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Question: a) Define the greatest common divisor of two integers.
b) Describe at least three different ways to find the greatest common divisor of two integers. When does each method work best?
c) Find the greatest common divisor of 1,234,567 and 7,654,321.
d) Find the greatest common divisor of 2335577911 and 2937557313.
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
The walls and ceiling in your bedroom need to be painted, and the painters' estimates to do the work are far too expensive. You decide that you will paint the bedroom yourself. Below is the information to help you solve the problem:
Formulate this problem to find the best combination of the two supplements to meet the minimum requirements at the least cost. Solve for the optimal solution by the simplex method.
Conduct a search on the Internet for standard security guidelines for industries such as banking, retail, and finance. Compare and discuss the recommendations of each set of standards. How does each industry differ from or resemble others in terms..
In a sample batch of 36 mechanical pencils it is assumed that 10 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
The television screen at a sports arena is vertical and 8.0 ft high. The lower edge is 25.0 ft above an observer's eye level.
How is det A(-1) related to det A? Experiment with random n X n integer matrices for n = 4, 5, and 6, and make a conjecture.
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. Finde the value of an angle θ with the vertical when the string breaks.
Give examples to show that the finiteness of the collections in parts c and d is essential. For any finite collection G1, G2, ...., Gn of open sets, intersection (at the top of the intersection sign is n and at the bottom is i=1) of Gi is open.
The amount of pollution varies directly with the population of a city. City A has a population of 6 60,000 people and produces 4 1 0,000 tons of pollution.
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