1 fn is a positive integer, then (D -a) II

Q: 1+i Find the least positive value of n, if =1. 1-i

A: We know that i2  = -1   i4  = 1

Q: 13. (a) Find a number 8 such that if x- 2 < 8, then 4x - 8 < 8ɛ, where ɛ = 0.1. (b) Repeat part (a)…

A:

Q: 19. Let a, = (-1)" Vn 2 1. Calculate the value of an+1 - a, for odd values of n. %3D А. -1 В. -2 С.…

A: As this is a multiple question type, according to Bartleby Answer Rule, only 1st question is to be…

Q: Assume a; > 0 (i = 1,..., n). Show that 1 +. a1 < (a1a2 ... an)/n. n an

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Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: M -2 Find formulas for the entries of M", where n is a positive integer. M" =

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Q: The sum of the first n positive odd integers = Check all the correct answer/s. Σ I T Σ(2x + 1) 2=1…

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Q: e(1+2n) where n is an integer. e(1+4n)i where n is an integer. equal to the above equal to the above…

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Q: 1 fn is a positive integer, then (D -a) II

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Q: Find a number a + 5 such that S" (1 – æ) dæ = 0

A:

Q: Let a, b eR with a < b. Assume that a + <b - for all n E N. Show that b- = (a, b). %3D n n=1

A: We will show  two sets are equal.

Q: 1 II (()+(")) - (m + F)| + D)"+E II ii. k+1 Here A, B, C, D, E, F are some positive integers whose…

A: Please find the answer in next step

Q: Ans: 1+2+으 is an a b integer. Find c.

A: Solution

Q: 12. Find all values of t for which - 1 -2 1+2 0 0 -1 = 0. 0 1+1

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Q: gcd(a,b) = (a+b, lcm(a,b))

A:

Q: n1 = 50, n2 = 50 X1 = 8, X2 = 7 O A. 0.7794 O B. 0.6103 O C. 0.2206 O D. 0.3897

A: n1 = 50 =n2  p1= 8/50 =0.16p2 = 7/50 =0.14   The test statistic is given by

Q: 9(x) dx=3 and | g(x) dx=7, then what is the value of 8 ould be an integer

A:

Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: Eii!): i(i!) = (n+1)! – 1, for every integer n > 1. i=1

A:

Q: [D²,2²] = 2(2&D + î) 2(2£D + î) Prove that

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 2 guestion 12 If for all real values of x, (x + c)(x + 4) = x´ + 8x + 4c, then c = ? eport Issue…

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Q: II (()+(") – (n+ D [(n +F) Here A, B, C, D, E, F are some positive integers whose respective values…

A:

Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

A:

Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is…

Q: 100 X~Nμ. Σ) where μ= 50 10 0 then f(x 2,X2 : 0 5 and X1-100 -1/2[(- 10 (1/44.43)e 5 ylgn İhi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: 4. For each positive integer i, let A, = {x € R| -<x < } = (-;;4) a. Find U-, A;. i=1 b. Find N 4:-…

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Q: C) If f(k)= k√a² - k² + a² sin-¹ df prove that -¹ (1) 2√a²k²,a is constant. dk

A: Use derivative concept

Q: 2 Let M 2 8 Find formulas for the entries of M", where n is a positive integer. 1001 100 J M" = 27

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Q: n+2n Show that represents an integer Vn EN.

A:

Q: 5.61737 = A + B (0.1936) 5.29414 - A A + 3. 114166 = A (0-1936)-c² B (0.2601) (0-2601)-C2 B(0-3721)…

A: We need to determine the values of A, B, C using the equations. A system of equations can be solved…

Q: Let n be a positive integer, then n+1≥ for all n.T/F

A: We need to show that n+1≥n for all n where n is a positive integer. Lets proof by contradiction

Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: o(1- a2)"dæ : 2ª" (n!)² (2n+1)! 10. Show that for n =0,1, 2,.... (0! = 1 and

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Q: 17. Let a, = (-1)" vn 2 1. Calculate the value of an+1 - a, for odd values of n. A.-1 В. -2 С. 2 D.…

A: Given sequence is  an=(-1)^n

Q: [-3 Find all values of λ for which | Al3 - A| = 0, where A = 0 1-2 -1 -31 3 0 -1 -2]

A:

Q: 1 x? + k by considering several cases for the constant k.

A: Let k be equal to a2. k=a2a=k Use the formula ∫1a2+x2=1atan-1xa ∫1a2+x2=1atan-1xa∫1k+x2=1ktan-1xk

Q: 21 3 L 1-6 J Determine all values of a and b so that

A: To determine all values of a and b so that 12a03b-41=-561216. Solution: Two matrix are equal if…

Q: (d) Compute V(X) (in GB²) using the shortcut formula. (Enter your answer to four decimal places.)…

A: Given data is x 1 2 4 8 16 P(x) 0.05 0.15 0.25 0.45 0.10

Q: Find all values of x for which ∑ (n=0 to ∞) 1/(1+x)^n equals 4

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Q: (1 – iy3)i is | а. е where n is an integer. b. e(1+4n)n where n is an integer. c. e(1+2n)ë where n…

A: We are given : (1-i3)2i Let z=(1-i3) r=12+(-3)2=2tan θ=-31=-3 θ=nπ-π3 Now,…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given:Without expanding completely, find the indicated term(s) in the expansion of the…

Q: 11. Find all values of t for which t-2 1 - 2 2 (a) 0; 3 1-3

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Q: (5 + 2/3) 2 + 13 Without using a calculator, express in the form p + q/3 , where p and q are…

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Q: xInx A I In xI+C C. In I In xI+ C 3 In I In xI+ C -In I In xl + C 3.

A: We can solve the integral as below

Q: Let a, b e R with a < b. Assume that a + <b - for all n E N. Show that 1 = (a, b). a + ,b n n=1

A:

Q: Find the value of a such that P(Z > a) = 0.35 Round to two places after the decimal.

A: Z has a standard normal distribution  P ( Z &gt; a ) = 0.35

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.