Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mappings) can you define from set A to set B, ƒ : A → B? %3D %3D

Q: Question 1: Give examples for sets with 3, 4, 7 elements. Write 5 statements about those sets which…

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

Q: Question 7 Which ordered pair is a point on the graph of f(x) = 3x + 1? O (4, 8) O (5, 17) O (3, 9)…

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Q: Question 14: Determine if the set of ordered pairs is a linear relation, quadratic relation, or…

A: Given, (-2,8),(-1,5),(0,2),(1,-1)

Q: Let A = {a{a}}, B = {0.b}. C = {{0}.c.{0.c}} and D = {0}. Find following cardinalities: a) |4|= |B\=…

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Q: Problem five : Find all maps : (Z, +) → (Q*, ×) satisfying (a + b) = o(a) X (b) Va, beZ

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Q: Problems 1. Let G be a simple graph. Prove that if there is a walk from A to B, then there is a path…

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Q: Question 15: Determine if the set of ordered pairs is a linear relation, quadratic relation, or…

A: A set of ordered pairs is a linear relation if the points represented by the set lie on a straight…

Q: Determine the global extreme values of the function on the given set without using calculus f(æ, y)…

A: The given function f(x,y)=8e-(3x2+6y2)with3x2+6y2≤1 To find the global extrema.

Q: Suppose that the functions u and w are defined as follows. u (x) = - 5x-2 w (x) = -x+3 Find the…

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Q: Problem 2: Find all discontinuities in the graph below, and identify which of the three continuity…

A: We have to find the type of discontinuities in the  given graph.

Q: a. If f(x,y) is convex with respect to (x,y) and C is a convex set, show that g(x) = infyec f(x,y)…

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Q: Problem 5. Let S be a subset of a universal set U. The characteristic function fs of S is the…

A: Given, fsx=1 fs=0 Part(a): For fa∩Bx=fAx·fBx Suppose x∈A and x∉B then, x∉A∩B So,  fA∩Bx=0And, fAx=0…

Q: (a) Let A = {a, b, c, d} and let R = (b, a), (c, c)}. (b) Let A = {1, 2, 3, 4, 5, 6, 7, 8} and let x…

A: a. Given  A=a,b,c,d R=a,b,(b,d),(a,d),(d,a),(d,b),(b,a),(c,c) b. Given  A=1,2,3,4,5,6,7,8 and xRy…

Q: Problem five : Find all maps : (Z, +) → (Q*, x) satisfying O (a + b) = 6(a) x o(b) Va, be Z

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Q: Iff: X→ Y is a function and F is a nonempty family of subsets of y, then o(ƒ˜¹ (F¹)) =ƒ˜¹ (0 (F)).

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Q: 20 The contour map displayed below corresponds to which of the following

A: The contour map for fx,y=2x2-y2 , for the values k=-5, 0, 2, 3

Q: Given sets A and B, how many constant maps are there from A into B?

A: Given Set A and B Let |A| = m |B| =n

Q: Given sets A and B, how many constant maps are there from A into B? Give an example.

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Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: PROBLEM 5 The number of watermelons in a truck are all weighed on a scale. The scale rounds the…

A: Answer is mentioned below

Q: example 3.19- for any set ax we may defined the function X x X -> X by function (u,v) = u. In…

A: The given question is solved below.

Q: Classify each of the following as either Discrete, Continuous, or neither Discrete nor Continuous:…

A: The objective of the study is to identify the data type for the given statement.   From the known…

Q: In Problems 17 there may be more than one linear mapping that works.) find a linear mapping that…

A: Given: Vertices of a triangle S are 0, 1 and 1+i and vertices of a triangle S' are 2i, 3i and -1+3i.

Q: √(t - 1) , y = √(1

A: x=(t-1)^(1/2)

Q: (a) Let sets S = {A, B} × {1,2} and T = {A, B} x {1,2,3, 4, 5} . How many different one to one…

A: Given sets are  S=A,B×1,2T=A,B×1,2,3,4,5 To find the number of different one to one functions from S…

Q: Problem 2: Relations Define he relation R on N as Ve, deN, (c, d) € R iff e+d is even. (a) Prove…

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Q: What would b the complement of shaded region? [CLO 3] O U- ((A N B) - C) O U- (ANBNC) ANBNC O (A N…

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Q: Problem 9. In each case determine if the given relation R on A is an equivalence relation. Justify…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. Please…

Q: Problem 3.33. Let X = : {0, 1} and Y = [0, 1] with their natural orders. Put the dictionary %3D…

A: As per bartleby guidelines for more than three subparts in a question only first three should be…

Q: Question 3 interval (a, b), and that f(x) + 0 for all a 0 for all r E (a, b) f(r) < 0 for all r E…

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Q: Problem 3. Let X = {1,2,3, 4, 5, 6}. Consider an equivalent relation on X, { (5, 3), (5, 5), (2, 2),…

A: Given: X=1, 2, 3, 4, 5, 6 , Consider an equivalence relation  R= { (1, 1), (1, 3), (1,5), (3,1),…

Q: Question 8 Answer the following. Do the best you can entering in mathematical statements into the…

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Q: Problem 4.6 on G with the property Show that f is holomorphic on G. Let GCC be an open set and let f…

A: Given that G⊆C* be an open set and let f be a function that is continuous on G with the property…

Q: If the sign combination of f' and f'' changes from ++ to +− at x = c, then (choose the correct…

A: Consider the graph,

Q: Set A Set B -1 7 -2 -3 5 9. 6 The mapping diagram above v a function since in where there

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Q: Situation 1: Line AB, tangent to circle P, at point B, and a point A in the exterior of circle P. SH…

A: We have to draw figure for given situation

Q: Problem 2. Now consider the relation D' on the domain z+ where rD'y if and only if r|y. Use the…

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Q: Problem 3: Graph the relation R = {(x, y); 0 < x < 1 and r' < y < x²} %3D

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Q: Answer TRUE or FALSE for each of (a)-(e). No justification is required for this problem. (a) {3} ≤…

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Q: Problem 12.1.12. (a) Let (a, b) and (c, d) be two open intervals of real numbers. Show that these…

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Q: Question 1 Construct the intersection graph of the following collection of sets: 4 = {0,+2,14, ±6,…

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Q: a) Find the image set f (S) for S = {-2, 5}.

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Q: Please solve this problem for me. TFAT means "the following are true".

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Q: Problem 2. Consider the following relations on the set of real numbers: R1 = {(a, b) e R² | a > b},…

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Q: Problems 3 - 4, make a mapping for each relation. 3. (7.-3).(-3,5).(2.5).(0,6)} 4.…

A: Given that   (3) 7,-3,-3,5,2,5,0,6    (4)  -3,9 ,-2,2 ,1,1 ,2,2 ,3,9To find : Mapping for each…

Q: Problem 7. Let X1 = {1,5,10,15,20}. Using the formal definition of a functio determine which of the…

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Q: Task 17 Let (X, T) be a toplogical space, A, B C X. Show that АС В Ас в, АсВ.

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Q: Problem 2. Now consider the relation D' on the domain z+ where aD'y if and only if æ|y. Use the…

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Q: PROBLEM 3 A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be…

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