Problem 6 True or false. If false, give an example. a. (4 points) If f' (2) = 0 and f" (2) = 2, then f(2) is a local minimum b. (5 points) If f(x) is a continuous function with f(0) = 1 and f(2) = 1, then there must be a number c in (0, 2) such that f (c) = 0