1. There are 4 roads from other cities coming in to vertex A. 2. Graph I is connected because all vertices have at least one path connecting them. 3. This graph is not an Euler circuit because not all edges have been covered. 4. In order for a graph to have an Euler circuit, all vertices must have even valence. Graph II is an Euler circuit because all vertices have even valence. 5. In order for a circuit to be an Euler circuit, each path must be covered once and only once. Since some edges in this graph have been covered twice, this graph cannot be an Euler circuit. 6. This graph is an Euler circuit. Each edge has been covered once and only once and all edges have been covered. 7. Two edges need to be added to this graph to make it an Eulerized graph. Adding the two edges to the vertices with odd valences will make all valences even. 8. Graph D is the best Eulerization of the graph. B is not Eulerized, and A and C have more paths being traveled more than once than graph D does. Since the purpose of Euler circuits is to find the optimal solution, the ideal solution is to have less edges being retraced. 9. Three real world applications in which a worker would want to find an Euler circuit on a street network would be a garbage collector, a street sweeper, and mail delivery. 10.A) An Euler circuit would be ideal. There are a small number of vertices (houses) and finding a path without having to retrace would most likely be simple.

B) An Eulerized graph would be the solution in this case. It would most likely be impossible to inspect every traffic light in a city without retracing at least a few streets. An Eulerized graph would help plan out a path with the least amount of retracing.

C) Again, an Euler circuit would be possible. A small number of vertices to visit would make finding a path without retracing possible.
D) An Eulerized graph would be the best solution in this situation. With all city streets needing to be inspected, it would...

...Friction is not itself a fundamental force but arises from fundamental electromagnetic forces between the charged particles constituting the two contacting surfaces. The complexity of these interactions makes the calculation of friction from first principles impractical and necessitates the use of empirical methods for analysis and the development of theory.
The work done by friction can translate into deformation, wear, and heat that can affect the contact surface properties...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...Government wish to respond to developments in areas other
than our own, the capabilities being developed for our national defence will,
subject to national requirements at the time, give a range of practical options.’20
This has been one of the core principles of Australian defence policy for
several decades, and the question of its future is at the heart of our current policy
debate. The idea is simple enough, but it has been more disputed than analysed.
To supporters, it...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total...

...what is 1+1 and your answer, or course, is going to be 2. But what if God responded to that elementary question with the answer of 3? Would you question it? Or would you take His answer as-is because He is all knowing? I am going to explore through math whether or not we, as Christians, it is wrong to question God.
A bible verse that immediately comes to mind on the subject of the impossible is when Jesus feeds the five thousand.
13 When Jesus heard what had happened, he...

...Course Project Milestone 2
Interview Guide and Questions Form
This is a form to record your information for this assignment.
Review the Course Project Milestone 2: Interviewee Guide and Questions guidelines and grading rubric in Doc Sharing (Assignments) prior to completing this form. Review the document in Doc Sharing entitled, NR391 Question Tips. Refer to Appendix A in your text and select five categories upon which you will concentrate for your interview guide and questions.
Type...

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