2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

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Q: Show that if a|b then -a|b.

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Q: Show that AB = O, even though A ≠ O and B ≠ O.

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Q: Suppose a, = —4а,-1 — За,-2 — 2а,-3 аnd aд — 21, аз — -77, and as — 259. Find aj, az, and ag- az =

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Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: 8n and IfΣ (ακ+ be) - n+1 k-1 2(ak - E(ak - br) = - n, then ak = n+2 k-1 k-1 3 O 2 9. m/2 2. wwwwww

A: simplify the equation by adding them and tends to limit to infinity.

Q: Suppose X= N(10, 1.924)Pr(9.65 is less than or equal to X and X is less than or equal to 12.7)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: 3. If AABC-AZXY, mZA- 50, and mzC-30, what is mX?

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Q: Q:- Show thet B(n, n) B( n+on+=2 1-40

A: The solution is given as

Q: and pigs in a field totals 35. The as exactly two legs and each pig h pigs are in the field. (Do not…

A: Given: Four playing boys marbles and their names have given.

Q: 27. Show that if a > b, and a, b + 0, then b-l > a-1, provided that a and b have the same sign. What…

A: a > b  ⇒ a - b > 0 Divide both sides by ab      (a - b)/ab > 0 ⇒  1/b - 1/a > 0  ⇒…

Q: 2. How may rearrangements of the word BOOKKEEPER are possible assuming that (a) two E's appear…

A: Given word "BOOKKEEPER" The number of times O in word =2The number of times K in word =2The number…

Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: Show that /2, /3, 5 cannot be the terms of a single A.P.

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Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

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Q: Find k given that (2, k) is equidistant from (3, 7) & (9, 1).

A: The distance between two points that have coordinates (x1, y1) and (x2, y2) is given by the formula:…

Q: Converges or diverges

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Q: 2 Let A = then det(3AT) - 18 -6 -2 II

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Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: 2 then show that |2A-4|A If A- 4 2

A: We have to verify that 2A=4A where A=1242 and A is used to denote the  determinant of the matrix A.…

Q: Show that AB = O, even though A ≠ O and B ≠ O.

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Q: how did the y' and 2y' apearred out of no where in line 7

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Q: 31}. Then the are

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Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: 1 Verify that A² I when A а. -8

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Q: 8.Show that for nZ. 13.3.-(21-1) 2n 2.4.6..2n.

A: We have to prove given result:

Q: Q2. If JANB| = 0, JAnc| = 0, Bnc = 1, how many ways can we choose three distinct elements. one from…

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Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: ttees of 4 men can be formed from a group of 10 Hiet 5. How many 13 boys and 11 girls? 5. How of 5…

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Q: If x~N(μ,0²), then (271) ²~... Option 2 Option 1 ********* N(0, 1) G (1,2) x² (2)

A: Solution-: Given: X→N(μ,σ2) then (X-μσ)2....

Q: 17. (а, b), (—а, - b) 2Va? + b?

A: Given : Q17 :  a,b and -a,-b

Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: 4. Andre says that 5 +2 7 because 7 =7 Identify his mistake. Draw a picture to prove that he is…

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Q: 521 End Adi A R A-

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Q: solve for t

A: Given equation: eln2t=12

Q: a If 2" = ア,what is

A: Taking log both sides of the given equation

Q: Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n 2 3, 2ап-1 + bn-1 for n 22 b, = bn–1+ an-1 an express an…

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Q: 3. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2 + n² + 1, express a, in terms of n. %3D

A: Recurrence relation - it  is an equation that denotes  the nth term of a sequence as a function of…

Q: Find thenumber of terms common to the two A.P'

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Q: is ' (3n– 1)? n=1

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Q: If n ≥ 3, then (Sn, 0) is

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Q: Which of the following is equivalent to 12 n=1 60 13 60 13 O-20 20 5 8 ?

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Q: Assume there are 3500 undergraduate students studying at AUA, 1800 students have taken Business Math…

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

Q: 9o = 1, In = In-1 + 2gn-2 + + ngo-

A: Given: g0=1 gn=gn-1+2gn-2+.....+ng0

Q: show that given two numbers m and n, if m is even and n is even, then the product is even

A: Solve by using product rule

Q: B 5ex - In |x| + C

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Q: =981, power=1325 and m=2537 -ne 1 and 21 1 and 1325 1 and 21

A: Answer : None

Q: Compute (x – 2) for the following set of n = 7 values. X1 = 8, x, = 15, x3 = 14, x4 = 10, x5 12, x6…

A: Given,   =?

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem