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Question 1:
(a) Describe a binary operation on a set S.
(b) Give the definition of a group.
(c) State whether the following statements are TRUE or FALSE. Justify your answer.
(i) The set of natural numbers is closed with respect to multiplication.
(ii) The set of integers is closed with respect to division.
(iii) The set of rational numbers contains the additive inverse for each of its members.
Question 2: Euclidean Algorithm
(a) Explain how the Euclidean algorithm is used to calculate the greatest common divisor of two integers a and b.
(b) Under which condition does the equation ax + by = d, where a,b,c ,a,b ≠ 0, has solution in
(c) Find x, y such that 2431x + 1324y = 11.
(x2y4m3)8
The cost of a can of Coca-Cola in 1960 was $0.10. The exponential function that models the cost of Coca-Cola by year is given below, where (t) is the number of years since 1960. C
First, the standard form of a quadratic equation is ax2 + bx + c = 0 a ≠ 0 Here the only needs are that we have an
I have an algebra test tomorrow and still don''t understand how to simplify and solve radicals
coffee was 2.50 yesterday and 2.85 today. what percent did it go up?
Determine a list of all possible rational zeroes Let's see how to come up along a list of possible rational zeroes for a polynomial. Example Find a list of all possible
answer in scientific notation correct to the ten thousandths 471,598,000,000
xifx+6=33..
330 radians
5(-4x+70+5
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