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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.
In the earlier section we looked at using factoring & the square root property to solve out quadratic equations. The problem is that both of these methods will not always work. Not
how do you simplify 18 over 24
x squred y+ x
1). Using the function: y=y0,(.90)^t-1. In this equation y0 is the amount of initial dose and y is the amount of medication still available t hours after drug is administered. Supp
Example Evaluate log 5 7 . Solution At first, notice that we can't employ the similar method to do this evaluation which we did in the first set of instance. It would n
Example: Solve following. | 10 x - 3 |= 0 Solution Let's approach this one through a geometric standpoint. It is saying that the quantity in th
Solve following. 2 x - 4 = 10 Solution There actually isn't much to do other than plug into the formula. As with equations p merely represents whatever is within the a
Some of the grouping symbols are braces,brackets,and parentheses.
Scenario: A client comes to you for investment advice on his $500,000 winnings from the lottery. He has been offered the following options by three different financial institutions
(-11,-3),(0,-7)
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