proving card{Q} = card(QU{e,pi,sqrt(2)}) and also if A1,A2,A3 .... is countable, then The infinate union of infinate Ak from 1 to infinity is also countable ?

Q: If gcd(m, 28) = 4 and gcd(3,7) = 1 then m = %3D %3D

A: Given: gcdm,28=4  First, we will calculate G.C.D of all options with 28. a gcd4,28=4 ∵ Greatest…

Q: a.2 lineal algebra  Please provide a clear, correct, and well explained solutioon for the following

A: Solution is given below

Q: Prove that (1, 2) (1,(1), 2, 3).

A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.

Q: 5.18 SHOW that AUB = (A |B)UB 5.17 If AUB =U. Show that %3D

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

Q: 2. Given n coplanar points, no three of which are collinear, use combinations to find how new…

A: As per the question we have to find the number of quadrilaterals increased as a new point is added.…

Q: 10 2. Use De Moivre's theorem to determine 1 in the form a + ib. 2

A:

Q: Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and gcd(a, c) = 1.

A: Consider, gcd(a, b) =1 and gcd(a, c) = 1. If gcd(a, b) =1 then there exist integers m and n such…

Q: Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c),…

A:

Q: If z isa complex number satisfying|z-1=1. Then prove that z-2 = i tan {arg (z)} -itar

A: The given relation is: z-1=1 Here, let z = x + iy So, (x+iy)-1=1(x-1)+iy=1(x-1)2+y2=1(x-1)2+y2=1…

Q: 7. Write a two column proof. Given: OSTUV Prove: AVXS = ATXU

A:

Q: - Find a bijection between Z and E (the even numbers), prove your answer is correct.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: elne he matix Az DElemple biayenelie he metur Ao and 3 hence fiid

A:

Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

A:

Q: Find the standart devivition Standart sapmayı bulunuz.

A: x f fx fx^2 4 6 24 96 8 7 56 448 11 4 44 484

Q: What is the dimension of P,?

A:

Q: Prove that √1+i√3+√1-i√3 = √6

A:

Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: f for ƒ : R - {2} → R- { 5} indicated by f (x) =(5x +1)/(x -2a), a bijection can be made from [0, 1)…

A: Bijective function: The domain is set A and the co-domain in set B relates elements of two sets A…

Q: 6) Write a two column proof. Given: OSTUV Prove: AVXS = AUXT

A: We can prove same as below

Q: If (2,0),(0,1),(4,5) and (0,c) are concyclic and then find c.AP & TS.

A:

Q: Can you please answer the question all of them (a,b,c,d) since It's all one qustion. Please show…

A: given that company charge flat fee $20. you total bill came $72.50.

Q: Use Gauss Jordan Elimnafion 1251-3 2-24-6 -3 12

A:

Q: *10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion…

A:

Q: State and Prove Pick’s Theorem.

A: Let P⊂ℝ2 be a polygon with all vertices on lattice points on the grid Z2. Let  I be the number of…

Q: Show that (AUB) - (ANB) - CA-B) U (R- A) using laws of Bers.

A: The given question is solved below.

Q: Prove that if PQ≅RS and RS≅UV then PQ≅UV in the simplest way possible. Please do not use any example…

A: Congruent relation is an equivalence relation. So, congruent relation is a reflexive, symmetric and…

Q: Prove

A: To prove  tanxcosec2x-tanxsinxtanx+cosx=cos2xcosecx

Q: 2 FIND THE PARAMETRIC AND SYMMETRI C EQUATIUNS OF THE 甥寮┤㈑┤㈑┤㈑┤㈑┤ PASSES THROUGH (2,8,10) THAT AND…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Explain why the funclion (2)3D 12)=52-6+zcos Z-Ze is. entire ?

A: Answer

Q: (*) 3. Let 2 = {A, |n = 1, 2, 3, ...}, where A, Find UN and N2, then !! %3D prove your conjecture.

A: We solve this problem using the basic properties of union and intersection. Also some basic steps of…

Q: Question is attached, Thankyou

A: Let us take z = x + iy.

Q: 4. Assuming that gcd(a, b) = 1, prove the following: (a) gcd(a +b, a – b) = 1 or 2. %3D %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: See picture

A:

Q: Find a method that can produce infinitely many triples (a, b, c) with no common factors such that a…

A: To find - Find a method that can produce infinitely many triples (a, b, c) with no common factors…

Q: 19. Using only the digits 1 through 9 one time each, is it possible to construct a 3 by 3 magic…

A: A magic square of order n is  an arrangement of an array of order n×n in which the sum of numbers in…

Q: 8. Determine whether v(x) = r'+3|x| even, odd or neither. Discuss its symmetry.

A: Q8) Given: v(x)=x3+3x

Q: 2 FIND THE PARAMTRIC AND SYMMETRI C EGUATIUNS OF THE LINE THAT PASSES THROUGH (2,8,10) AND く2,8,147…

A: The given data is: The line passes through 2,8,10 and parallels to 2,8,14 To find the parametric and…

Q: Prove that if ACB, then A-B=0.

A: This question can be solved using the concept of set theory.

Q: 7. In quadrilateral FGHJ, FH and GJ bisect each other and FH = GJ. FG JH FJ GH What additional…

A: FH and GJ are bisector of each other.

Q: what about Fini'te in Finite or in tersection of Par tition of [a,b] Did it is 1 gais partition not…

A: A partition P of Z is a set of non empty subsets of Z such that every element p in P is in exactly…

Q: How can I find all monic divisors of degree 1 in Z_7 [x], 5x^2+5x+4? please help me get started with…

A: Set of all Polynomials over a field ℤ7 is given by ℤ7x=anxn+an-1xn-1+ . . . +a1x+a0  where a0,a1, .…

Q: Give 5 examples of Postulate and Theorem using own words, based on rea-life experiences. Do this in…

A: Postulate: A postulate is a statement that is assumed true without any proof. Theorem: A theorem is…

Q: (4) Prove that if s and t are odd perfect squares, s + t is not a perfect square. Use contradiction…

A: A square of a number is the product of a number with the number itself . A perfect square is the…

Q: 5. Using only the basis E prove that two right triangles are congruent if the hypotenuse and an arm…

A:

Q: or complex number z and w, prove that zf w-|wfz=z-wif and onlyif z = w or, zw = 1. W

A:

Q: roblem 1. Show that if (x, y, z) is a Pythagorean triple then 60|xyz.

A:

Q: A police department released the numbers of calls for the different days of the week during the…

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

Q: If geRfabland if hex)=gox) except fos of finive number of number Point in fab?, then prove…

A: The given partition should be first divided into finite partitions.

Q: Show that triangle FUN is isosceles. 8. U (1,7) (6,2) (-1,0) 2, 21 4 9. -21

A: An Isosceles triangle is a triangle which has two equal sides  (that is length of two sides are…

Q: 5. Proving (Learning Packet #2) Given: 2CXA LABX AX bisects LBAC Prove: ACXA ABXA Reason Statement

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.