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AllQuestion and Answers: Page 669
Question Number 148467 Answers: 2 Comments: 0
Question Number 148466 Answers: 2 Comments: 0
$$\mathrm{xdx}+\mathrm{ydy}=\mathrm{xdy}−\mathrm{ydx} \\ $$
Question Number 148454 Answers: 2 Comments: 0
$${sin}^{\mathrm{6}} \boldsymbol{\alpha}\:+\:{co}^{\mathrm{6}} \boldsymbol{\alpha}\:=\:\frac{\mathrm{3}}{\mathrm{4}}\:\:\Rightarrow\:\:\mathrm{6}{cos}\mathrm{4}\boldsymbol{\alpha}=? \\ $$$$ \\ $$
Question Number 148453 Answers: 3 Comments: 0
$$\frac{\left({n}\:+\:\mathrm{1}\right)!}{{n}!}\:=\:\mathrm{38}\:\:\Rightarrow\:\:{n}=? \\ $$
Question Number 148452 Answers: 2 Comments: 0
$$\underset{\:\mathrm{1}} {\overset{\:\mathrm{4}} {\int}}\mathrm{2}{sin}^{\mathrm{2}} {x}\:{dx}\:+\:\underset{\:\mathrm{1}} {\overset{\:\mathrm{4}} {\int}}\left(\mathrm{1}+{cos}\mathrm{2}{x}\right){dx}\:=\:? \\ $$
Question Number 148447 Answers: 1 Comments: 0
$$\mathrm{sin}\left({x}\right)={a},\:{a}\in \\ $$
Question Number 148446 Answers: 0 Comments: 2
$$\mathrm{Soit}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{et}\:\alpha\:\mathrm{4}\:\mathrm{nombres}\:\mathrm{rationnels} \\ $$$$\mathrm{telque}\:\sqrt[{\mathrm{3}}]{\alpha}\:\mathrm{est}\:\mathrm{irrationnel}.. \\ $$$$\mathrm{Demontrer}\:\mathrm{que}\:: \\ $$$$\left(\mathrm{a}\sqrt[{\mathrm{3}}]{\alpha}+\mathrm{b}\sqrt[{\mathrm{3}}]{\alpha}=\mathrm{c}\right)\:\Rightarrow\:\left(\mathrm{a}=\mathrm{b}=\mathrm{c}\right).. \\ $$
Question Number 148445 Answers: 1 Comments: 3
$${if}\:\:\:{cos}\boldsymbol{\alpha}\:=\:\sqrt{\boldsymbol{{a}}} \\ $$$${find}\:\:\:\mathrm{5}\:-\:\mathrm{6}{cos}\mathrm{2}\boldsymbol{\alpha}\:+\:{cos}\mathrm{4}\boldsymbol{\alpha}\:=\:? \\ $$
Question Number 148443 Answers: 0 Comments: 0
$${Can}\:{i}\:{use}\:{this}\:{app}\:\:{on}\:{PC} \\ $$$${to}\:{tinkutara} \\ $$
Question Number 148441 Answers: 0 Comments: 0
$$\underset{\mathrm{k}=\mathrm{1}} {\overset{\infty} {\sum}}\underset{\mathrm{m}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{n}\left(\mathrm{m}−\mathrm{1}\right)}{\left(\mathrm{nk}+\mathrm{m}−\mathrm{1}\right)\left(\mathrm{nk}+\mathrm{m}\right)}=? \\ $$
Question Number 148439 Answers: 3 Comments: 0
$$\:\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{x}+\mathrm{2}}\:\sqrt[{\mathrm{3}}]{\mathrm{x}+\mathrm{6}}−\mathrm{x}^{\mathrm{2}} }{\mathrm{x}−\mathrm{2}}\:=? \\ $$
Question Number 148483 Answers: 1 Comments: 0
$$\mathrm{Soit}\:\mathrm{f}\:\mathrm{une}\:\mathrm{fonction}\:\mathrm{continu}\:\mathrm{sur}\:\mathbb{R} \\ $$$$\mathrm{et}\:\mathrm{non}\:\mathrm{identiquement}\:\mathrm{nulle}, \\ $$$$\forall\:\mathrm{x},\mathrm{x}'\in\mathbb{R},\:\mathrm{f}\left(\mathrm{x}−\mathrm{x}'\right)+\mathrm{f}\left(\mathrm{x}+\mathrm{x}'\right)=\mathrm{2f}\left(\mathrm{x}\right)\mathrm{f}\left(\mathrm{x}'\right) \\ $$$$\mathrm{montrer}\:\mathrm{que}: \\ $$$$\mathrm{f}\left(\mathrm{0}\right)=\mathrm{1}\:\mathrm{et}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(−\mathrm{x}\right).. \\ $$
Question Number 148428 Answers: 1 Comments: 0
Question Number 148427 Answers: 2 Comments: 0
Question Number 148421 Answers: 0 Comments: 0
$$\underset{\boldsymbol{{x}}\rightarrow\infty} {{lim}}\frac{{cos}\left({x}\right)\:-\:{x}!}{\mathrm{3}^{\boldsymbol{{x}}} \:-\:\mathrm{4}^{\boldsymbol{{x}}} }\:=\:? \\ $$
Question Number 148418 Answers: 1 Comments: 0
$${Find}\:{the}\:{natural}\:{roots}\:{of}\:{the}\:{equation} \\ $$$${x}^{\mathrm{2}} \:-\:\mathrm{51}{y}^{\mathrm{2}} \:=\:\mathrm{1} \\ $$
Question Number 148417 Answers: 0 Comments: 0
Question Number 148408 Answers: 2 Comments: 0
$$\int{x}^{\mathrm{5}} {e}^{{x}^{\mathrm{2}} } {dx} \\ $$$${Help}\:{please}! \\ $$
Question Number 148404 Answers: 0 Comments: 0
Question Number 148403 Answers: 1 Comments: 0
Question Number 148397 Answers: 0 Comments: 0
Question Number 148395 Answers: 1 Comments: 0
$$\boldsymbol{{x}}^{\boldsymbol{{x}}} \:=\:\mathrm{64} \\ $$$$\Rightarrow\:\boldsymbol{{x}}\:=\:? \\ $$
Question Number 148388 Answers: 1 Comments: 0
$${cos}\mathrm{40}°\left(\mathrm{1}\:-\:\mathrm{2}{cos}\mathrm{80}°\right)\:=\:? \\ $$
Question Number 148382 Answers: 0 Comments: 0
$$\mathrm{0}.\mathrm{8\%}×\mathrm{544} \\ $$
Question Number 148381 Answers: 0 Comments: 0
Question Number 148376 Answers: 1 Comments: 0
$$\int_{\mathrm{1}} ^{\infty} {x}^{{i}} {lnxdx}\:\:\:\:\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$
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