If Rolle's theorem can be applied on the function `f(x)=ax^(2)+bx+c` in the interval [1,2] then

In Rolle's theorem the value of c for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is

If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) over the interval [a, b] where a in I, b in I ,then value of a^2+ b^2 can be:

Verify Rolle's theorem for the function f(x) = {log (x^(2) +2) - log 3 } in the interval [-1,1] .

Verify Rolle's theorem for the function f(x) = x^(2) +x-6 in the interval [-3,2]

Rolle's theorem is applicable for the function f(x) = |x-1| in [0,2] .

Verify Rolle's theorem for the function f(x) = x^(3) - 9x^(2) + 26x -24 in the interval [2.4]

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Verify Rolle's theorem for the function f(x) = 2x^(3) + x^(2) - 4x - 2 in the interval [-(1)/(2) , sqrt2] .

Verify Rolle's theorem for the function f(x) = x^(3) + 3x^(2) - 24x -80 in the interval [-4,5] .

Verify Rolle's theorem for the function f(x) = x^(2) in the interval [-1,1] .