If Rolle's theorem holds for the function `f(x) = x^(3) + bx^(2) + ax + 5` on [1, 3] with `c = (2 + (1)/(sqrt3))`, find the value of a and b

If Rolle's theorem holds for the function f(x) = x^3 + p x^2 + qx + 5, x in [1,3] with c= 2 + (1/ ( sqrt 3 )), find the values of p and q.

If Rolle's theorem holds for the function f(x) =x^(3) + bx^(2) +ax -6 for x in [1,3] , then a+4b=

If Rolle's theorem holds for the function f(x) =x^(3) + bx^(2) +ax -6 for x in [1,3] , then a+4b=

It is given that Rolle’s theorem holds for the function f(x)=x^(3)+bx^(2)+ax on [1,3] with C = 2+(1)/sqrt(3) . Find the values a and b

If Rolle's theorem holds for the function f(x)=ax^(3)+bx^(2)+5x+1, x in [1, 2] with c=(3)/(2) , find the values of a and b.

If Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) + bx in the interval [-1,1] for the point c= (1)/(2) , then the value of 2a +b is

It is given that the Rolles theorem holds for the function f(x)=x^(3)+bx^(2)+cx,x in[1,2] at the point x=(4)/(3). Find the values of b and c

If the conditions of Rolle's theorem are satisfied by the function f(x)=x^(3)+ax^(2)+bx-5 in 1 le x le 3 with c=2+(1)/(sqrt(3)) , then the values of a and b are -