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设函数,要使f(x)在点x=1处连续,则a的值是()。
A . -2
B . -1
C . 0
D . 1
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设函数f(x)在x=1处连续且可导,则().
A . a=1,b=0
B . a=0,b=1
C . a=2,b=-1
D . a=-1,b=2
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设f(x)是定义在(-∞,+∞)上的连续函数,则().
A .https://assets.asklib.com/psource/201510281730216011.jpg
必收敛B . 当时https://assets.asklib.com/psource/2015102817304539684.jpg
,有https://assets.asklib.com/psource/2015102817310390466.jpg
收敛C . 当https://assets.asklib.com/psource/2015102817312471494.jpg
存在时,有https://assets.asklib.com/psource/2015102817314434109.jpg
收敛D . 当且仅当https://assets.asklib.com/psource/2015102817320265605.jpg
均存在时,有https://assets.asklib.com/psource/2015102817322045792.jpg
收敛
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设 X 为连续型随机变量, ) ( x f 为其概率密度函数, ) ( x F 为其分布函数,则( )。
1 ) ( £ x f
) ( ) ( x f x X P = =
0 ) ( ³ x f
) ( ) ( x F x f = ¢
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设连续函数f(x)满足,且f(0)=1,求f(x).
设连续函数f(x)满足<img src='https://img2.soutiyun.com/ask/2021-01-02/978466547476644.png' />,且f(0)=1,求f(x).
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设、补充何值f(0)=(),能使函数f(x)在点0是连续的?
设<img src='https://img2.soutiyun.com/ask/2020-12-12/97665109357995.png' />、补充何值f(0)=(),能使函数f(x)在点0是连续的?
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设函数f(x)二阶连续可导,且f(0)=0,f'(0)=1,求
设函数f(x)二阶连续可导,且f(0)=0,f'(0)=1,求<img src='https://img2.soutiyun.com/ask/2020-12-08/976282425721188.png' />
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设f(x,y)为连续函数,()
设f(x,y)为连续函数,<img src='https://img2.soutiyun.com/ask/uploadfile/2766001-2769000/13ad2684e5aab0b425f536ce4ab309b3.jpg' />()<img src='https://img2.soutiyun.com/ask/uploadfile/2766001-2769000/1cb1d88a2e4e034baf23759c42df09f5.jpg' /><img src='https://img2.soutiyun.com/ask/uploadfile/2766001-2769000/99fe3f313cd296681f496a61f8bd3f0d.jpg' /><img src='https://img2.soutiyun.com/ask/uploadfile/2766001-2769000/5e9f42f3b66e17f1010eb8405d5e6d3b.jpg' /><img src='https://img2.soutiyun.com/ask/uploadfile/2766001-2769000/5fbc012b3e13b4f4e8fbc129a807492f.jpg' />
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设连续型随机变量X的分布函数为F(x),则有( ).
A.P(X>b)=1-F(b) B.P(X=a)=0
C.<img src='https://img2.soutiyun.com/ask/uploadfile/6663001-6666000/4542cc99e5c66e758cc6e88d9f65e164.png' />D.<img src='https://img2.soutiyun.com/ask/uploadfile/6663001-6666000/60caca0148aa7397cd929e9d3025f1d9.png' />
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设f(x)为[-a,a]上的连续函数,证明:(1)若f(x)是偶函数,则是[-a,a]上的奇函数;(2)若f(x)是奇函数
设f(x)为[-a,a]上的连续函数,证明:
(1)若f(x)是偶函数,则<img src='https://img2.soutiyun.com/ask/2020-10-12/971368555517115.png' />是[-a,a]上的奇函数;
(2)若f(x)是奇函数,则<img src='https://img2.soutiyun.com/ask/2020-10-12/971368586317876.png' />是[-a,a]上的偶函数。
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设随机变量X的概率密度为f(x)=Ae<sup>-|x|</sup>,-∞<x<+∞,试求(1)系数A;(2)P{0<X<1};(3)X的分布函数。
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设F(x)为f(x)的原函数,当x≥0时,有f(x)F(x)=,且F(0)=1,F(x)≥0,试求f(x).
