8. For each of the following relations on N, determine which of the properties are satisfied. (a) S1 = {(x, y) | y divides x} (b) S2 = {(x, y) | æ + y is odd} (c) S3 = {(x, y) | xy is odd}

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A: Here, C=1,2,3,5X=4,6,9

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Q: -1/2 8. Ž Pn (x) q^ generobr x,2) = (1-2xz + 2?) of legendre polynañials ,oblin the (2n+) xPa W=h+D…

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Q: C. Let T be defined onN N by (a, b)T (c, d) if and only if a c and b 2 d. Write down the full nature…

A: We will use the basic definition of reflexive, symmetric, antisymmetric and transitive realtion.

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A: (NOTE- The relation R should be from Y to Z instead of A to B.) Given sets are, Y=0,1,2 and Z=0,1…

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A: Introduction: It is required to identify the correct option.

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A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: 8. There is a jump discontinuity at x = 2 and f(2) = 3

A: Follow the procedure given below.

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Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A: To determine the end behavior of the below graph.

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A: We know the values of f(x) are given in the y axis, so y = f(x). y is the dependent variable and x…

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Q: 4. Given s and t, relations on Z, s = {(1,n) : n € Z} and t = {{n,1) : n E Z}, what are st and ts?…

A: Solution

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A: The critical points of a function are the points where the derivative of the function is not defined…

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Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

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A: given data x~N (100,20)here μ = 100σ=20p(X≤x)= 0.7605we have to find out the value of x for given…

Q: Question # 01. Consder z= {acbos a-b =0; S2 Interpet that eguivale nce relation. ~ 18 is

A: That's easy, just show that this relation is reflexive, symmetric and transitive.

Q: 2- i) Let B {(x,y):x,y eZ and 3(x-y)}. Show that B is an equivalence relation. Find equivalance…

A: A relation is said to be equivalence relation of it is reflexive, symmetric and transitive.…

Q: 10.9. Determine which of the following five relations R; ( i =1,2,..., 5) are functions. a. R1 is…

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (c) Suppose n = 5 and m = 4, determine the number of onto functions from A to B.

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Q: 1 and the domain for g(x) is a s as x-> inf, f(x) -> inf and the

A: Domain of a function: All the possible values of x that makes the function f(x) valid or the values…

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A: Given Problem is solved in attachment.

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A: Given, ∆ABC  and  ∆DEF      We have to write the congruence  relation for ∆ABC  and  ∆DEF

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Q: 10. Find all of the discontinuities that exist for g(x) = 2*+3x-4 Show any work required to %3D x+1…

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Q: any n > N(\epsilon) | fn(x) - f(x) | < \epsilon

A: The Weierstrass approximation theorem states that every continuous function defined on a closed…

Q: 1. Let x, y € Z. For the following, fill in the blank to make a true statement about parities. No…

A: (a)  odd (b) even

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A: Continuity

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4

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Q: 3 Q7- Let fw=ex-y, Find a fun ction y =gcW So that f. 9) (x) = X+ 2 .

A: Given f(x)=2x3-4 To find a function y = g(x) such that  (fog)(x)=x+2