1. Use PMI to show that for any n E N, 4 divides 5" - 1.

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

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Q: 4. Show that if ki = (X; – X)/[Σ(X; – Χ)2], then (a) Σ ki = 0; = (b) Σk? = 1/[Σ(X - X)]; (c) Σk;(X;…

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Q: Based on Theorem 4.4.3 P.169, when n > 2, which of the following is biggest? 1. n! 2. n^n 3. (n!)^2…

A: We have to find biggest number among of them

Q: If ex + 5 = 4, then In e + 5 = | 1.38629 %3D

A: Recall:   (ln mn)= n ln(m)     ln(2) = 0.6931

Q: 18-It is known tha a) O 2 b) O 4 c) O 32 d) O 16 e) 8

A: Given data, Mean is 8 Coefficient of variation CV=0.5 Variance=?

Q: (mp+nq)−(mq+np).

A: Given,  m-np-q=m·p+n·q-m·q+n·p It is to be proved.

Q: 9.NBT.4 & 3.0A.3) In one year, a factory used 11,650 meters of cotton, 4,950 Fewer meters of silk…

A: Solution :Cotton used in factory in a year = 11,650 m4,950 fewer meters of silk used than cotton So,…

Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: : Answer the following 1- Let s = = {+:n € N}. Find max(s), min(s), sup(s), inf(s).

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

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: 1. What is RT in the figure below? *

A: a straight line from the centre to the circumference of a circle is called redius

Q: What conclusion should be made at the a = 0.05 level?

A: The p-value for the test is 0.0027 And the level of significance is 0.05

Q: E =E RT In a nF E 2.303 RT EXplain how the con Version 3. Prom in to loe was made and. the humber…

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Q: 4. ( Give a case in which |(x, y) |xlly|l.

A:

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an…

Q: solve for t

A: Given logarithmic equation is : lnt-2=ln8-lnt We know that,…

Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

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: 5.43. -- ("*)(*") = ()- in (m+n+: sk=-m r+s+1

A: We have to prove given relation by using counting argument.

Q: Show that for any n E N, 7(15".

A:

Q: 5 in 10 in STOP 6 in Peor Deck udents responsel

A: 1.Divide into three parts one rectangle and two trapezoid 2.now find area one by one 3.add area of…

Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

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Q: s defined by + x). The value o ind off to 1 decimal

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Q: For n>2, let an=5n/n2-2 determine for which n, |an|< 1

A: For n&gt;2, let an=5n/n2-2 determine for which n, |an|&lt; 1

Q: 3. Apply Lagrange's interpolation formula, find In 9.2 with n=3 and the values below 9.5 10.0 11.0…

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Q: What can you say about z if |e|= 1. Ques

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

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

A:

Q: ()if pis in fact larger than 0.301, t would seem there are too many numbers in the file with leading…

A: Given: n=223 r=85 α=0.05

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: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: M N * LN = MO SS SAS AAS AONL E AONM ALON E AMON ALNO S AMON

A:

Q: O N (AT) = R(A)-

A:

Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

A:

Q: 2. Find the exact length of the fllowing curvis 1&s4 () x= Imfi-) <と

A: a) y=13xx-3 ; 1≤x≤4 Note:      Multiple questions are given, we are answer with only one question.…

Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: In (x + 2)- In (x + 4x + 4) + In(e*+2) =? O x+2 O 2ln(x+2) O In(x+2) O 4ln(x+2)

A:

Q: Σ 2"n! by ratio test. nn 5. n=1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: If y = ex, for any natural number n, what is dx" n"e* n"enx O Option 3 O Option 1 n!e* n! enx O…

A: We know that the chain rule: fgx'=f'gx·g'x Given: y=enx

Q: Vn EZ, if n+5 is odd then n is even

A: This question is related to integer values. We can prove it by using direct or indirect way. Please…

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

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Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: For any n e N, let Bn = (n, ∞0). {B„}1 is descending. Show that Bn = 4. %3D n=1

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Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

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Q: S, =Ene пе n=1

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Q: y E to IN ten IN en 2.

A: Definition used -                     Trigonometric function -                               y =…

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

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…