3. Use finite differences to determine whether each relation is linear, quadratic, or neither. a) y b) y 4 3 1 5 1 4 2 6. 2 7 3 7 3 12 4 8. 4 19 c) y d) y 1 -2 6 1 1 5 4 12 7 27 7 42 64 10 90 -Nm

Q: 10.5 Prove that the following inequalities hold for all points x, y e R" : d* (x, y) S d(x, y) < n…

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Q: Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

A: There are 3 elements in A And there are 2 elements in B

Q: Let A be the set of all students of a boys school. Show that the relation Rin A given by R = {(a, b)…

A: It is given that, A is the set of all students of a boys school.Show that R is an empty…

Q: In Q1-Q4 prove why each relation has or does not have the properties: reflexive, symmetric,…

A: Since you have asked  multiple questions so as per guidelines we will solve  the first question for…

Q: Come up with an open interval A and closed interval B such that A U B = (0,4) and A (upside down U…

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Q: Four relations are shown below. -4 1 4. 6. 1. III {(1,2), (2,5), (3,8), (2. –5), (1,–2)} y =x² II IV

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Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

Q: 2.  LetA={0,1,2,3,4}.  Write out the relation R that expresses ≥ on A.

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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: Ex 3.7.1 Construct the correspondences between the indicated sets. a) Z10 and Z2 × Zg b) Z15 and Z3…

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Q: Given a relation from Z (positive integer) to Z (positive integer) is defined as follows: ((m, n) E…

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Q: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.Is R reflexive?…

A: In this question we have to explain Is the given relation is reflexive.

Q: Let S be the set of ordered pairs of positive integers, and define (a,b) R (c,d) to mean that 2a-d =…

A: A relation R is transitive on a set A if xRy and yRz then xRz for all x,y and z belong to A. Now,…

Q: Let L be the set of all lines in XY plane and R be the relation in L defined asR = {(L1, L2) : L1 is…

A: Line L is parallel to itself. This means L is parallel to L.So, (L,L)∈RSo, R is reflexive.

Q: Use the Ruler axiom to prove that there is a one-to-one correspondence between any two lines.

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Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: 5. when: Let be a relation where R = {(a, b): pair a,b are cross streets in city A}. Sh (a) (a, b) e…

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Q: ) 5. Determine whether the following relations are reflexive, symmetric, antisymmetric, and/or…

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Q: Let A, B, C, and D be sets.

A: First, (AxC)U(BXD) ⸦(AUC) x(BUD)Take left hand side first , let  (x,y) ∈(AxC) U(BxD)=&gt; (x,y)…

Q: Given a natural number c ∈ N. The relation Rc is defined as follows: ∀ a, b ∈ N :  (a, b) ∈ Rc ⇔ (∃…

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Q: Consider the relations given below: xRy:x loves y xRy:x2y iii. xRy:x is in the same classroom with y…

A: If x = y and y = x then we can say that relation is symmetric relation.

Q: Consider the recurrent relation An = 2 An-1 - 3 and Ao = 2, n 1 %3D Then A2 equals O a. 1 b. 10 Oc.5…

A: Recurrence Relation:  A Recurrence Relation is an equation that defines a sequence based on a rule…

Q: Draw the shape of relation z - V3e Зе V3.

A: We are given the relation : z-3eiπ3=3---(1) Now, Let, z=x+iy---(2) Now, 3eiπ3=3cosπ3+i…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: 1. Consider the relation R1: R - R such that (r1, y1)R1 (X2, y2) if and only if both points are on…

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Q: Characterize the relations in questions 14 and 15 in terms of whether each is reflexive,…

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Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: 4.4.4 List the relation on N defined bv h(x, y) e N x N : x > y } 9 Scanned with CS CamScanner as a…

A: The relation given is already a subset of the Cartesian product N x N. It can be written as follows.

Q: A. By determining whether the relation R on the set of integers possesses the types of relation,…

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Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

Q: Let A = {1,2,3,4}, B = {2,3,4,5}, and C = {2,4,6,8,10}. Suppose R is a 3-ary relation that is…

A: To determine the triples in the array.

Q: d. The business major has attended FSU for 4. Let C = (0, 1, 2} and D = (2,4,6, 8) and define a…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element?…

A: R=4,21,2,5,1a. (1,2) is not the element of R because from Hass diagram 2 is related to 1    here…

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: 3. Suppose that we have the following four tuples in a relation S with three attributes ABC:…

A: Given: Let us consider the four tuples, ABC:1,2,3,4,2,3,5,3,3,5,3,4. Let's determine the…

Q: 1. Let A = {1, 2, 3, 4, 5, 6}. Write out the relation R that expresses | (divides) on A.

A: The relation R that express |(divides) on A is represented by, R={(x,y)| x,yϵA, x|y}

Q: Is anyone of the veetors e. 2-, ERa linear combination of the others? If so, find the relation(s)…

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Q: A. By determining whether the relation R on the set of integers possesses the types of relation,…

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Q: Without graphing, determine which of the followingdata sets are exactly linear, approximately…

A: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y…

Q: the 品|名 Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A b) as follows: For every (x,…

A: using the concept of relation ...

Q: 1. Consider the relation R1 : R2 - R² such that (r1, y1)R1 (x2, y2) if and only if both points are…

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Q: Define a relation R on Z as follows: For all integers m and n, m Rn = 5|(m² - n²). (a) Is 1 R (-4)?…

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Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c),(b,d),(b,e),(d,e)}

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Q: 9.16. Let A = {a, b, c, d}. How many relations defined on A are reflexive, symmetric and transitive…

A: given A=a,b,c,d claim- how many realations defined on A are reflexive , symmetric and transitive and…

Q: Let A= (2,3,4) and B= (2,6,8) and let R be the "divides" relation from A to B:  For all (x, y) £ A…

A: Now, A=2,3,4 and B=2,6,8 The set A×B is: A×B=2,2,2,6,2,8,3,2,3,6,3,8,4,2,4,6,4,8 We have the…

Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B.…

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