1. Which of the following processes must violate the first law of thermodynamics?(There may be more than one answer!) ()W>0, 0, (C)W>0, 0, and AEint0,g>0,andEint<0
INVESTMENTS Two-Security Portfolio: Return rp =W+W2r2 W Proportion of funds in Security 1 W2 Proportion of funds in Security 2 =Expected return on Security 1
Problem 1. An undirected graph G has width w if the vertices can be arranged in a se- quence V1,2,3,…,Vn such that each vertex v; is joined by an edge to at most w preceding vertices. (Vertex vj precedes if i.) Use induction to prove that every graph with width at most w is (w+1)-colorable