For the given functions /(a), let Aq = 0, A| = 0.6, and X2 = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate /(0.45) and find the absolute error. a. /(a) = cos a c. /(a) = ln(A 4- 1) b. /(a) = \/1+a d. /(a) = tan a

CHAPTER 1: VOTING ● Democracy: the right and duty of every citizen to vote Eg: presidential, local/state, board/office of business, local groups→all elections ● Questions in voting a. Why do we vote b. Does my vote count c. How does my vote count ● Voting Theory: the study of voting and elections Eg: What is your favorite car Choices: Ford(F), Honda(H) and Mercedes(M) Set preferences into a preference schedule because the possibilities of preferences are finite. TOTAL 6 9 4 12 26 10 1 F F H H M M 2 H M F M F H 3 M H M F H F In this example there are 6 possible ballots(see explanation later) A. PREFERENCE BALLOTS & SCHEDULES For an elections you need: - A set of voters - Candidates or cho