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Question: Suppose you hash n items into a hash table of size k. It is natural to ask about the time it takes to find an item in the hash table. We can divide this into two cases, one when the item is not in the hash table (an unsuccessful search), and one when the item is in the hash table (a successful search). Consider first the unsuccessful search. Assume the keys hashing to the same location are stored in a list with the most recent arrival at the beginning of the list. Use our expected list length to bound the expected time for an unsuccessful search. Next consider the successful search. Recall that when we insert items into a hash table, we typically insert them at the beginning of a list, and so the time for a successful search for item i should depend on how many entries were inserted after item i. Carefully compute the expected running time for a successful search. Assume that the item you are searching for is randomly chosen from among the items already in the table. (Hint: The unsuccessful search should take roughly twice as long as the successful one. Be sure to explain why this is the case.)
1. how does technological advancement affect the ability to collect data? provide examples. does this advancement
If C(c is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 16,000 + 170x + 4x3/2. Find production level that will minimize the average cost
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function:
Suppose six pairs of similar-looking boots are thrown together in a pile. How many individual boots must you pick to be sure of getting a matched pair? Why?
question at work one day erica franz received 35 packages. speedy delivery delivered twice as many as ralphs express
Compute (d/dt) f(c→(t)) using the Chain Rule. Compute (d/dt) f(c→(t)) without using the Chain Rule, but instead first writing the composition f(c→(t)) as a function of t, then differentiating with respect to t in the usual Calc I way.
An observer to a rocket launch was 1800 feet from takeoff position. The observer found the angle of elevation of the rocket as a function of time to be theta=3t/(2t+5).
1.A sum of $8,000 is invested in a savings account which pays interest at a rate of 9 percent per year compounded annually. If the amount is kept on deposit for 6 years, what will the compound amount equal? How much interest will be earned during the..
A class is answering a multiple choice question with 4 choices what fraction of the class should pick the correct answer if they are not guessing but using their knowledge
Solve the problem, max f (x, y) = 24x - x2 + 16y - 2y2 subject to g(x, y) = x2 + 2y2 = 44.
consider the region bounded by the curves y=pi/2 and below by the curve sin(y)=(x)^1/2. suppose we rotate this region about the x-axis to make a solid, and want to find the volume.
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