Problem 1. Find all global extrema for f(x) = x3 + 3x2 + 2 on the closed interval [b - 6, b - 2). Problem 2. Suppose that the third degree Taylor polynomial of the function f(x) about x = 1 is: Taf (x) = (9 - 2b)x3. Give a linear approximation for f(1.1). Problem 3. Consider the function: f (x) = bx - b2 + 2. (a) Compute f(b), f(2b), and f' (x). (b) Suppose that g is a continuous and differentiable function such that g(b) = 2 and g'(x)