Which of the following sets is open in (R, Tu)? OR-(Q-Z) OR-)"2n² :ne N} [2,5) O 12,5) U (1, 7) R-(()"2n :ne N}U{-1,1})

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Qe let A= Pined 2)R(A) 3) 8(T; -0

A: Firstly we find eigen values of A, ATA, and we also find Diagonal matrix, Lower Matrix and upper…

Q: 12) Let X1, X2, X~N(u, 62) which the following statement true a) X-N(,82),S2~x…

A: Step 1:X1​,X2​,..,Xn​∼N(μ,δ2) independentlyThen sample meanXˉ=n∑i=1n​Xi​​We know…

Q: 2. Show that (p→r) v (g→r) and (p ^ q) → rare logically equivalent.

A:

Q: 2. (i) (1 2 3 4 5) (2 5 4 3 1) and (1 5 3 2 4) Find the product of the permutations: (a, az ... Ax)…

A: NOTE- Since the terms in the last bracket of first part are not clear, so solving just second part…

Q: If w=2x² +2y+3z + cost and x-y=t, find the partial derivatives below. w aw Əw a. b. C. dy dy əz X, Z…

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Q: Q2: Suppose A = {Set of natural number less than 9}, B = {Even natural number less than 12 } and C =…

A: A = { Set of natural number less than 9} B = { Even natural number less than 12} C = { Multiples of…

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: 2. Let B, =[n,n+1]where ne Z, the integers. Find: a) B,UB, b) B,^B, c) UB, =U(B, :ie{7,8,...,18})…

A:

Q: Show hat + £ +} + - - +$ is out entges

A: Given The given statement is that 1+12+13+· · ·+1n is not an integer.

Q: A = (x EZ: xis even} B = (x E Z: xis a prime number} D = (5,7,8,12,13,15) Select the set…

A: Given: To find the set .

Q: A cosets of of 212 are اخترأحد الخیارات + 2, +1,.1 O + 1,.2 O + 4, + 1, .3 + 4, + 2, + 1 , .4 O

A: Cosets Definition: Let G be a group and let H is a nonempty subset of G. A left coset of H in G is a…

Q: Let R1 = {(a, b) ∈ P^2 ∶ a divides b} and R2 = {(a, b) ∈ P^2 ∶ a is a multiple of b} where P is the…

A:

Q: Let A, B, C subset U. Suppose that n(U)= 90, n(A)= 40, n(B)= 55, and n(C)= 20. Which of the…

A: Answer

Q: of the form {((-1) Cnt1)) (nul) / (nt!)} where Let be the set of humbers A is </ement of the wet of…

A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set…

Q: [2(c056'+isin6")ゴー sin6")ゴー %3D

A: Given:2cos 50+sin 506

Q: 10 If A= 20 20 20 o and B –201 40 -20! -10. Find: а) А+В b) A-B с) А.В

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Q: 23 - where a and b are positive integers; How many b values are there for the condition 2a + 3b =…

A:

Q: Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

A: (d) S = {1, 2, 3, 4, 5, 6, 7, 8, 9} (e) T = {3,4,5,6,......} (f) R = {} (empty set)Explanation:(d)…

Q: 5. Find U₁₁ A; and ₁ A; if for every positive integer i, a) A¡ = {i, i + 1, i + 2, . . .}. b) A¡ =…

A:

Q: A savings account pays a 3% nominal annual interest rate and has a balance of $1,000. Any interest…

A: Given :rate of interest(r)=3% per annum=3100=0.03%              Principal amountP=$1000To find:1)…

Q: 6x:-ld 212CK) 's aving of integer num 12 and fo), gaJE Z, ) such That 9Cx) = Prove Fhat dey (fagx))…

A: Given  Ring Z12(x)  f(x) = 2+5x+4x4  g(x) = 1+x+x2+3x3    So clearly,  degree of f(x) = 4  degree of…

Q: Show that for primitive statements p, q, pvq [(p^¬q) v (p^q)] →→(p→q).

A:

Q: 7. 5x2-60x - 140 8. 2x+32x+ 120 9. 6m +36m - 42 10. 14x2 + 7x – 21

A:

Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

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Q: Suppose that a, a', b, b' are positive integers satisfying a) ab' a'b = b) gcd(a, b) = gcd(a', b') =…

A: Given that a,a',b,b'are positive integers such that  ab'=a'bg.c.da,b=g.c.da',b'=1 We have to show…

Q: 1. Which of the following represents all real numbers greater than -4 but not more than 8. A) [-4,8)…

A: 1)

Q: let it be T=11,2,3 } S:la,b,c] Proved P(TNS)E P(S)NP(T)

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Q: (x³x-$) ² = x" 3. Determine the value of a that makes the following statement true = 30 4) a= 16 2)…

A: From the rule of exponent, (ab)n=anbn So, x3x-5-2=xax3-2x-5-2=xa From the rule of exponent,…

Q: The supremum of the set S={1- (-1)". :neN is a) 1 b) 0 c) п d) 2

A: The given set is  S=1--1nn:n∈ℕ The elements of the set can be listed by putting different values of…

Q: Which of the following is correct? ai II-1 b; O IIE, a;b; = (a1+...+an)(bı+...+bn) O II, a;b; =…

A: As ∑is used to denote the sum, similarly, ∏is used to denote the product. Assume, a be a variable…

Q: n + sin(18n + 14) Determine whether the sequence an converges or diverges. If it converges, find the…

A:

Q: (−1)” - {1- (-²; n = N / is n The supremum of the set S=1- a) 1 b) 0 c) n d) 2

A: We haveWe have to find the supremum of the set S.

Q: I The operati0n 25 defonçdon at be ertban'.shoo thert 5*(*4)d55) 2. luco operations A and* are def…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.