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Question: 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.
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
Why -2=-x , is x=2 Explain.
What is the estimate probability of randomly choosing a battery with between 1970 and 2030 hours.
suppose that for a certain company c(x)=45x+500,000 represents the total cost function, and R(x)=55x represents the total revenue function. Find the total-profit function and break-even point.
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
How many reflexive relations are there on a set with n elements?
The height h, in feet of a golf ball shot upward from a ground level sprint gun is described by the formula h=-16tsquared+48t where t is the time in seconds. When will the ball hit the ground again?
Calculate the mean and standard deviation of the random variable X associated with these data.
A baker has 150 kilograms of flour, 22 kilos of sugar, and 27.5 kilos of butter with which to make two types of cake.
1) Suppose || · || and || · ||' are two arbitrary norms on Rd. Prove that || · ||'', defined by ||x||'' = ||x|| + ||x||', x ∈ Rd,is also a norm on Rd. 2) Suppose {xn}∞n=1 is a sequence in Rd converging to y. Show that y is the only accumulation poi..
a sales manager for an advertising agency believes that there is a relationship between the number of contacts that a
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