Let \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be an increasing function on the set \( R \). The...

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Let \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be an increasing function on the set \( R \). Then, \( a \) and \( b \) satisfy
(a) \( a^{2}-3 b-150 \)
(b) \( a^{2}-3 b+150 \)
(c) \( a^{2}-3 b+150 \)
(d) \( a0 \) and \( b0 \)
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