathrm{160}\:{students}\:{have}\:{partic}\imath{pated}\:{in} \\ $$$${all}\:\mathrm{3}\:{parks},\:{the}\:{rest}\:{have} \\ $$$${partic}\imath{pated}\:{in}\:\mathrm{2}\:{park}. \\ $$$${How}\:{many}\:{students}\:{are}\:{there}\:{in} \\ $$$${the}\:{school}\:?\: \\…

1-s-2-2s-5-2-find-inverse-laplace-

Question Number 129268 by BHOOPENDRA last updated on 14/Jan/21 $$\frac{\mathrm{1}}{\left({s}^{\mathrm{2}} +\mathrm{2}{s}+\mathrm{5}\right)^{\mathrm{2}} }\:{find}\:{inverse}\:{laplace} \\ $$ Answered by mnjuly1970 last updated on 14/Jan/21 $$\:\mathscr{F}\left({s}\right)=\frac{\mathrm{1}}{\left(\left({s}+\mathrm{1}\right)^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} \right)^{\mathrm{2}} }…

1-a-4-x-k-x-1-4a-3-Find-the-value-of-1-a-1-x-1-dx-

Question Number 129269 by bramlexs22 last updated on 14/Jan/21 $$\:\int_{\mathrm{1}} ^{{a}} \:\frac{\mathrm{4}\sqrt{{x}}\:+{k}}{\:\sqrt{{x}}\:+\mathrm{1}}\:=\:\mathrm{4}{a}+\mathrm{3}\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\int_{\mathrm{1}} ^{\:{a}} \frac{\mathrm{1}}{\:\sqrt{{x}}\:+\mathrm{1}}\:{dx}\:. \\ $$ Answered by liberty last updated on 14/Jan/21…

1-calculate-x-2-x-2-x-2-x-1-dx-2-find-the-value-of-0-1-x-2-x-2-x-2-x-1-dx-

Question Number 63722 by mathmax by abdo last updated on 08/Jul/19 $$\left.\mathrm{1}\right)\:{calculate}\:\int\:\left({x}^{\mathrm{2}} −{x}+\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{\mathrm{2}} −{x}+\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} −{x}\:+\mathrm{1}}{dx}\:. \\ $$ Commented by Prithwish…

calculate-dx-x-1-2-x-

Question Number 63721 by mathmax by abdo last updated on 08/Jul/19 $${calculate}\:\int\:\:\frac{{dx}}{\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{2}−{x}\right)}} \\ $$ Commented by Prithwish sen last updated on 08/Jul/19 $$\mathrm{put}\:\mathrm{x}−\mathrm{l}\:=\:\mathrm{z}^{\mathrm{2}} \:\:\:\Rightarrow\mathrm{dx}\:=\:\mathrm{2zdz} \\…

calculate-x-3-2-x-dx-

Question Number 63720 by mathmax by abdo last updated on 08/Jul/19 $${calculate}\:\int\sqrt{\left({x}−\mathrm{3}\right)\left(\mathrm{2}−{x}\right)}{dx} \\ $$ Commented by Prithwish sen last updated on 08/Jul/19 $$\int\sqrt{−\mathrm{x}^{\mathrm{2}} +\mathrm{5x}\:−\mathrm{6}}\:\mathrm{dx}\:\:=\:\int\sqrt{\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} −\left(\mathrm{x}−\frac{\mathrm{5}}{\mathrm{2}}\right)^{\mathrm{2}}…