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Question: The longest path problem in a weighted directed graph with no simple circuits asks for a path in this graph such that the sum of its edge weights is a maximum. Devise an algorithm for solving the longest path problem.
A farmer goes to the market and buys 100 animals at a total cost of $1000. If cows cost $50 each, sheep cost $10 each, and rabbits cost 50 cents each, how many of each kind does he buy?
Look up the definition of a transcendental number. Explain how to show that such numbers exist and how such numbers can be constructed.
For the motion described, graph the position vs. time, velocity vs. time, and acceleration vs. time, on the grids provided.
With the presence of strong competition in global markets, what is the future of Uber in the global marketplace? Should Uber compete only in the US market? What are the advantages and disadvantages of doing so?
Row reduce the matrices in reduced echelon form.
Find the dimensions of the enclosure that is most economical to construct.
Find an equation for the hyperbola with the focus (11,12) and asymptotes 4x-3y=18 and 4x+3y=30. Find the arc length of the curve given by x = sin t - cos t, y = sin t + cos t, pi/1
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
Vectors as linear combinations of the vectors
Assume that a chocolate bar consists of n squares arranged in a rectangular pattern. The entire bar, a smaller rectangular piece of the bar.
Show that 12!+ 1 is divisible by 13, by grouping together pairs of inverses modulo 13 thatoccur in 12! and hat is the remainder when 5!25! is divided by 31?
What powers does the board of directors have? What is the source of their powers?
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