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Question: The Cataloguer avoids relabeling as follows: "every entry number has a value between 0 and 1. Let's say I have a list of entry numbers and I need a new one. I just write down a decimal point, and then I go through the list. I write down a digit that is different from the first digit of the first number, and then I write down a digit that is different from the second digit of the second number, and I continue in this fashion. When I've gotten through the list, I know that I have a new number because it is different in at least one place from each number on the list."
(a) What is the set of entry numbers?
(b) How does its cardinality compare to that of N? Explain.
Let A be an array of length n - 1 (whose elements are chosen from some ordered set), sorted into increasing order.
How many weighings of a balance scale are needed to find a counterfeit coin among 12 coins if the counterfeit coin is lighter than the others? Describe an algorithm to find the lighter coin using this number of weighings.
Does body weight have an influence on the blood cholesterol level? To answer this question what variables do you think the researcher would measure? Which would be the i.v. and which the .d.v.? Why?
Use a double integral to find the volume of the solid bounded by the graphs of the equations:
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
specify the sequence of transformations that will yield the graph of the given function from the graph of f(x) =x^3
FALLING OBJECT Joan is looking straight out a window of an apartment building at a height of 32 ft from the ground. A boy throws a tennis ball straight up.
A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot.
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2.
In deciding the number of persons in each category the following constraints must be taken into account.
The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack sale
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