The minimum value of the function $f(x)=2|x-1|+|x-2|$ is

The real number $x$ when added to its inverse gives the minimum value of the sum at $x$ equal to

The radius (in $cm$) of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone with radius $10 \ cm$ is

On the interval $[0,1]$,the function $f(x) = x^{25}(1-x)^{75}$ takes its maximum value at the point

If $x$ and $y$ are two positive numbers such that $x+y=32$,then the minimum value of $x^2+y^2$ is,

The values of $x$ at the stationary points of $f(x)=x^3+3x^2-2$ are