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1) Find all a in R such that x^3 + ax^2 + 3x + 15 is...

1) Find all a in R such that x^3 + ax^2 + 3x + 15 is strictly increasing near x = 1.

2) Find all a in R such that ax^2 + 3x + 5 is strictly increasing on the interval (1,2).  

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