If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that : S,.S,,S,...are in A.P. whose common difference is n' times the 2%D common difference of the given A.P.

Q: s at least one real eger with an even : n of any two even

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Q: In Heun's Method, the value of a2is O 1/2 O 3/4 O 2/3 O 1/3

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Q: 3n³ + 20n² + 5 is O(n³)

A: Given: The given expression is 3n3+20n2+5 is 0(n3),

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A: Suppose fn and gn are positive functions. We say that fn∈Ogn if there exist positive constants c, n0…

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Q: For each CI, is it plausible that μ1 = μ2? Explain. a) −3 < μ1 −μ2 < 10 b) −13 < μ1 −μ2 < −4

A: Given a) −3 &lt; μ1 −μ2 &lt; 10b) −13 &lt; μ1 −μ2 &lt; −4

Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

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: and g(n) is O(H), the

A: Given: f(n)=O(n2) and g(n)=O(n) We have to check that given statement is true or false.

Q: If e = 23, then z 4x

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Q: In a class of 40 students 25 speaks hindi and 15 speaks both english and hindi. All students speak…

A: Given Number of students speaking Hindi ,n(H)=25 Number of student speaking both English and Hindi…

Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

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: 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: Show that if β^1 is conditionally unbiased, then it is unbiased; that is, showthat if E(β^1|X1, . .…

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Q: If we are to rearrange the letters of the word ENTER wherein the two E's are to be kept together, we…

A: Word : ENTER

Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).

A:

Q: If a_1=10a1​=10 and a_n=na_{n-1}-1an​=nan−1​−1 then find the value of a_4

A: Given:  a1=10an=nan-1-1

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

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Q: Show that for all n E Z, n² 5.

A: Consider the given condition: This shows that whatever will be the values of n, it will always be…

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: The employees of a Subsidiary that dues. ashestas. cleanup are being tested for ihe. firm is asked…

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Q: 1D Klove mothe mohical Inoucton 1. Mothe motical Imohchon forallinteges 2-3 nln+1) nt)

A: let this a statement P(n) For P(1) THE BOTH SIDES OF THE STATEMENT WILL BE 11+1=11+1  so P(1) is…

Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

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Q: A will states that - of the estate is to be divided among the relatives. Of the remaining estate, -…

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

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Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…

A: Given, Min Z=3x1+2x2+7x3s.t,                    -x1+x2           =10              -2x1+x2-x3≤-10 The…

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Q: The following are the proportions per 5,000 of workers observed for certain classes of defects among…

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Q: 6. Find Ar for A = and z= Az =

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Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

Q: Which method can be used to prove AEFG AG H. LL E.

A: We have to prove  ∆EFG ≅ ∆ IHG Given ,  ∠GEF = ∠GIH  IH = EF

Q: d. What happens if P < M for all t?

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Q: 4 Evaluate f, S, 6xy² dydx

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Q: Suppose b1 + *+ bm < n. Prove that b,!bm!< n!.

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Q: Obtain the values of In(/3 – i).

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Q: 2. The probubility of a new antivunl medication successfully curing patients was found to be 0.77.…

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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: (a) Ha: B1 0, with n = 26 andt=1.91 <p< 1 (b) Ha: B1 # 0, with n = 12, b1 = 0.16, and sp1 = 0.06 %3D…

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Q: If n ≥ 3, then (Sn, 0) is

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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: Is there any n n for which U2n = Dn?

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Q: In |피 In 2 + + C dr %3D

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Q: If n = a? for some a E Z then 1155 n" + 7777n + 1 %3D

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Q: Show that yn Z, if n³+5 is odd then n is even

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.