[1 2 3 4 5 5 2 3 4 1 [1 2 3 4 5] 1 5 4 3 2 1. Let o = and T = be permutations in S6. (a) (2 points) Write o and 7 in disjoint cycle notation. (b) (2 points) Compute (oT)². (c) (3 points) Compute or-'o.

Q: 14. Let A = {1,2,3,4,5,6} and p₁ = (4,2,5) and p₂ = (2,6,1) be permutations of A. Compute p₂¹P₁-1…

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Q: (7) (a) Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

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Q: 7. Suppose that {an) is defined recursively by an = a-1-1 and that ao = 2. Find a3 and 44.

A: Solution :-

Q: 25, 3, 3.75, ... sive:

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Q: (2). What is the binary representation of the following: (a) (64.37109375) 10.

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Q: 3n 3. Which of the following is the correct expansion of E-2(-1)" ()? c. (-;+"-#+) 243 243 + 6. 27…

A: The correct expression is option (D).

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles O None…

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Q: Find an explicit formula for 1/(2-1/2), 2/(3-1/3),3/(4-1/4),4/(5-1/5)...

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Q: Find the difference between the sum of the first 11 terms of {an} and the sum of the first 11 terms…

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Q: Find all 6 permutations of (12)(345).

A: Find all permutations with 12 in the first pair of bracket : (12)(345) (12)(354) (12)(435) (12)(453)…

Q: The decimal representation of a positive integer a is given by a = an-1ªn-2 *** α₁α where a =…

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Q: Solve the following ODE y +2y +y = x + e O a. (C1+ C2) e* + (x-2) + e /9 O b. (C1 + x C2) e* + (x-2)…

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Q: n2 1 SHOW ALL OF YOUR WORK. 3. an = 2n +1 2n + 1" (а) Find aj, а2, аз, а4. 3 (b) Compute > a;. i=1 4…

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Q: Consider the truth table for the connective '' with two simple declarative statements p and q. Р q T…

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Q: Let a= (123)(145) in S6. Write a102 in disjoint cycle form. (14523) (32541) None of these O (16)(24)

A: See the detailed solution below.

Q: Let C= (replace the third column with the second column C2 C.). Show that |Cl=-IAl (Home work) lumn…

A: As two questions are given , I will do only the first one : C=13211-1243…

Q: 3. cos0 17 II

A: We have to find out θ value and given is cosθ=-817

Q: Expand la In 3 Inx Iny? Inz 2n 3+ 2mx+ 2lmy hz a. 2h3+ 2hx+ 2ny- 2hz In 3+ Inx+ 2hy- nz

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Q: 2020-21 Algeb.► Briana Berisha - Topics8H Q4-2 - 20-21.pdf Simplify 2x 4 19. 2x + 8 a. ズー2 C. X + 4…

A: To simplify the given expression.

Q: 12. Suppose that {an} is defined recursively by a, = a - 1 that ao = 2. Find az and a4.

A: Given relation is an = an-12 - 1 With a0 = 2

Q: Choose the number that best approximates each of the following 6 8 10 21 (a) + + + 25 33 41 (i) 3…

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Q: Suppose that |a| = 24. What is the generator of (a²l)n (a!o)? a20 a a14

A: Suppose that |a| = 24. We have to find the generator of <a21>∩<a10> .

Q: Let Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as 5…

A: The given problem is to find the entries of Mn for the given following matrix M. We have to find the…

Q: 3. (D² – D + 3)(x In x) 4. (D2— 3D + 4)(e* сos 2x)

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Q: 2 345 6 7 1/ 168 LEt a= 2. 1. 3457 a)Write a as a product of disjoint cycles. b) write a as a…

A: First we have to write alpha as a product of disjoint cycles-

Q: 10. a) Recursively define ao = 1, a; = 3, a2= 5 and an = 3an2 + 20ars for n2 3. Çalculate.gafor n =…

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Q: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum

Q: 14. Consider the permutations a = (5 21 4 3), B = (1 3)(2 4 6), y = (12 4)(3 5 6) of {1,2, 3, 4, 5,…

A: Which of the following is correct

Q: 5. Define * as a*b = a +b + ab, comput a. 3* -4 b. -1/2 * 3 с. 1/3 * (-1/5) d. -3 * ( -1/2) С.

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Q: in 36. O (32541) O (14523) O None of these O (16)(24)

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