4. Let R be the relation defined byR= {(0, 1), (0, 2), (2,0), (2, 3), (4, 4), (2, 4), (3, 3), (1, 2), (1, 3), (3, 2)}.Evaluate dom(R), ran(R), Ro R, R|{1},R-1 | {1} , R[{1}], and R-1[{1}].

let R be the relation defined by…

Answered: R= {(0, 1), (0, 2), (2,0), (2, 3), (4,…

R= {(0, 1), (0, 2), (2,0), (2, 3), (4, 4), (2, 4), (3, 3), (1, 2), (1,3), (3 Evaluate dom(R), ran(R), R o R, R| R-1 IS1 RILLI and R-1[S1y

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: 5. (i) If gcd(a, b) = 1 and c| (a + b), then ged(a, c) = 1 and gcd(b, c) = 1. (ii) If ged(a, b) = 1…

Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: (1) True or false: Whenever there are 19 girls and 19 boys are seated around a circular table, there…

A: There are 19 Girls and 19 boys. To make them sit around a circular table the sequence can be, G G…

Q: Let {(=) = In ="(z +2)*(z² + 9)] f'(x) =

Q: 2 If C = |2 -1 0 Show that (C")-1 = (C-')" -2 2 2

Q: Which of the following sets spans Rº 3 None O {(1,2,3),(0,0,0)(-2,1,0)} {(2, – 1,2),(4,1,3),(2,2,1)}…

A: vectors span R3 means that some combination of the vectors can take up all of the space in R3.

Q: Let gcd(a, b) = d then which of the following is correct (i) dla (ii) dlb (iii) d(ax + by) (a) only…

A: The correct option is option (d) all the three. The detailed explanation is as follows below :

Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: How many 5-tuples (x, y, z, u, v) of natural numbers satisfy x + y+ z+u + v = 20? Let x= X-1,…

Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

Q: 4. Let gcd(a, b) = d then which of the following is correct (a) d = ab (b) (ax + by)|d (c) d[(ax +…

Q: 7. Let a E R. Let S = {p(t), q(t), r(t)} be the subset of P with t2 + p(t) q(t) r(t) (a + 3), (а —…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (e) ((SNT)US) (f) U-S (called the complement of S) Given that the set S contains n elements, show…

A: To show that a set S with n elements has 2^n subsets, you can use the concept of the power set. The…

Q: 11. Let R₁ and R₂ be the relations on {1,2,3,4} given by R₁ = {(1,1), (1,2), (3,4), (4,2)) R₂ =…

Q: 41-50. Differentials Consider the following functions and express the relationship between a small…

A: Given,f(x)=2x+1 Differentiating both sides w.r.t x we get:…

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are %3D %3D two sets. find R = {(x, y): x E X and y E Y…

Q: Let A = (1,2), B = (1,3,4) C (2,3, 4} and U = (1,2,3,4,5), then [Cn (B- A)] = O {3.4} O {1.2} O {3}…

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

Q: 7) J(1, 1), K(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 8) E(0, -5), F(-1, -3

Q: Let X = (1, 2, 3, 4, 5, 6) and let T1= (X, 4, {3}, (1,2,3), (2,3,4), {2}} and T2 = {X, 4, (2),…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Does S={(1,0,1),(2,1,0),(3,,1,1),(1,1,1)} spans R³ ? Select one: O True O False

A: Given: S={(1,0,1),(2,1,0),(3,1,1),(1,1,1)}

Q: Then where a11 a31 - 1 1 a32 = a12 || 1 a33 || a13 A = A-1 - 1 1 7 0 7 7 -9 8 a11 a12 a21 a22 a31…

A: Let A be a square matrix. Then the matrix A-1 are the cofactor matrix divided by det A

Q: If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'

A: Given that If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'

Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

Q: Define relations R₁, ..., R₁ on {1, 2, 3, 4} by R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,…

Q: Suppose E = {a, b, c, d, e, f, g, h, i, j}, %3D A= {a, b, c, d, e, f, g}, B= {b, d, f, i, j}, C =…

A: Given sets are

Q: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

Q: Then, there exists k1≠0, k2≠0 such that a,b=k1c,k1d and c,d=k2e,k2f. a,b=k1c,d=k1k2e,…

