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Question Number 170624 Answers: 0 Comments: 7
Question Number 170623 Answers: 2 Comments: 0
Question Number 170610 Answers: 1 Comments: 0
Question Number 170683 Answers: 0 Comments: 0
$${l}'{union}\:{d}'{un}\:{ferme}\:{et}\:{d}'{un}\:{borne}\:{est}-{il} \\ $$$${compacte}?\:{quand}\:{est}-{il}\:{de}\:{l}'{intersection}. \\ $$
Question Number 170608 Answers: 0 Comments: 0
Question Number 170601 Answers: 2 Comments: 1
Question Number 170590 Answers: 0 Comments: 1
Question Number 170588 Answers: 0 Comments: 0
Question Number 170584 Answers: 0 Comments: 20
Question Number 170580 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:{calculate} \\ $$$$\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\:\mathrm{F}_{{n}} }{{n}.\mathrm{3}^{\:{n}} }\:=\:?\:\:\: \\ $$$$ \\ $$
Question Number 170579 Answers: 0 Comments: 0
$$ \\ $$$$\:\:\:{prove} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\mathrm{1}}{\:\:\mathrm{F}_{{n}} }\:<\:\mathrm{4}\:\:\:\:\:\:\mathrm{F}_{{n}} :\:{fibonacci}\:{sequence} \\ $$
Question Number 170576 Answers: 0 Comments: 2
Question Number 170593 Answers: 2 Comments: 1
Question Number 170578 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \sqrt{{x}}\:{sin}^{\:−\mathrm{1}} \left(\:{x}\:\right){dx}\:=\:? \\ $$$$ \\ $$
Question Number 170572 Answers: 1 Comments: 0
Question Number 170568 Answers: 1 Comments: 0
Question Number 170566 Answers: 2 Comments: 0
$$\:\:\mathrm{Find}\:\mathrm{min}\:\mathrm{value}\: \\ $$$$\:\:{f}\left({x}\right)=\:\left({x}+\mathrm{4}\right)\left({x}+\mathrm{5}\right)\left({x}+\mathrm{6}\right)\left({x}+\mathrm{7}\right) \\ $$
Question Number 170565 Answers: 1 Comments: 0
Question Number 170563 Answers: 0 Comments: 0
Question Number 170552 Answers: 1 Comments: 1
Question Number 170551 Answers: 2 Comments: 0
Question Number 170550 Answers: 0 Comments: 0
Question Number 170549 Answers: 1 Comments: 0
$$\int_{\mathrm{0}} ^{\mathrm{1}} {xarctan}^{\mathrm{6}} {x}\:{dx}=? \\ $$
Question Number 170547 Answers: 0 Comments: 0
$$\underset{\mathrm{x}\rightarrow+\infty} {\mathrm{lim}}\sqrt[{\mathrm{3}}]{\mathrm{x}}\int_{\mathrm{x}} ^{\mathrm{x}+\mathrm{1}} \frac{\mathrm{sin}\:\mathrm{t}}{\:\sqrt{\mathrm{t}+\mathrm{cos}\:\mathrm{t}}}\mathrm{dt}=? \\ $$
Question Number 170546 Answers: 1 Comments: 0
$${Solve}:{quadratic}\:{equation}\:{about}\:{t}: \\ $$$$\mathrm{1}.\mathrm{h}=\mathrm{v}_{\mathrm{0}} \mathrm{t}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}^{\mathrm{2}} ,\mathrm{2}.\mathrm{x}=\mathrm{v}_{\mathrm{0}} \mathrm{t}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{at}^{\mathrm{2}} \\ $$$$\mathrm{solve}\:\mathrm{v}:{v}^{\mathrm{2}} −{v}_{\mathrm{0}} ^{\mathrm{2}} =\mathrm{2}{ax} \\ $$
Question Number 170545 Answers: 0 Comments: 1
$$\:\:\:\:{please}\:{help}\:{me}\:{to}\:{find}\:{this}. \\ $$$$\:\:\:{a}=\:\int\int_{{D}} \frac{{ydxdy}}{{a}^{\mathrm{2}} +{x}^{\mathrm{2}} }\:{D}:\left\{{x}\geqslant\mathrm{0}.{y}\geqslant\mathrm{0}.{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant{a}^{\mathrm{2}} \right\} \\ $$$$\:\:\:{b}=\int\int\int_{{v}} \left({x}−{y}+{z}\right)^{\mathrm{2}} {dxdydz} \\ $$$$\:\:{v}:\left\{{x}=\mathrm{0}.{y}=\mathrm{0}.{z}=\mathrm{0}\:{x}+{z}=\mathrm{1}.{y}+{z}=\mathrm{1}\right\} \\ $$$$\:\:\:\:{c}=\int\int\int_{{V}} {xydxdydz} \\ $$$$\:\:\:\:\:\:\:\:{V}:\left\{\mathrm{0}\leqslant{z}\leqslant\mathrm{1}.\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant{z}^{\mathrm{2}} \right\} \\ $$
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