EECS 1019 Study Guide - Midterm Guide: Irrational Number, Inductor, Asteroid Family

• School: York University
• Department: Electrical Engineering and Computer Science
• Course: EECS 1019
• Professor: Suprakash Datta

Document Summary

Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b. Solution: (b) (3 points) prove that there is no positive integer n such that n2 + n4 = 200. Solution: we know that n4 is an increasing function o n and that 54 = 625 > 200. Therefore the only candidates for n that we need to consider are n = 1, 2, 3, 4. We can check that for each of these values of n the given equation is not satis ed. Therefore the assertion in the question is true: (6 points) proofs (a) (3 points) suppose a, b, c are sets. Prove or disprove: (a b) c = a (b c). Solution: (b) (3 points) recall that the power set of a set a is the set of all subsets of a.