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

Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: find a Positive integern for which the equality holds %3D

A:

Q: a) A newly hired salesman is promised a beginning salary of $30, 000 a year with a $2000 raise every…

A:

Q: Let a= (123)(145) in S6. Write a101 in disjoint cycle form. O None of these (32541) O (14523) O…

A: Given G=S6 α = (123)(145) We have to find  α101 in a disjoint cycle form.

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

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A:

Q: Let f= (14723 5 6) and g = (1 5 3 264) be permutations in S. What is the second line of fin two-line…

A: Introduction: Permutation businesses are mathematical businesses whose individuals are permutations…

Q: Let a= (123)(145) in S6. Write a9 in disjoint cycle form. None of these (32541) O (14523) O (16)(24)

A:

Q: 2. Let x (1 3 4) and y= (1 24 3). (Note that these are the same permutations as in th previous…

A: (a) Here given x=1 3 4 =12343241 Thus  x-1=1 4 3=12344213 Because  1234324112344213=12341234=I

Q: A particularly long traffic light on your morning comm Assume that each morning represents an…

A:

Q: Find the term containing x in the Expansion of (x +3 y)*

A:

Q: One of the following divergent 8. 2n

A: let us take option number d)  ∑n=1∞an=∑n=1∞(-1)n2n2+12+3n2⇒an=(-1)n2n2+12+3n2

Q: ... Let a= (123)(145) in S6. Write a101 in disjoint cycle form. O (32541) O None of these O (14523)…

A: It is given that α=123145 in S6. We have to find α101.

Q: Let a= (123)(145) in S6. Write a99 in disjoint cycle form. O (32541) None of these (16)(24) (14523)

A:

Q: Let a= (123)(145) in S6. Write a101 in disjoint cycle form. O (32541) O (14523) O None of these O…

A:

Q: (b) |G| = 27 = 33 and |G'| = 125 = 53, but neither G nor G' are cyclic, show that the order of any…

A: Given that : G = 27 = 33 and G' = 125 = 53 To prove : G⊕G' < 226 In-order to value these…

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 a= (123)(145) in S6. Write a99 in disjoint cycle form. None of these O (16)(24) O (14523) O…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Let a= (123)(145) in S6. Write a99 in disjoint cycle form. O (14523) O (16)(24) O None of these O…

A: Let α=123145 in S6 It is to take powers of individual cycles, so we can write α as a product of…

Q: Find ²2 of z = In(xy) 8²y

A: Given: z=lnxy   As we know that; The Power law; ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And…

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

A: Permutation.

Q: Let a= (123)(145) in S6. Write a101 in disjoint cycle form. O (32541) O (14523) O (16)(24) None of…

A: Given that  a=(1 2 3)(1 4 5)

Q: Let a= (123)(145) in S6. Write a 102 in disjoint cycle form. None of these (16)(24) (32541) (14523)

A: Symmetric group problem....

Q: Write the first four terms of the sequence {an} defined by the following recurrence relation. an + 1…

A: We have the given nth term of a sequence {an} defined by the following recurrence relation as…

Q: X2/ Suppose sr=20142} and c-{ {o8} Enumcrate the cLass of all 6-tields Containing and give cce)

A:

Q: Find gcd (272, 1479) and find the integers x, y such that gcd(272, 1479) = 272x + 1479y

A:

Q: Let a= (123)(145) in S6. Write a202 in disjoint cycle form. (16)(24) (32541) None of these O (14523)

A: Use the concept of permutation group to solve this problem.

Q: Write the first four terms of the sequence {an} defined by the following recurrence relation. an + 1…

A:

Q: 101 Let a= (123)(145) in S6. Write a in disjoint cycle form. O (32541) O 4523) O 06)(24) O None of…

A:

Q: Show that z-503 is a undes ton Hthi mulhipha bon binang openaion the modul a7

A: The objective is to show that ℤ7-0 is a group under multiplication modulo 7. Now, ℤ7-0=1,2,3,4,5,6…

Q: Let a= (123)(145) in S6. Write a99 in disjoint cycle form. None of these (32541) (14523) O (16)(24)

A:

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: List all of the cycles in S4.

A: The symmetric group Sn is the group of bijections from any set of n objects, which we usually just…

Q: Find the Maclaurin serie: e2x

A:

Q: List all cosets of (([1]3, [2]6)) in Z3 × Ze

A:

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

A: Given α=123145 in S6 To find α99in disjoint cycle form

Q: Show that O let @ (x) be the step funetion Show that b x

A:

Q: Let a= (123)(145) in S6. Write a99 in disjoint cycle form. O None of these O (16)(24) O (14523) O…

A:

Q: 14 Let /= 8, x4 dx. Select all that apply x3 - 512

A:

Q: Let a= (123)(145) in S6. Write a101 in disjoint cycle form. O (16)(24) O (32541) None of these O…

A: α=(123)(145)

Q: Find given the generan rolwbon Of ODE the dy

A: To find The general solution of the given ODE.

Q: Which expression is an expanded form of In(t)?

A:

Q: Let a = (1432)(257)(654). (a) Find a disjoint cycle decomposition of a, i.e. write a as a product of…

A: Given a permutation, α=1432257654 That is,…

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

A: Order of r-cycle = r

Q: Classify the following ODE's with respect to order and linearity. a. 3x-y' - 5y = 7x³ - 8x+1

A: Given  a. 3x.y'-5y=7x3-8x+1b. xy2.y"-6xy'+2y=0

Q: Let a= (123)(145) in S6. Write a9 in disjoint cycle form. (32541) O (16)(24) O None of these O…

A:

Q: Do the FOund the 2=i point. Laurent expansion of the function w(2) %3D 22+1

A:

Q: compute the following sun using 11 clock arithmetic: Show all your work. 7 + 8(11clock)

A: