I just need b.) you can use a.) as an examplethank you! **Determine the edge connectivity and the vertex connectivity of each graph.****(a) Graph:**Diagram: - Vertices: 1, 2, 3, 4, 5, 6, 7, 8- Edges: Connect the vertices in the following pattern: - 1 ↔ 2, 1 ↔ 4 - 2 ↔ 3, 2 ↔ 6 - 3 ↔ 4 - 6 ↔ 7, 6 ↔ 8 - 7 ↔ 8, 7 ↔ 5**Solution:**- **Vertex connectivity** is 1. The removal of vertex 6 disconnects the graph into two connected components. At least one vertex must be removed to disconnect the graph.- **Edge connectivity** is 2. The removal of edges {1, 2} and {1, 4} disconnects vertex 1 from the rest of the graph. Removing any single edge leaves the graph connected.**(b) Graph:**Diagram:- Vertices: 1, 2, 3, 4, 5, 6, 7, 8- Edges: Connect the vertices in the following pattern: - 1 ↔ 3, 1 ↔ 4 - 3 ↔ 2, 3 ↔ 7 - 2 ↔ 4, 2 ↔ 6 - 7 ↔ 5, 7 ↔ 8(Note: No solution is provided in the image for graph (b).)

Answered: Image /qna-images/answer/7bd503b1-50ba-4263-95d4-63c7f0518e3d.jpg

Answered: (b) 7 8. 4 6

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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beautiful, wore, contest, a, Margot, to, the, pie-eating hat Margot a beautiful hat wore a to the pie-eating contest. Margot the pie-eating contest wore a beautiful hat. Margot wore a beautiful hat to the pie-eating contest.
Using p, q, and r as stated, write each symbolic statement in words. p: Jared plays baseball. q: Sierra takes dance lessons. r: Randi enjoys painting. (~r Λ ~q) → ~p
Using the symbolic representations given below: p: You are a criminal.p: You are a criminal.q: You break the lawq: You break the law Express the following compound statements in symbolic form. Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.A. ∼p→q∼�→�B. q→p�→�C. ∼q→p∼�→�D. p→q�→�E. q→∼p�→∼�F. p→∼q�→∼� Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.A. q→∼p�→∼�B. p→∼q�→∼�C. ∼q→p∼�→�D. ∼p→∼q∼�→∼�E. ∼q→∼p∼�→∼�F. ∼p→q∼�→� FILL BLANK: Statement 2 is the ________ of Statement 1.A. contrapositiveB. inverseC. converse Statement 1 and Statement 2 are:A. equivalentB. not equivalent
For the given fact below which subsequent true/false statement is true? Fact : Mel received in A in math Mel passes the math class? Mel likes math?
p: Kevin Durant will win the MVP award.q: The Lakers will win the NBA championship. Select the statement below that matches the following symbolic statement: ∼p∨q
Using the symbolic representations given below: p: You are a criminal.p: You are a criminal.q: You break the lawq: You break the law Express the following compound statements in symbolic form. Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.A. ∼p→q∼�→�B. q→p�→�C. ∼q→p∼�→�D. p→q�→�E. q→∼p�→∼�F. p→∼q�→∼� Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.A. q→∼p�→∼�B. p→∼q�→∼�C. ∼q→p∼�→�D. ∼p→∼q∼�→∼�E. ∼q→∼p∼�→∼�F. ∼p→q∼�→� FILL BLANK: Statement 2 is the ________ of Statement 1.A. contrapositiveB. inverseC. converse Statement 1 and Statement 2 are:A. equivalentB. not equivalent

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