Let D30 (1,2,3,5,6, 10, 15, 30), and define a partial order on Dao by x ≤ y if 1 and only if a divides y. Draw the Hasse diagram for the poset (D30, ≤).

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: Part 2. Each relation given below is a partial order. Draw the Ilasse diagram for he partial order.

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Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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Q: Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,1), (1,2), (1,4), (2,2),…

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Q: Consider the partial order with domain{3,5,6,7,10,14,20,30,60}and with x ≤ y if x evenly divides y.…

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: 2. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation on AxB defined by xRy when x + 2y is…

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.  A relation defines the…

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: 3. Show that the relation R (called lexicographic ordering) defined on Z x Z by: (a, b)R(c, d) if (a…

A: The lexicographic ordering relation R on ℤ×ℤ is defined by, a, bRc, d if a>c or a=c and b≥d Show…

Q: Consider the partial order with domain {3,5,6,7,10,14,20,30,60} and with x ≤ y if x evenly dividesy.…

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Q: 2. Let A = {1,2, 3}, B = {4,5, 6}, R = {(1,4), (1, 5), (2,5), (3, 6), and || %3D S = {(4,5), (4, 6),…

A: Given set in the question are  A=1,2,3B=4,5,6R=(1,4),(1,5),(2,5),(3,6)S=(4,5),(4,6),(5,4),(6,6)Then…

Q: (c) 60 70 M 30 14 6 10 | | 3 5 7 2 20 바 30 6 3 60 20 10 | 5 70 14 7

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Q: Identify the missing ordered pairs from the given list. The list of all ordered pairs in the given…

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Q: Find the final amount of money in an account if $7, 600 is deposited at 6.5% interest compounded…

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Q: Bhavika Investments, a group of financial advisors and retirement planners, is providing advice on…

A: Let x represents the dollars invested in stock fund and y represents the dollars invested in market…

Q: Let A be the set {1,2,3,5,6,8, 10, 12}. Let R be the partial order on A defined so that (a, b) is in…

A: A Hasse diagram is a graphical representation of the relation of elements of a partially ordered set…

Q: Let A = {2,6}. Consider the set B = A x P(A) (where P(A) is the power set of A). Define a partial…

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Q: Consider the partial order with domain {3,5,6,7,10,14,20,30,60} and with x ≤ y if x evenly divides…

A: Let , A=3,5,6,7,10,14,20,30,60R be the relation on A such that-v  x,y∈R .  xRy iff x≤y & x…

Q: 5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1,…

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: 60 30 20 20 10 10 (iii) (iv) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14,…

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Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

Q: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: 9. List the ordered pairs in the equivalence relation on A = {1, 2, 3, 4, 5} associated with these…

A: Equivalence relation is relatuon which is reflexive, symmetric and transitive.

Q: Suppose f : B C where B = {a, b, c}, C = {2, 8, 10}, and f is defined by f = {(a, 8), (b, 10), (c,…

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Q: Consider the relation{(1,1), (1,3), (1,4), (2,3), (2,4), (3,1), (4,1), (4,2)} on the set a.…

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