a) If d = hef(a, b), and a = m and b = n2 for m, n positive integers, then d = 1. b) For a = 1792 and b = 449, s = 112 and t = -447 are the unique integers such that sa + th = 1. c) If a and b are positive coprime integers, then for any integer n, there exists integers s, t such that sa + tb = n. d) The function y = 3x + 2 for x > 0 has an absolute maximum f (6) = 20. The function y = [x| has only one critical point. f) The function f(x) = 2x2 + 8x + 1 satisfies the hypothesis of Rolle's Theorem on the interval [-1, 1]