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Let G be a connected graph. Let p1 and p2 be two paths in G.
1) Prove that if p1 and p2 have no vertex in common, then there exists a path p3 with its vertex in p1 and its last vertex in p2 and any remaining vertices that are not in vertices of p1 and p2.
2) Prove that if p1 and p2 are two longest paths of G, then they have a vertex in common. You may assume 1).
1. How might a particular actual or hypothetical argument that a worthwhile goal (end) justifies use of unethical persuasive techniques (means) be viewed as an example of Situational Perspective?
find the equation of the regression line for the given data. what is the predicted value of y when x -2? what is the
What is the average number of customers at the tax service, whether waiting for the tax preparer or having the return prepared?
Find dy/dx is the following function y = cos-1 (2x/1+x2), -1
Natural disasters and wars are crises that impact every type of economy, regardless of economic system. All types of economic systems struggle to respond quickly to such destruction.
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
A plane is heading due south with an airspeed of 229 mph. A wind from a direction of 52 degrees is blowing at 13 mph. Find the direction the plane is actually headed. (Note that bearings are measured from north, clockwise.
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Develop a quadratic function to model data of production and selling price and determine the average rate of change in the height of the boulder.
Specific PerformanceLiz Claiborne, Inc. (Claiborne), is a large maker of sportswear in the United States and a wellknown name in fashion, with sales of over $1 billion per year.
Discuss how an axiomatic set theory can be developed to avoid Russell's paradox. Use the internet as a source for writing a one or two page essay on the topic.
What is the better investment and by how much: putting $300 a month into an RRSP that pays 6% compounded monthly or putting $3600 at the end of each year into an RRSP that pay 8% compounded annually?
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