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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.
does total surface area mean total exposed area
There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the
5/4:3/7
-3t^2+15t-18
Can you get me more questions to practice on this.
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
#can u tell me some things on rigid and non rigid transformations
The last topic that we have to discuss in this section is the change of base formula. Most of the calculators these days are able of evaluating common logarithms & natural logar
A college student invested part of a $25,000 inheritance at 7% interest and the rest at 6%. If his annual interest is $1,670 how much did he invest at 6%? If I told you the answe
find the average rate of change of the function f(x)=4x from X1=0 to x2=6
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