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

Q: •ffe -32²-3y² dA; R= {(x, y)\x² + y² ≤ 4, x ≤ 0,y>0} R 4. (Section 16.3) Evaluate

Q: Find lim Ax-0 f(x+1 + Ax) = f(x) - Ax f(x) = 3x². - 9x Step 1 Find f(x + Ax) by substituting x + Ax…

A: Given f(x) = 3x2 - 9x

Q: Let Z = (0, 1, 2, 3} and the relations R, S, and T on Z are as follows: %3D R = {(0, 0), (0, 1), (0,…

A: Let Z=0, 1, 2, 3 and are the relations R, S and T on Z Given R=0,0, 0,1, 0, 3, 1,0, 1,1, 2,2, 3,0,…

Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

Q: Let A, BCR x R defined by A= {{n,m)|n, m € N, 0 < 2m(n + 1) – 3 < 5}, and B = {(1,1), (1,2), (2, 1),…

Q: The R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 2), (2, 3), (3, 4), (3,…

A: Here, R=1,1,1,2,2,3,3,4S=1,0,2,1,3,2,3,0,4,1

Question

100%

4. Let R be the relation defined by
R= {(0, 1), (0, 2), (2,0), (2, 3), (4, 4), (2, 4), (3, 3), (1, 2), (1, 3), (3, 2)}.
Evaluate dom(R), ran(R), Ro R, R|{1},
R-1 | {1} , R[{1}], and R-1[{1}].

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ring$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

If v = (3, –1, 1) and w = (-2, –2, –2) , what is v x w ? о (-4, —4, 8) О (4, —4, —4,) о(), 4, 4,) о (), —4, —4,) о (4, 4, —8)
{a, b, c}, C = {2, 7, Suppose g: A → B and f: B → C where A = {1, 2, 3, 4}, B = 10}, and f and g are defined by g = {(1, b), (2, a), (3, a), (4, b)} and f = {(a, 10), (b, 7), (c, 2)}. Find f•g by filling in the table below. A 1 2 4 3.
4. Let u (3, 1, 2), v₁ = (1, 0, -1), v2 = (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = c₁v₁ + c2V2 + C3V3.
Show that if a \ b and gcd(b, c) =1 Then gcd(a,c) = 1
(1) If U is a neighborhood of x0 and U ⊂ V, The V is a neighborhood of x0. (2) If U1 ...., U2 are neighborhoods of x0, so is ⋂ni-1U1
Let the universe U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4}, B = { n |n is odd}. Find %3D (AUB)' × A = ? O {(6, 2), (6, 3), (6, 4), (8, 2), (8, 3), (8, 4)} O {2, 3, 4, 5, 6, 8} {(2, 6), (2, 8),, (3, 6) (3, 8), (4, 6), (4, 8)} О (2, 3), (2, 4), (2, 6), (2, 8), (3, 3), (3, 4), (3, 6), (3, 8), (4, 6), (4, 8)}
If x + y + z = 1 and x, y, z are positive, then show that 2 (+ + +)* • (-+ +)* · · · ! )* > 100 + x+ +y+ +z+ X y Z 3
3
(1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7). Compute the following sets (a) A x B (b) (ANC) - B (c) BUC (d) AC (2) Let a, b and c be integers. If alb and alc, then a (b + c).
Let Aį = [i, i + 1], i = 1, 2, 3, .... Then A₁ A₂ A3 A4 is. a. {1,2,3,4,5} b. (1,5) c. {} d. [1,5] Ob Oc Od a
What is the composite of the relations R and S, where R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 4), (2, 3), (3, 1), (3, 4)} and S is the relation from {1, 2, 3, 4} to {0, 1, 2} with S = {(1, 0), (2, 0), (3, 1), (3, 2), (4, 1)}?
If R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)}, what is the reflexive closure of R? O {(1, 2), (2, 1). (1, 4), (4, 1). (2, 3), (3, 2), (3, 1). (1, 3), (4, 2), (2, 4)} O {(1, 1), (1, 2), (1, 4), (2, 2), (2, 3), (3, 1), (3, 3), (4, 2), (4, 4)} O {(1, 2), (1, 4), (2, 3). (3, 1), (4, 2)} O {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1). (3. 2). (3, 3), (3, 4), (4, 1), (4, 2). (4, 3), (4, 4)}