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Let `f(x)=x^3+ax^2+bx+5sin^2x` be an increasing function in the set of real numbers `R` Then `a` and `b` satisfy the condition
A. `a^(2) -3b -15 gt0`
B. `a^(2)-3b+15 le0`
C. `a^(2) +3b -15 lt0`
D. `a gt 0 & b gt 0`

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