1. (a) Find all a E R such that x3 + ax2 + 3x + 15 is...

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1.

(a) Find all a E R such that x3 + ax2 + 3x + 15 is strictly increasing near x = 1.

(b) Find all a E R such that ax2 + 3x + 5 is strictly increasing on the interval (1,2).

(c) Find where I(x) = 21x -11 + 5v'x2 + 9 is strictly increasing and where I(x)
is strictly decreasing.

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