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Consider the following problem. Given a set A of elements with a linear order and a positive integer k, k ≤ |A|, find the k-th smallest element of A. Obviously, one can solve this problem by sorting A and then taking the k-th smallest element. But one knows that the complexity of sorting by comparisons is in Θ(n · log n) and so this naive approach is too costly for searching for the k-th position in the sorted sequence only.
Traditionally, jewelers advise men to spend two months' salary on an engagement ring for their fiancée. Arnie is shopping for a ring for Sasha, his bride-to-be. If Arnie's annual salary is $30,000 and he follows the tradition, what will he spend o..
Find any matrix function A(t) such that the exponential function exp(integral from 0 to t fo A(x) ds) is not a matrix solution of the system x' = A(t)x. However, show that the given exponential formula is a solution in the scalar case (A(t) in R), an..
The bucket is filled with 43 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your ans..
Calculate the rate at which the family's monthly gasoline bill is increasing at this time. Give your answer correct to the nearest cent per month.
Formulate this problem as an LP solve using Solver in Excel, From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have..
Find the partial fraction decomposition - x/(x4-1)
This history becomes important because you must address a major problem confronting your hospital, and it is essential that the departments headed by Jack and Robert be key parts of the matrix team that you are developing. It is obviously vital th..
consider the following five bundles of pens containing the quantities shown below.bundle number of pencils population
An ATM personal identification number (PIN) consists of 4 digits. How many PIN's are possible?
Prove the Giftbox Theorem using the method of contradiction - Determine which of the original statement or the negation is true.
twenty minutes after being launched a hot-air balloon has risen to an altitude of 300 meters. the pilot can still see
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
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