If `f(x) = x^3 + bx^2 + ax` satisfies the conditions on Rolle's theorem on `[1, 3]` with `c=2+1/sqrt3`.

If f(x)=x^(3)+bx^(2)+ax satisfies the conditions on Rolle's theorem on [1,3] with c=2+(1)/(sqrt(3))

The function f(x) =x^(3) - 6x^(2)+ax + b satisfy the conditions of Rolle's theorem on [1,3] which of these are correct ?

If the function f(x)=ax^(3)+bx^(2)+11x-6 satisfies condition of Rolle's theorem in [1, 3] for x=2+(1)/(sqrt(3)) then value of a and b are respectively (A) 1, -6 (B) 2, -4 (C) 1, 6 (D) None of these.

If the function f(x)=ax^(3)+bx^(2)+11x-6 satisfies conditions of Rolles theorem in [1,3] for x=2+(1)/(sqrt(3)), then values of a and b respectively,are -3,2(b)2,-41,6(d) none of these

The polynomial f(x)=x^3-bx^2+cx-4 satisfies the conditions of Rolle's theorem for x in [1,2] , f'(4/3) = 0 the order pair (b,c) is

If f(x) satisfies the condition for Rolle's heorem on [3,5] then int_(3)^(5) f(x) dx equals

The function f(x)=x^(3)-6x^(2)+ax+b satisfy the conditions of Rolle's theorem in [1,3] .The values of a and b are

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

If y=f(x) satisfies has conditions of Rolle's theorem in [2, 6], then int_(2)^(6)f'(x)dx is equal to