在平面直角坐标系xOy中,A(﹣12,0),B(0,6),点P在圆O:x 2+y 2=50上.若 PA ⃗ ⋅ PB ⃗ ≤ 20 ,则点P的横坐标的取值范围是________.
若函数f(x)=(1-x2)(x2+ax+b)的图象关于直线x=-2对称,则f(x)的最大值是________.
设函数f(x)在(0,+∞)内可导,且f(ex)=x+ex,则f′(1)=________.
若曲线y=kx+ln x在点(1,k)处的切线平行于x轴,则k=________.
函数f(x)=(x2+x+1)ex(x∈R)的单调减区间为________.
已知正数a,b,c满足:5c-3a≤b≤4c-a,cln b≥a+cln c,则的取值范围是________.