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Suppose that G is a directed graph with no circuits. Describe how depth-first search can be used to carry out a topological sort of the vertices of G.
For the squeeze theorem to be applicable in this case, the constant A must be equal to a specific number. Find this number and assuming that A is that number for which the squeeze theorem is applicable, find lim x->48 f(x)
find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
How many riders must you survey (take for test rides) to be 90% confident that the sample proportion is off by no more than five percentage points
problem 1 you are standing at the edge of a slow-moving river which is one mile wide and wish to return to your ground
Eight parties have arrived and are waiting for tables at a restaurant but are seated in random order. What is the probability that the parties are seated in the order in which they arrived?
Quiz 6. Use a double integral to find the area of the region of points that lie inside the circle (x - 1)2 + y2 = 1 and outside the circle x2 + y2 = 1
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
Find the mass of the lamina described by the inequalities, given that its density isρ(x,y) =xy. x≥0, 3≤y≤3+sqrt.(9-x2)
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
Law of sines.
a moving company wishes to design an open-top-box with square base whose volume is exactly 32 cubic feet. find the dimensions of the box requiring the least amount of materials.
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