Suppose that / has m continuous derivatives. Modify the proof of Theorem 2.11 to show that / has a zero of multiplicity m at p if and only if 0 = fip) = f'ip) = = f"'-V \p), but f (m)(p) # 0

th 1. The median age of the members of the House of the 113 Congress is 61 years old. The average age of the members of the Senate is 62 years old. 2. As of January 2015, there are 84 women serving in the House. 20 women are currently serving in the Senate in the 114 Congress. 3. Currently, there are 46 AfricanAmericans serving in the House of Representatives and 1 in the Senate. 4. Currently serving in the 113 Congress, there are 30 Hispanics in the House of Representatives and 3 in the Senate. 5. There are 13 members in the House of Representatives and 1 in the Senate currently serving. 6. Carol Moseley Braun served as the 1 AfricanAmerican woman in the Senate as a Democrat representing the state of Illinois. 7. Ben Nighthorse Campbell was