MATH 1014 Study Guide - Midterm Guide: Contraposition
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28 Nov 2015
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For questions 1- 17 answer true or false only (no partial credit!). You get 1 point for the correct answer, 0 points otherwise. 1. 1 1 3 if and only if 2 2 3. In the questions below p(x y) means x 2y xy , where x and y are integers. In the questions 9-11 below determine whether the given set is the power set of some set: a . 12. suppose f n n has the rule f(n) 4n 1. 13. suppose f n n has the rule f(n) 4n 1. 14. suppose f z z has the rule f(n) 3n2 1. 15. suppose f n n has the rule f(n) 3n2 1. 16. suppose f n n has the rule f(n) 4n2 1. ,1: (2 points) write the truth table for the proposition (r q) (p r). In the questions below (2 points each) suppose the variable x represents students and y represents courses, and:
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No common factor m^5 (20m^4 + 6m^2 +20) 2m^5 (10m^4 + 3m^2 +10) |
(0, 0) (0, 1) (1, 1) |
121p^2 + 88p - 16 121p^2 - 16 121p^2 - 88p -16 |
(7, -7) (9, -9) (-7, 7) |
(18x^2 - 2)(x - 5) (3x^2 - 2)(6x - 5) x(18x + 2)(x +5) |
x^2 + 8xy + 8y^2 x^2 + 8xy + 15y^2 x + 8xy + 15y |
54x^14 + 72x^9 54x^14 + 72x^9 -42x^7 54x^14 + 12x^2 -7 |
(15x - 2)(x + 4) (3x - 2)(5x + 4) (3x + 2)(5x -4) |
Trinomial, degree 3 Trinomial, degree18 Trinomial, degree11 |
12x^42 + 9 10x^26 - 2x^14 + 4x^12 +9 4x^8 + 4x^7 + 4x^6 +9 |
-3n^5 + 11n^3 - 3 5n^8 -3n^5 + 11n^3 -9 |
(-2, 4) (-1, 3) No solution |
(4, 1) (4, 0) No solution |
False |
False |
False |
False |
False |
False |
False |