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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.
b^4* b^6
does total surface area mean total exposed area
y2/3(y4/3\y1/3
Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?
Solve x =√(x+ 6) . Solution In this equation the fundamental problem is the square root. If it weren't there we could do the problem. The whole procedure that we're going
if you have coupon for 450 off your camera purchase of $100 or at Zeke''s camera world. write a function relating a camera''s purchase price after coupon.y, to the retail price,x.
Nel skates at 18 mph and and Christine skates at 22 mph if they can keep up that pace for 4.5 hours how far will they be a part at the end of the time
what is 500 times 70
Given f ( x ) = 3x - 2 find f -1 ( x ). Solution Now, already we know what the inverse to this function is as already we've done some work with it. Though, it would be n
5x8y+9x=0,y=5
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