Homework 06: Problem 8 Previous Problem Problem List Next Problem (1 point) +a+ .123 2:2 For what values of a and I) does ljm ( 3)0 sin(2m) b ) Z 0? b: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Previous Problem Problem List Next Problem (1 point) Use Rolle's Theorem and a proof by contradiction to show that the function f(m) = 6.:c9 6:6 14 does not have two real roots. Proof: Suppose f($) has two real roots a and 5 such that u.) : f(b) : Since the conditions of Rolle's theorem hold true for f on [(1, b], there exists at least one number c in the interval (a, b) such that f'(c) : However, the derivative f'(w) : is always ? v and, therefore, it is ? v for f'(a:) : This contradicts the conclusion of Rolle's Theorem and, therefore, f ? v have two real roots. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers