If E (ar + br) 2n and n+1 k=1 Σ (ακ-bk) -- 1, then Σa- n+2 k=1 k-1 O 2 3 2 O 1 5. 2 Ο None

Q: 16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1,…

A: To find the value on n so that two given triangles becomes similar.

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: Question 3. For k e N, define S = > (2') = 2+ 22 + 2³ + · .. + 2*. i=1 Prove Vn E N, S2n = 0 mod 3.

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Q: IfΣ ( a+ bk) 4n_ and n+1 k-1 E(ar – br) +, then Ear n n+2 k=1 k-1 2 O None 2 2

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Q: [1 2 [1 2 [1 2 01 Q13: If A = 1 1 0 1 4 ol 3 B = 1 1 -1 l2 2 2 and C = 1 1 -1 Show li 1 1 that AB =…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: n If E (ak + bk) 2n and n+1 k=1 E(ak – br) +, then ak = n n+2 k=1 k=1 3 2 5 2 O None 2

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Q: 0.02x10.05x2 = -0.19 0.03x₁ +0.04x2 = 0.52 ○ X₁ = 5, X2 = 8. O x₁ = 7, 2₂ = 8 O x₁ = 8, 2 = 7 O x1 =…

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Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

A:

Q: Part 1 of 5 (a) When a = 0.10 and n= 22, Xieft 11.591 = 32.671 Kright Part: 1/5 Part 2 of 5 (b) When…

A: a)GIvenα=0.10n=22

Q: (a) an = }(n² + n). (b) an = 2an-1 – an-2 with ao = 0 and aj = 1. (c) an = nan-1 with ao = 1. %3D

A:

Q: If (ax+bx) = and k-1 n+1 8. E = 4 , then ar (ar-br) - k-1 n+2 k-1 O None 2 1/2

A: •  using elimination • find limit for n =infinity

Q: The general value of In(-2+2i) is Oi( + 2kn) + 2 In 2, kE Z O+ kn) + In 2, k E Z O i( + kn) + 2 ln…

A: We will find the general value as following.

Q: 1) Suppose A e M„(R) is. show: A) A is singular if and only if adj (A) is singular. n-1 B) If n > 1,…

A: The solution is given as

Q: The solution of e² = -2 for n = 0,±1,±2,. is %3D ... Select one: O a. In2 + in(1+n) O b. In2 +…

A:

Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: 1 1. n=1 /n 00 2. E ne ne n? n=1 3. n(In(n))2 sin (7n) 4. n2 n=1 5. Vn n1- 2 6. 3.

A: Note: " since you posted multiple question. As per our guidelines we are supposed to solve one at a…

Q: If (n + 1)(n + 2)an+1x" - nan-1x" = 0, n=1 show that for k = 1, 2, 3, ..., we have 1.3.5... (2k - 1)…

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Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: n IfΣ (a +b:) 2n and n+1 k=1 n (ar – br) = -, then Ea n+2 k-1 k=1 O 7 O None 5. 2 2 2

A:

Q: The general value of In(-2+ 2i) is O i( + kn) + 2 ln v/2, k E Z O ( + 2kn) + 2 ln v/2, k € Z O i( +…

A: Log of complex no. Problem....

Q: 6.3.10 Suppose that the following are true: • Vn E N, An # Ø. • m > n Am C An. Prove or disprove the…

A: The given true statements are 1) For all x in ℕ, An≠∅ That is, none of the set A1, A2, A3,... is an…

Q: 3. For all æ E Z[i], there are N (x) elements in Z[i]z.

A: The set of Gaussian integers is a subset of the set of complex numbers containing the elements with…

Q: [1 2 [1 2 01 Q13: If A = 1 1 0 li 4 ol [1 2 B = 1 1 -1 and C = 1 1 -1. Show l2 2 3 3 2 li 1 11 that…

A: given matrix

Q: 1000 1000 2. Find Eb, if E(4b, – 5)=16. k=1 k=1 1000 1000 1000 1000 1000 а. —1290. b. Уь, —1254. с.…

A: Given ∑k=110004bk-5=16

Q: [1 1 o 1 Let A and find e4. Hint: Let B and note that A = I+ B.

A: The detailed solution is as follows below :

Q: 3. Suppose that ar = -2 and Sbe 25. Find the value of -2 and Ebe k=1 k=1 10 b. (b — За;) a. k=1 10…

A: a) We can factor out 1/4 since it does not depend on k. Then plug the value of sum of a_k.

Q: 12. Cosider S4 Let o, = (; ). 0 = (; ) and o, = 2 3 4 1 1 4 3/ 2 3 4 4 3 2 ) and oz = 2 3 4 1 2 4 1…

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Q: (b) If m < a1 + ... + an < M n, and v, is positive and + anVn < Mv1. + anUn| < Mvi Vn. decreasing,…

A:

Q: cos(n") In(4) 1. 1 2. n In(n) n%3D 6n + 3 (-1)" n=1 1 4. n - 5 3.

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Q: 98 unfornly distributed the death cre CHX+h) then nen 2n+n M Prove t 2+h pmx

A: If the deaths re uniformly distributed in the interval (x,x+n) Then  qnn=2n*Mxn2+n*Mxn suppose qnn…

Q: If (ar + bx) 8n and n+1 k=1 n Σ (α- br) 1 1. then ar n | n+2 k=1 k=1 O 2 None 9. 2 5 2 3 2

A:

Q: 6.3.10 Suppose that the following are true: • Vn E N, An # Ø. • m > n Am C An. Prove or disprove the…

A:

Q: 2 1.5 0.6 09 1.2 Reason for similarity?i * SSS- * SAS- H AA 1 NNS

A: SSS (Side-Side-Side) SSS Similarity Theorem: If all three pairs of corresponding sides of two…

Q: If (ar + br) : 8n and n+1 %3D k-1 (ak - br) +, then E ak = n+2 k-1 k-1 None 2.

A:

Q: () 2k = 3", Vn E N k k=0 k n+1 Σ 2 Vn E N, n > 1 3 k=2 į * () 主) n 3k = 4", Vn E N %3D k k=0 = 2"-1,…

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

Q: Question 12 Prove that 1(2) + 2(3) + 3(4) +.+ (n – 1)n n(n-1)(n+1) . for n > 2. 3 ... Edit View…

A: We will prove the given statement.

Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

A:

Q: Question 11 of 20 There are 17 players on a Calvinball team At the start of the game, the 13 players…

A: There are 17 players on a Calvinaball team. At the start of the game, the 13 players on the field…

Q: 3) Ll a, = 5, Qz = 13, end Anta 5 anti - 6 an (n71). Prove by inbuetem that an =2* +3" (n. %3D =

A: The solution is given as

Q: In Euler's method, wk = y(tx) for k = 1, ..,n. Select one: O True O False

A:

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: Let z be the principal value of (-1- i) Then O z = e(7 2In 2)/4 and arg(z) = -4+ In /2 and arg(z) =…

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Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2

Q: -13 20-1 Let A = and let B = Find AB + 2B. 2 4 13 O A. 2 9 1 4 18 -2 OB. 5 -3 3 10 12 2 c. 1 10 18…

A:

Q: s (1 + 21) dr + r ds 0. s(1) = 5 (), s(1) = 5 %3! = 5 et-1) s + 21 = 3 st O 5 e O In st = O (1 +…

A: Solution of Differential Equation:  We solve this problem by using Separation of Variable Method:

Q: IfΣ (ak + bk) 4n and n+1 k=1 E(ar – bx) +, then Eak %3D | n+2 k=1 k=1

A:

Q: Evaluate: (- +2 e + 4" – 7) dr =, +4* – 7) dr %3D | In(x) + 2e2 4* - 7x +C In(4) - - O In(x)? +e2…

A: We have to find the integral.

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A:

Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.