For the following questions, let V be the set of vertices in the graph below, and let E be the set of edges. Answer the following questions 1-9.Need help with questions 7, 8, and 9. Thank you! For the following questions, let V be the set of vertices in the graph below, and let E be the set of edges. Answer the following questions 1-9.afmbke1. Write V in roster form.2. Compute |EJ.3. Let R = {x E V| there is a path from a to x}. Write R' in roster form.4. Let D3 = {x EV| x has degree 3} and let T = {x E V|x is part of a triangular subgraph}. Does D3 =T? Prove or disprove.5. Let D4 = {x €V|x has degree 4}. Write D4 U (D3 nT) in roster form.6. Write R in terms of D3 and D4.7. Let N = {a, h, i, c}. Using the fact that each of these vertices shares an edge with b, write N in set-builder form.8. Write {a, h, c} in terms of N and D3.9. Let N x R' = {(x, y) | x e N and y e R' }. Write N x R' in roster form.

Given that, V be the vertices and E be the set of edges. (7): Let, N=a,h,i,c. Now, using the fact…

7. Let N = {a, h, i, c}. Using the fact that each of these vertices shares an edge with b, write N in set-builder form. 8. Write {a, h, c} in terms of N and D3. 9. Let N x R' = {(x, y) | x EN and y eR' }. Write N x R' in roster form.

7. Let N = {a, h, i, c}. Using the fact that each of these vertices shares an edge with b, write N in set-builder form. 8. Write {a, h, c} in terms of N and D3. 9. Let N x R' = {(x, y) | x EN and y eR' }. Write N x R' in roster form.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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