hn Bule Hora University College of Natural and Computational Science Department of Mathematics Mathematics for Social Science Group Assignment for Regular Freshman Students Plagiarism is strictly forbidden!! Max. Marks: 10 % Show all necessary steps neatly and legibly with appropriate logical reasoning!! 1. Given the argument: If the team is late, then it can not play the game. If the referee is here, then the team can play the game. The team is late. Therefore, the referee is not here. (a) Identify the premise. (b) Write the argument forms (c) Use formal proof to check the validity 2. Let U (2, 3, 6, 8, 9. 11, 13, 15} = A = {xx is a positive prime factor of 66} B={xe Ux is a composite number} C={xe Ux-5 E U), then find each of the following (2.5 pts) (1 pt each) (a) (AnByUC 3. Solve the following inequalities (a) 5x-2>3x-(x-}) (b) 5x-2x+3 (b) (A\Cyu (B\AY (e) (AABY (BAC) (0.5 pts each) (c) x2+2x-24 > 0 (d) 2x2-x-2≤0 4. Write the general polynomial p(x) whose only zeros 1, 2 and 3 with multiplicity 3, 2 and 1 respectively. What is the degree, leading coefficient and constant term of the polynomial. 5. Given tan and sin 0 < 0, find cos 0.
