已知f(x)的原函数为 https://assets.asklib.com/psource/2016071616173232033.jpg =() https://assets.asklib.com/psource/2016071616172745358.jpg
设f(x)为连续函数,则<img src='https://img2.soutiyun.com/ask/uploadfile/1674001-1677000/64d9e7c239d874f24da744e8ef602e4d.jpg' />等于().
已知某企业生产铜丝,其直径X~N(32.5,1.12),现从该企业生产的一批铜丝中随机抽取6个样品,测得直径均值<img src='https://img2.soutiyun.com/ask/uploadfile/4104001-4107000/d1e1509ae75975432ea54649e11e46af.jpg' />假定现在生产的铜丝的标准差未变。检验铜丝抗拉强度均值是否变小的原假设H0为()。
设函数f(x)在x0的某邻域内有定义,且<img src='https://img2.soutiyun.com/ask/2021-01-18/979839323585179.png' />,则()
一家追求利润最大化的企业使用两种要素X<sub>1</sub>与X<sub>2</sub>生产产品Y。生产函数为<img src='https://img2.soutiyun.com/ask/2019-12-05/944397577720965.png' />。已知两种要素的价格分别为1和2,产品Y的价格为4。如果产品Y的价格由4涨到6,而其他条件不变,则下列说法不正确的是( )。
设随机变量(X,Y)的密度函数为<img src='https://img2.soutiyun.com/latex/latex.action' />
由<img src='https://img2.soutiyun.com/latex/latex.action' />,确定可微函数z=z(x,y)(f也可微),则<img src='https://img2.soutiyun.com/latex/latex.action' />=( )
二元函数z=f(x,y)的两个偏导数存在,且<img src='https://img2.soutiyun.com/ask/uploadfile/6156001-6159000/4aaf2f9b971c9d04aa6c6a22fc35f35e.jpg' />则( )。
设f(x)以2π为周期,<img src='https://img2.soutiyun.com/ask/uploadfile/6681001-6684000/04820dd60870b1dd31e972d33b85c0e5.png' />,s(x)为f(x)的傅里叶级数、和函数,则( )
使函数<img src='https://img2.soutiyun.com/latex/latex.action' />为无穷小量的x的变化趋势是( )。
设二维随机变量(X,Y)的分布函数为<img src='https://img2.soutiyun.com/ask/uploadfile/6663001-6666000/45f51949890b44017e315c766cce4df5.png' />,则常数A,B分别为( ).
试判断下列函数在分界点x=0处是否可导?如果可导,则该函数的导数f’(0)是下列四个结论中的哪一个()。<img src='https://img2.soutiyun.com//1/2021-06-20/993065591395231.png' />
设参数方程<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17670789/2015102617291875238.jpg' />,确定了y是x的函数,且f′(t)存在,f(0)=2,f′(0)=2,则当t=0时,dy/dx的值等于:()
已知函数(x+1)<sup>2</sup>为f(x)的一个原函数,则下列函数中( )为f(x)的原函数.
设参数方程<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17672290/2015102617310076340.jpg' />,确定了y是x的函数,f″(t)存在且不为零,则d<sup>2</sup>y/d<sup>2</sup>x的值是:()
设f(x)为连续函数,且满足等式<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/97672305236883.png' />则<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/976723063701479.png' />=().
若f(x)为连续函数,且F'(x)=f(x),则<img src='https://img2.soutiyun.com/ask/2020-08-13/966175500936834.png' />().此题为判断题(对,错)。
编程计算下面的分段函数,根据从键盘输入的x值,在屏幕上输出y值。<img src='https://img2.soutiyun.com/ask/uploadfile/10656001-10659000/17404b3704c48cba1a656c2d5364ba68.png' />程序代码如下,为完成以上功能,请将第13行标号处缺少的代码填写完整。<img src='https://img2.soutiyun.com/ask/uploadfile/10656001-10659000/19af61f231ff09ef97b1cf70a62a1734.png' />
设函数<img src='https://img2.soutiyun.com/shangxueba/ask/51060001-51063000/51061013/970054070213009.png' />求方程f(x)=0的根。
<table><tbody><tr><td>正态分布函数<i>f</i>(<i>x</i>)=<img src='https://img2.soutiyun.com/ask/uploadfile/6840001-6843000/f11daf3108007f352c38e099bf8d0ddd.gif' />的图象为<img src='https://img2.soutiyun.com/ask/uploadfile/6840001-6843000/8e31eb990135e28d7de0adb3b27775b1.gif' /></td></tr></tbody></table>
设函数f(x<sub>0</sub>)在x处可导,则<img src='https://img2.soutiyun.com/shangxueba/ask/18819001-18822000/18819878/2016030417262288150.jpg' />(),
将函数f(x)=x<sup>2</sup>在<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617062459326.jpg' />上展开成余弦级数,其形式为<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617063532608.jpg' /><img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617065141640.jpg' />()<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617071375522.jpg' />
设函数f(x)一阶连续可导.且f(0)=f&39;(0)=1,则<img src="https://img2.soutiyun.com/ask/2020-12-11/976544786128219.png"/>=().
证明:若f为函数,则<img src='https://img2.soutiyun.com/ask/2020-08-12/966099742187747.png' />