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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.
how do i do the fundamental counting principe
Part A. relates to data representation and Part B. relates to Boolean logic. Part A. Data Representation The very first thing you need to do to begin Part A is to make
ron the realtor is offered a job directly out of real-estate school. he has a choice as to which way he will receive his salary the first year. salary plan 1: he would receive a
-2x +7 =11
the words and definitions to study please :)
In this section we will look at exponential & logarithm functions. Both of these functions are extremely important and have to be understood through anyone who is going on to late
First, the standard form of a quadratic equation is ax2 + bx + c = 0 a ≠ 0 Here the only needs are that we have an
-3x+4y>-12
(x-y+z)2=
SUPPOSE Y IS DIRECTLY PROPORTIONAL TO X AND THAT Y = 35 WHEN X = 5 FIND THE CONSTANT OF PROPORTIONALITY K K=
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