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mathdeptv2/工具/文本文件/metadata.txt

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ans
003675
$(-\infty,0)$
031239
$\dfrac 23$
031240
$\dfrac{2\pi}3$
031237
$\dfrac 35$
004256
$(-\infty,-1]\cup [0,+\infty)$
004499
$0217$
004132
$[-3,1]$
004217
$36$
008972
B
009082
D
012445
B
030691
B
011301
(1) $c=8$; (2) $6\sqrt{6}$
003691
(1) $935$辆; (2) 因$8782>8736$, 故第$42$个月底单车保有量超过了容纳量
011450
(1) $x=\dfrac{\sqrt{2}}2$或$x=-\dfrac{\sqrt{2}}2$; (2) $x_1^2+x_2^2=1$, $y_1^2+y_2^2=2$; (3) 不存在, 证明略.
031236
(1) $y=x$; (2) $g'(x)=\mathrm{e}^x(\ln (x+1)+\dfrac 1{x+1}+\dfrac{x}{(x+1)^2})$, 故$g(x)$在$[1,+\infty)$上是严格增函数; (3) 证明略.