`f(x)=x^(3)+ax^(2)+bx+c ` parameters ` a,b ,c `are chosen respectively by throwing a die three times,then probability that `f(x)` is non decreasing is.

Consider f(x)=x^(3)+ax^(2)+bx+c , parameters a,b,c are chosen respectively by throwing a dice three times. Then probability that f(x), is an increasing functions is

Suppose f(x)=x^(3)+ax^2+bx+c.a,b,c are chosen respectively by throwing a die three times. Find the probability that f(x) is an increasing function.

consider f(x)=x^(3)+ax^(2)+bx+c Parameters a,b,c are chosen as the face value of a fair dice by throwing it three xx Then the probability that f(x) is an invertible function is (A) (5)/(36) (B) (8)/(36) (C) (4)/(9) (D) (1)/(3)

A function f is such that f(x)=x^3+ax^2+bx+c , where a, b, c are chosen by throwing a die three times. The probability that f is an increasing function is

The coefficients a, b and c of the quadratic equation, ax^(2) + bx + c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is:

If f (x) =ax ^(2) + bx + 2 and f (1) =3, f (4) =42, then a and b respectively are

Let f(x)=x^(3)+ax^(2)+bx+c where a,b,c in R, then which of the following statement(s) is/are correct?

If f(x)=x^(3)+ax^(2)+bx+c is minimum at x=3 and maximum at x=-1, then-

If f(x)=x^(3)+ax^(2)+bx+c is minimum at x=3 and maximum at x=-1, then