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Let f(x) be a quadratic expression which...

Let `f(x)` be a quadratic expression which is positive for all real x and `g(x)=f(x)+f'(x)+f''(x)`.A quadratic expression `f(x)` has same sign as that coefficient of `x^2` for all real`x` if and only if the roots of the corresponding equation `f(x)=0` are imaginary.If `F(x)=int_a^(x^3) g(t)dt, the F(x)` is (A) an incresing function in R (B) an increasing function only in `[0,oo)` (C) a decreasing function R (D) a decreasing function only in `[0,oo)`

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