If the function `f(x)=x^3-6x^2+a x+b` defined on [1,3] satisfies Rolles theorem for `c=(2sqrt(3)+1)/(sqrt(3)` then find the value of `aa n db`

If the function f(x)=x^3-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((2sqrt(3)+1)/(sqrt(3)))=0 , then

it is given for the function f(x)=x^(3)-6x^(2)+ax+b on [1,3], Rolle's theorem holds with c=2+(1)/(sqrt(3)). Find the values of a and b if f(1)=f(3)=0

It is given that for the function f(x)=x^(3)-6x^(2)+ax+b on [1,3], Rolles theorem holds with c=2+(1)/(sqrt(3)). Find the values of a and b, if f(1)=f(3)=0

It is given that for the function f(x)=x^(3)-6x^(2)+ax+b on [1,3], Rolles theorem holds with c=2+(1)/(sqrt(3)). Find the values of a and b, if f(1)=f(3)=0

If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((sqrt(3)+1)/(sqrt(3)))=0 , then

It is given that for the function f given by f(x)=x^(3)+bx^(2)+ax,x in[1,3]. Rolles theorem holds with c=2+(1)/(sqrt(3)). Find the values of a and b

If the function f(x) = x^(3) - 6x^(2) + ax + b satisfies Rolle's theorem in the interval [1,3] and f'[(2sqrt(3)+1)/sqrt(3)]=0 , then a=

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

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.