M d formulas for the entries of M", where n is a positive integer.

Q: QR MN ZN = ZR QS MP RS Given: NP Prove: R N

A: In △MNP and △QRS QRMN=RSNP=QSMP

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

A:

Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: (mp+nq)−(mq+np).

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

Q: If сх 3D су (тod n) and c >0 then а) х 3Dу (тоd сп) Ь) х%3D у (тod n) с) хну (тod") а) None of thes-

A: We have to solve given problem:

Q: The number of the element(s) of order 2 in Z2 O D6 12 1 11 7 15 24 None of them

A:

Q: 5. Use Taylor's theorem to write down an explicit formula for R, (1). Conclude that R, (1) + 0, and…

A:

Q: CONSID ER THE FOLLOWING S ERIES (4x+8) n =0

A: Given the series ∑n=0∞-1n4x+8n4 (a) We have to find the series radius and interval of convergence To…

Q: Drove: am t (att)" =1 +a(it()m=) Cmod acate) Where a, ore integers. n

A:

Q: 5sin x d) y = In 2

A:

Q: 4. (a) In O0, if L AOD = 50°, find 4 CBD. %3D B D C.

A:

Q: 1. Given: m |l n, 2l = 23 Prove: a | b 21 3 Proof:

A:

Q: Prove if equal to MPn (W) dx= 2" (n!)" (2n+)! that m is an integer

A:

Q: Use the error bound to find the smallest value of N for which Error(SN)< 10-9. 1 2ea? dx (Give your…

A: Note that error(SN) represents the error bound of  simpson's rule error bound. We know,

Q: 4. Work either (a) or (b), NOT BOTH (a) Let In = for n E N. Prove that nIn = 0. 0, n n%=D1

A: a. Given that    In=0,1n  for  n∈ℕ. And we have to prove that…

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: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: d) f(2) = In (In z)

A: As requested 4(d) to be solved 4(d) fx=lnlnx

Q: The number of the element(s) of order 2 in Z2 O D6

A:

Q: B. Find the term asked by using the given values. 1. In= 45, t1 = 27, d = 9, n %3D %3D 2. tn= 79, t1…

A: 1 tn= 45 , t1=27 , d=9 , n=?2 tn=79 , t1=7 , d=3 , Sn=?3t1=-3 , d=3 , n=8 , S6=?Formula used :- If…

Q: 4. Find m RS. (5x+ 6) S. (11r- 72) If MD- E 24and DN- 2. A ind MD

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: For all n, d e Z where d + 0, d\n * n= dk for some kEZ. Disprove: For all integers a, b, and c, if…

A: To disprove that for all integers a, b and c, if a|b+c, the a|b or a|c Suppose a,b,c∈ℤ be any…

Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

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: that Edn H(n/d)7(d) = 1 and Edn H(n/d)o(d) = n for all n, where r(n) = d(n) and σ(n) = σι (n) Σm d.…

A:

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

A:

Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

Q: In SOR method the value of 0 < w <1 Select one: O True O False

A: The SOR method is called as successive over relaxation method . The is called the relaxation…

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

A:

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: Indicate the formula for the following conditions. p° (n, r) = %3D

A:

Q: 1.N= 2500, e = 0.05 2.N= 486, e = 0.01 3. N=930, e = 0.1 %3D %3D

A: Population is a set of elements or subjects for which the study is conducted and a researchers want…

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

A:

Q: For q > 1 and the positive number "n" and 1≤d≤n ٫ Prove : Aq ( n , d ) ≤ q^(n-d+1)

A: It is given that For q &gt; 1 and the positive number "n" and 1≤d≤n

Q: 2. Find the Solution 3=1.6 O.07 3. Find the Mocisure. of the markes ar 9. 8X+26 10

A:

Q: Suppose m=nd where n is odd and 1<n<m. Prove that 2m+1 is composite.

A:

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

A:

Q: 1. Simplify the following expressions: a) 2 In Ve b) In(e-x²-y²) c) In(In e*)

A: Simplify the following expression.   (a).  2 lne             ⇒2 lne=2 lne12  ⇒2 lne=12×2 lne   ,…

Q: 5. (8x*y® + 3x³) dx + (12x°y³ + 3xy²) dy = 0

A:

Q: Find integers s and t so that s· 201 + t · 302 = 1 . S %3D

A:

Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

A:

Q: Suppose n (a)= 7a + 4, determine a such that n (a) = 39. %3D

A: GIVEN n(a) = 7a+4 and n(a) = 39

Q: Given that Z2a = 0.74 Find the value of a. O 0.2296 O 0.1148 O 0.4592

A: We have to find critical value..

Q: (3b) Let n E Z. Prove that if 3|(2n² + 1), then 3 ł n

A:

Q: Ql/prove that : 11=00 H(elw) = Σ 71=-8 h(n)e-jwn

A: "Since you have posted multiple questions, we will solve only the first question for you." To Prove:…