1. Consider the function f(x) = 4x3 + 19x2 - 18x + 1. (a) (3 points) Find all critical points for f(x). (Hint. The quadratic formula may be helpful.) (b) (3 points) Classify each of the critical points of f(x) as a maximum, minimum, or neither using either the first or second derivative test. 2. (4 points) Find the global minimum of f(x) = 2 cos(x) + (2x - 1) sin(x) on the closed interval [0, 27]