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Question-106379

Question Number 106379 by Algoritm last updated on 04/Aug/20 Answered by mr W last updated on 04/Aug/20 $$\frac{{x}^{\mathrm{2}} }{\mathrm{1}−{x}}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{x}^{{n}+\mathrm{1}} \:\:{for}\:\mid{x}\mid<\mathrm{1} \\ $$$$\frac{\mathrm{2}{x}}{\mathrm{1}−{x}}+\frac{{x}^{\mathrm{2}} }{\left(\mathrm{1}−{x}\right)^{\mathrm{2}}…

a-fource-f-facts-on-a-body-of-mass-t-2-kg-and-it-s-momentum-was-t-2-6t-8-kg-m-sec-what-is-the-average-power-in-the-first-3-seconds-

Question Number 171906 by ali009 last updated on 23/Jun/22 $${a}\:{fource}\:{f}\:{facts}\:{on}\:{a}\:{body}\:{of}\:{mass} \\ $$$$\left({t}+\mathrm{2}\right){kg}\:{and}\:{it}'{s}\:{momentum}\:{was} \\ $$$$\left({t}^{\mathrm{2}} +\mathrm{6}{t}+\mathrm{8}\right)\:{kg}\:.\:{m}/\:{sec} \\ $$$$\:{what}\:{is}\:{the}\:{average}\:{power}\:{in}\:{the} \\ $$$${first}\:\mathrm{3}\:{seconds} \\ $$ Terms of Service Privacy…

Question-106302

Question Number 106302 by mathdave last updated on 04/Aug/20 Answered by bemath last updated on 04/Aug/20 $$\mathrm{x}\:=\:\mathrm{sin}\:\flat\:\Rightarrow\:\int\:\frac{\mathrm{cos}\:\flat\:\mathrm{d}\flat}{\mathrm{sin}\:^{\mathrm{2}} \flat\:\mathrm{cos}\:\flat}\:= \\ $$$$\int\:\mathrm{csc}^{\mathrm{2}} \:\flat\:\mathrm{d}\flat\:=\:−\int\:\mathrm{d}\left(\mathrm{cot}\:\flat\right)\: \\ $$$$=\:−\mathrm{cot}\:\flat\:+\:\mathrm{C}\:=\:−\frac{\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }}{\mathrm{x}}\:+\:\mathrm{C}\: \\…

Question-106303

Question Number 106303 by mathdave last updated on 04/Aug/20 Answered by mathmax by abdo last updated on 05/Aug/20 $$\mathrm{A}\:=\int_{\mathrm{0}} ^{\sqrt{\mathrm{3}}} \frac{\mathrm{1}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{arcsin}\left(\frac{\mathrm{2x}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\right)\mathrm{dx}\:\:\mathrm{wedo}\:\mathrm{the}\:\mathrm{changement}\:\mathrm{x}\:=\mathrm{tan}\left(\frac{\mathrm{t}}{\mathrm{2}}\right) \\ $$$$\Rightarrow\:\mathrm{A}\:=\int_{\mathrm{0}}…