设F(x)为f(x)的原函数,当x≥0时,有f(x)F(x)=<img src='https://img2.soutiyun.com/ask/2021-01-13/979404072995374.png' />,且F(0)=1,F(x)≥0,试求f(x).
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设f(x)为连续函数,且f(0)≠0,则=().
设f(x)为连续函数,且f(0)≠0,则<img src='https://img2.soutiyun.com/ask/2020-12-13/976723029730536.png' />=().
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设函数f(x)在x=0处连续,下列命题错误的是()
设函数f(x)在x=0处连续,下列命题错误的是()<img src='https://img2.soutiyun.com/ask/uploadfile/4254001-4257000/bcb78d6edc67f7fb9fec3b1006752836.jpg' />
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设F(x+y+z,x2+y2+z2)=0,F对各变量具有一阶连续偏导数,求由F=0所确定的函数z=f(x,y)的梯度.
设F(x+y+z,x<sup>2</sup>+y<sup>2</sup>+z<sup>2</sup>)=0,F对各变量具有一阶连续偏导数,求由F=0所确定的函数z=f(x,y)的梯度.
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设函数f(x)具有一阶连续倒数.且f(0)=0,fˊ(0)=2,求lim(x→0)f(1-cosx)/tanx²;
是一阶连续导数(上面打错)
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设f(x)是以T为周期的连续周期函数(-∞<x<+∞).证明:
设f(x)是以T为周期的连续周期函数(-∞<x<+∞).证明:
<img src='https://img2.soutiyun.com/ask/2020-12-13/976722698275577.png' />
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设u=x<sup>2</sup>-y<sup>2</sup>+xy为调和函数,试求其共轭调和函数v(x,y)及解析函数 f(z)=u(x,y)+iv(x,y)。
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设函数其中g(x)有二阶连续导函数,且g(0)=1.(1)确定a的值,使f(x)在点x=0处连续;(2)求f'(x)
设函数<img src='https://img2.soutiyun.com/ask/2020-08-18/96660742963403.png' />其中g(x)有二阶连续导函数,且g(0)=1.
(1)确定a的值,使f(x)在点x=0处连续;
(2)求f'(x);
(3)讨论f'(x)在点x=0处的连续性.
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设函数f(x,y)在(x0,y0)的某邻域内具有连续二阶偏导数,且 则 ()。
设函数f(x,y)在(x0,y0)的某邻域内具有连续二阶偏导数,且<img src='https://img2.soutiyun.com/ask/2019-07-12/931776851413807.png' />,则<img src='https://img2.soutiyun.com/ask/2019-07-12/931776867607056.png' />()。
A.必为f(x,y)的极小值
B.必为f(x,y)的极大值
C.必为f(x,y)的极值
D.不一定是f(x,y)的极值
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设函数,其中函数g(x)在(-∞,+∞)上连续,且g(1)=5,,证明,并计算f''(1)和F'''
设函数<img src='https://img2.soutiyun.com/ask/2020-12-16/976976603992918.png' />,其中函数g(x)在(-∞,+∞)上连续,且
g(1)=5,<img src='https://img2.soutiyun.com/ask/2020-12-16/976976616554637.png' />,证明<img src='https://img2.soutiyun.com/ask/2020-12-16/976976676821084.png' />,并计算f''(1)和F'''(1).
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设f(x)为上以2π为周期,且具有二阶连续导数的函数, 记
设f(x)为<img src='https://img2.soutiyun.com/ask/2021-02-02/981112914240121.png' />上以2π为周期,且具有二阶连续导数的函数, 记
<img src='https://img2.soutiyun.com/ask/2021-02-02/981112923970678.png' />
<img src='https://img2.soutiyun.com/ask/2021-02-02/981112932118144.png' />
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设函数f(x)连续,求F"(0).
设函数f(x)连续,<img src='https://img2.soutiyun.com/ask/2020-12-15/976873842329293.png' />求F"(0).
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设f(x)为连续函数,又,证明: (1)若f(x)为奇函数,则F(x)为偶函数.(2) 若f(x)为偶函数,则F(x)为
设f(x)为连续函数,又<img src='https://img2.soutiyun.com/ask/2020-12-20/977330361227981.png' />,
证明: (1)若f(x)为奇函数,则F(x)为偶函数.
(2) 若f(x)为偶函数,则F(x)为奇函数.