Question 2 a) Ifu=1- make / the sityect of the relation. b) (*) 2. 8. 4. 6. 8. The table is a multiplication table in module 10 over the set, y (2,4,6,8) Find the identity element c) Solve for a and y in the following equations, 2x+4y) =1 and 2*+By) = ! d) Simplify

Q: a. Verify reflexive property on the relation R;= {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4), (4, 4),…

A:

Q: Are these statements true or false? The universe of discourse is the set of all people, and T(x, y)…

A:

Q: 8. Sketch the sets X = {(x, y) e R :x+y s1} and Y = {(x,y) ER:-1sys0} on R. On separate drawings,…

A: And,

Q: ) Prove that A° U B° C (AU B)°. Give an example to show that equality does not always hold.

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Q: Find the Sclutian to the an=2anal t3an-2 with terms lecurrence relation initial and

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Q: 2 Use the figure to identify all angles between 0 and 2n satisfying the condition csc (0) = -- V3…

A: Given that, There is a figure in which angles are pointed and cosec θ=-23 We have to find the value…

Q: 6. Sketch the set X = {(x, y) E R? : y<x²} on R2. Shade in the set X. %3D

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Q: nts A and B have symmetry with respect to the ) (9, 2) (х, у) %3D -) (0, 8) (x, y) =

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

Q: Example: Let f : A → B be a bijection. Then f o f-l =?, and f-l o f =?.

A: Given: The function f : A→B be a bijection.  To determine: The composition f∘f-1 and f-1∘f .

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: 1 In the relation . If R, =1 and %3D R R R, R,%3D3, find R.

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Q: Consider two sets, A = {1, 2, 3, ..., 100} and B = {3, 5, 7, 9, ... , 201}. Prove that |A| = |B| by…

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Q: 2.5.2. Let S = {2,3} × {-2, –1,0}, and let T be the set of all ordered pairs (x, y) E Z × Z such…

A:

Q: V. State and prove: Saccherri-legender theorem.(NG) ****

A: State and prove the theorem

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

A: R=1,2,2,1,2,3,3,4,4,1set=1,2,3,4

Q: 2 1-Find the geometric location of the relation z – 3 -ži = v2. 3

A:

Q: Which of these relations on {0, 1, 2, 3} are ?equivalence relations a) {(0, 0), (1, 1), (2, 2), (3,…

A: Given set = {0,1,2,3} As equivalence relation is reflexive, symmetric and transitive

Q: a) Determine if B = {sin(2a + ), cos² (x), sin²(x), sin(x), sin (x), e"} is a linearly independent…

A: A set of vectors {v1,v2, v3......vn} is said to be linearly independent if their exists  scalars…

Q: Show that the relation R defined in the set A of all polygons as R = {(P1, P2) :P1 and P2 have same…

A: Given, relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number…

Q: Show that the relation R defined in the set A of all triangles as R = {(T1, T2) :T1is similar to…

A: Given,relation R defined in the set A of all triangles as R = {(T1, T2) :T1 is similar to T2}.

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

A:

Q: АР 1. Find the point P such that - АВ = r, where A(4,3, –2), B(-5,0,4) and r = NIM

A: As per bartleby guidelines, I can answer only one question. So, please repost the other two…

Q: Describe the set S = { x : I 1/2x - 3 I &gt; 4} in terms of intervals.

A: S=x : 12x-3&gt;4

Q: Let Let A={2,4} and B = {1,3,5} and define relations U, V, and W from A to B as follows. For all (x,…

A: Given that -  Let A={2,4} and B = {1,3,5}

Q: 3. Prove the pythagorean Theorem

A:

Q: 7. Given RS and TV bisect each other at point x. TR and SV are drawn Prove: TR = SV

A:

Q: OFind all Max. , Min, seddle Point for the fure tiens below: 3xy - 15 X +.

A: We need to find max. min. and saddle points of given function.

Q: Prove than any pair of elements in H can be mapped to the positive y-axis by an element of SL(2, R).

A: According to the given information, it is required to prove that any pair of elements in H can be…

Q: Consider the following relation on set B = {1, b, {1}, {b}, {1, b}}: P = {(1, b), (b, {1, b)), ({1,…

A: Law of Trichotomy: On a set X, a binary relation R, satisfies exactly one of xRy, yRx or x=y. Where…

Q: consider the relation R={(1,a),(1,b), (3,b),(3,d), (4,b)} form X={1,2,3,4} and Y={a,b,c,d}. Thus…

A: Consider the relation

Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

A:

Q: 2 / The eanation rasine itis an e quation of acircle passing through the origin and center onthe X.…

A: Polar to cartesian conversion:

Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

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: How we get this formula: エ= 2n, n2 by using these relationsi (1-n2T) (1-hizt) miz=m+mz, I=

A:

Q: 2|A:k||2|| Bx:||2) < || |||B||F k%3D1

A: Please check the answer in next step

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

A:

Q: Let A- {#, 7, x} and let R be the relation on. A given by R {(7, 7). (#, #)}. Prove or disprove…

A: Transitivity is a property of verbs that relates to whether a verb can take objects and how many…

Q: Of length I1, tien 50) Show that S is generated by ((1, 2), (1, 2, 3, - · , n)}. [Hint: Show that as…

A:

Q: 2 la), Pu (aw by Re currence relation

A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

Q: Let A {2,3,43 and B- {6,8,10) and define a %3D relation R From A to B as Follows: Tor every (x,y) E…

A: Given that : A=2,3,4B=6,8,10 The set of ordered pairs is :…

Q: The elimination of ci and c2 gives the relation Yk 1 1 2 0, (1.53) Yk+1 4 Yk+2 25 which, on…

A:

Q: Select all the Points through which a unique solution for the DE ,2 y? IS nySot eed by the Existence…

A: Given differential equation is y'=13-x2-y2

Q: Our universe U is Z (integers), and R is the relation defined by R(x,y):=x<y^2 For example,  R(3,-2)…

A:

Q: An arrow is placed with its base at (3, 1) and its tip at (6, 1). What are the coordinates of the…

A: An arrow is placed with its base at 3,1 and its tip at 6,1.What  are the co-ordinates of the tip of…

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: 7.1.6 For the relation R = {(x, y) : x < y} defined on N, what is R-1, and what is the intersection…

A: The detailed solution is as follows below:

Q: Q3- Give an example of two denes not equal X subsets of (R,Te) and (z,ror ). ( Explain your answer…

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Q: Let the relation R be {(1,2), (2,9), (5,6)}. Is R transitive? Give the reason.

A: Given : 1,2, 2,9, 5,6

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.