满足方程f(x)+2 https://assets.asklib.com/psource/201510261646105063.jpg f(x)dx=x 2 的解f(x)是:()
设二次函数f(x)=ax 2 +bx+c(a>O),方程f(x)-x=O的两个根x 1 ,x 2 满足 https://assets.asklib.com/psource/2016030616072289666.jpg 。 (1)当x∈(0,x 1 )时,证明x; (2)设函数f(x)的图象关于直线x=x 0 对称,证明 https://assets.asklib.com/psource/2016030616072314233.jpg 。
设<img src='https://img2.soutiyun.com/latex/latex.action' />则f(-x)=( )
设f(x)在[0,2]上连续,并且对任意的x∈[0,1]都有f(1-x)=-f(1+x),则<img src='https://img2.soutiyun.com/shangxueba/ask/1266001-1269000/1267381/ct_kgctem_kgctechoose_0020(106)1.jpg' />
作变量代换x=Int简化方程<img src='https://img2.soutiyun.com/ask/2021-01-13/979381219766245.png' />
试证明下列函数满足拉普拉斯方程:<img src='https://img2.soutiyun.com/ask/2019-06-18/929711665151155.png' />
f(x)二阶可导,f&39;(0)=0,<img src='https://img2.soutiyun.com/latex/latex.action' />,则( ).
设X~N(μ,σ<sup>2</sup>),σ>0,二次方程<img src='https://img2.soutiyun.com/latex/latex.action' />无实根的概率为<img src='https://img2.soutiyun.com/latex/latex.action' />,则μ=( )
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( )
设<img src='https://img2.soutiyun.com/ask/2020-03-11/952811239855432.png' />,则x=1是f(x)在区间[-2,2]上的( ).
设<img src='https://img2.soutiyun.com/latex/latex.action' />,则点x=1是f(x)的( )。
设f(x)=arctanx,则<img src='https://img2.soutiyun.com/latex/latex.action' />( )。
在图所示的电路中,回路的方程是( )。<img src='https://img2.soutiyun.com/ask/6489001-6492000/1fdce6e35b3dcfa6a192f3238cbc8759.jpg' />
若<img src='https://img2.soutiyun.com/ask/2020-03-10/952728203989995.png' />,x≠0,且f(x)在x=0处连续,则( ).
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:()
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:()
如果f(x)=e<sup>x</sup>,则<img src='https://img2.soutiyun.com/shangxueba/ask/18747001-18750000/18749502/2016071617275141166.jpg' />等于:()<img src='https://img2.soutiyun.com/shangxueba/ask/18747001-18750000/18749502/2016071617274553502.jpg' />
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)。
设矩阵满足方程<img src='https://img2.soutiyun.com/ask/uploadfile/10923001-10926000/62839ccf0758320892b8a63233c10674.jpg' />
设函数<img src='https://img2.soutiyun.com/shangxueba/ask/51060001-51063000/51061013/970054070213009.png' />求方程f(x)=0的根。
已知f(x)的原函数为<img src='https://img2.soutiyun.com/shangxueba/ask/18741001-18744000/18743910/2016071616173232033.jpg' />=()<img src='https://img2.soutiyun.com/shangxueba/ask/18741001-18744000/18743910/2016071616172745358.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"/>=().