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: ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

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Q: 56. Find U₁A, and A; if for every positive integer i, a) A = {i, i+1,i+2,...}. b) A, = {0, i). c) A₁…

A: According to guidelines we can solve only first three subparts.

Q: Queston1 use the Subititution Iy =u 9) (xy41) dx +2x²y=0,

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Q: [2, 5]U[3, 7] [2,7]

A: Let A=[2,5]and B=[3,7]and we have to prove that AUB=[2,7]

Q: A nB oiaivalar 111222719;10s b) A'U (B n C) 9. Find the number of the subsets and list all subsets…

A: The number of subsets of a set with n elements is 2n.

Q: 7) Prove by contradiction: For all prime numbers a, b, and c, a² + b² + c².

A: To prove for all prime numbers a, b, and c, a² + b² not equal to c^2.

Q: Find n if: a) P(n, n) = 5040. b) 66= C(n, 2). c) P(n+1, 5)= 5P(n,1) Note: n is a…

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Q: 6) If X is N(45,5) for i = 1, 2,..., 25; find: 25 (a) P (30 < (X-45) < 55) 221 b) P(30< (X -45) 2 <…

A: The objective of the question is to find the probability of two different scenarios for a normally…

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: A, B, and C are subsets of a universal set U. Which of the following is always true? (A) AN A' = U…

A: A, B and C are the subsets of the universal set.

Q: Let *' be defined on the set N. Which of the following are both commutative and associative?

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Q: What equivalence/law was applied? [-p v (p A -q)] v [r v (q A -r)] = [(-p v p) ^ (-p v ¬q)] v [(r v…

A: We will find out the required law.

Q: 1 1) L-' 3 (s S

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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: ② 2 X+S 1+ 2 + 기 1 -11-1> 1

A: NOTE: Refresh your page if you can't see any equations. . use the fraction rule (cross…

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})…

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Q: a0 with a 0 a| [a, b), [ca, cb) = cla, b), -2 = 15 (mod 3), (a, b) < |b|

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Q: 51. Find U A¡ and A¡ if for every positive integer i, a) Aj = {-i, -i + 1, ., –1,0, 1, . , i – 1,…

A: 51) i be a positive integer so  i ∈ 1,2,3,4,......a) Ai =-i,-i+1,.....-1,0,1,.....,i-1,iA1 =-1,0.1 ,…

Q: 19. (2 points) Rewrite In 147 in terms of In 3 and In 7 a) In 7 - 2 In 3 b) In 3 + 2 In 7 c) 2 In 3…

A: The objective of this question is to express the natural logarithm of 147, ln(147), in terms of the…

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: Derive the eauation of the natu Val cu bic TnterPolat ing sPline for the falowlhg (1,!) , (2,1),…

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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…

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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 =…

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Q: 3) Prove using Venn diagram that An (BUC) = (An B) U (ANC) 4) Using equality of sets, prove that (A…

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Q: Are all three answers correct

A: Given sets of vectors are,(a) (b) (c) The objective is to determine whether the set is a basis of…

Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

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Q: f U1 and U2 are both upper triangular matrices, and L1 and L2 are lower triangular which of the…

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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: 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.