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Question 1 Let f(x) 8x3 + 3x22x+6 5x2+ 8x + 6 1. Use Ad-hoc calculations to prove that f(x) is O(x) 2. Use limits to prove that f(x) is (x) Consider the following graph. 9 B 10 16 15 20 A . D 11 20 12 15 14 E 8 F Find the minimum spanning tree for the graph starting from the vertex A. In the table below indicate the order in which edges are added to form the spanning tree. Please highlight the tree on the graph. Edge Weight The two graphs below are isomorphic. 05 W2 W3 W6 03 02 W1 06 a1 04 W4 W5 (a) Exhibit an isomorphism by mapping the vertices of the first graph with the vertices of the second graph with f(ai) = f(az) = f(a3) = f(26) = f(a) = f(a5) = 5) Use adjacency matrices to prove your answer in part (a)