速求两道高数证明题!1.对于任意实数x,证明(1-x)e^x≤12.设g(x)在[a,b](a>0)上连续,f(x)=∫上x下a g(t)dt.证明:至少存在一点ξ∈(a,b),使得f(ξ)=[(b-ξ)/a]g(ξ)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 04:57:57
![速求两道高数证明题!1.对于任意实数x,证明(1-x)e^x≤12.设g(x)在[a,b](a>0)上连续,f(x)=∫上x下a g(t)dt.证明:至少存在一点ξ∈(a,b),使得f(ξ)=[(b-ξ)/a]g(ξ)](/uploads/image/z/5279934-30-4.jpg?t=%E9%80%9F%E6%B1%82%E4%B8%A4%E9%81%93%E9%AB%98%E6%95%B0%E8%AF%81%E6%98%8E%E9%A2%98%211.%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0x%2C%E8%AF%81%E6%98%8E%281-x%29e%5Ex%E2%89%A412.%E8%AE%BEg%28x%29%E5%9C%A8%5Ba%2Cb%5D%28a%3E0%29%E4%B8%8A%E8%BF%9E%E7%BB%AD%2Cf%28x%29%3D%E2%88%AB%E4%B8%8Ax%E4%B8%8Ba+g%28t%29dt.%E8%AF%81%E6%98%8E%EF%BC%9A%E8%87%B3%E5%B0%91%E5%AD%98%E5%9C%A8%E4%B8%80%E7%82%B9%CE%BE%E2%88%88%28a%2Cb%29%2C%E4%BD%BF%E5%BE%97f%28%CE%BE%29%3D%5B%28b-%CE%BE%29%2Fa%5Dg%28%CE%BE%29)
xUnE~bWuvgvfvg_jژ+'4niBLRT5R'QEpy>Dco)KHW93fL97?V;Y[wF[@G<?8o4u{dk$o]ڄ3l
V.4lG2q㩉Y`UmYuJ'ÕgznN}eѰL-;?<ҽueK7.myۘ^/n9/GtJ%;WSϥ*EvXs݂S,ՅYI~戅Œd R*\
T! ^0
Q$R\yn@`q 1yH` }EʆJ4L\){\/X qQBfb:flF"#