(1 2 3 4 5 5 1 3 6 2 2. Let o = E S6. 1. Wi des 2. 3. 4. What is the size of the conjugacy class of o? IHow many elements of S6 commute with o? 5. 6.

Q: 3. 10.11let A=r. 2. 3. Find the values of d and which A घ is singular

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

Q: 13. Recall Z = {..,-2,–1,0,1,2,..} (the integers). Let Z* = {1,2,3,.} be the positive integers. Let…

A: Given: ℤ=…, -2, -1, 0, 1, 2, … and ℤ+=1, 2, 3, …

Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

Q: 5. SET-B Form the PDE of the following by eliminating arbitrary constants a and b from Z = (3x - a)²…

A:

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

Q: 6. Let r> 2 be an integer. Show that R(2r, 2r) > 2

A:

Q: 5) Evaluate the expressions below if K(s) = 3s² - s+6. a) K(s+2) b) K(s) +2

A:

Q: 3. (E1.7-Q8) Find A², A-2, and A-k (where k is any integer). -6 0 0 0 0 30 0 5

A: To find , , and  (where  is any integer).

Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

Q: Let M = {x + 1, x2-2,3x). %3D Which of the following statements is true about M? O None of the…

A:

Q: k = 4 4. Let k be the second smallest nonzero digit of your Student ID. Compute the order of (k, k)…

A: To find the order of (4,4) .

Q: The number of the element(s) of order 2 in Z3 O Z6 O 2 3

A: Given  ℤ3⊕ℤ6

Q: I. True or False. 1. N is closed under subtraction. 2. Z is closed under division. 3. Vx2 = -x if x…

A: A detailed solution is given below.     (As per our guidelines, We are supposed to answer only 3…

Q: [(a1 + az + a5) – (a2 + a4)] + & 2 [(B1 + B3 + B5) + A (B2 + B4)] (4.21) [(a1 + a3 + a5) - (a2+ a4)]…

A: Given,        P=α1+α3+α5-α2+α4+δ2β1+β3+β5+Aβ2+β4                ...(4.21)…

Q: 5. IFAJKL-AMKN, find LK. * 3x – 13 14 M x + 14 (12 L

A: Explanation: Given that,  △JKL~△MKNMK=3x-13KN=x+14JK=3x-13+14=3x+1KL=x+14+12=x+26   Concept used: In…

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: 9. (a+b) (C+5) = (C+5)(a+b) ac+5a+bC+5b=ca+cb+5950 Jason scord a 83% out of 100 and his percentile…

A: Given thatJasan scored 83% of marks out of 100 and his percentile rank was 72.Royce score 85% of…

Q: Find the order of each of the following elements. [from #2, 4.5] a) 5 € Z12 b) -i E C*

A:

Q: Consider Z=~N(0,1), Find P(-1.961.96) O a. 0.75 O b.0.75 Or0 95

A: Given, Z ~ Normal (0,1) where, μ = 0 σ = 1 P(-1.96<z<1.96) = P(z<1.96) - P(z<-1.96) =…

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: WHAT IS O H|5 Se-5x dx 1 e -5x + C -e e-5x + C -¹e-5x + C 5 e-5x + C

A:

Q: Ex:@ write out the expessicn în full- dummy indices 9 Hownany summakins aue theie y R (n=4) jki…

A: First we write expression of curvature tensor

Q: - Show that an = is monotone. n+2n+7 "}= •

A:

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

A:

Q: 2. Completely simplify O(+1), x4, x-4 3(x+4) 2(x-4) O4, x4, x-4 2(x+4) 3 O4), x4, x 2(x-4) −4 3…

A: To simplify the given rational expression

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

A:

Q: 7. Find the quotient of each of the following. State the non-permissible value(s). 2x x+4 b. 6x+6…

A:

Q: 6.26. Let n > 2. Show that every element of S, can be written as a product of cranspositions of the…

A: Let n≥2. Show that every element of Sn can be written as the product oftransposition of the form 1,i…

Q: Find all the conjugacy classes of D4.

A: We have to find conjugacy Classes of the Dihedral Group, D4

Q: 5. Find b if A is symmetric -3 b²] 90 67.0

A: If a Matrix is symmetric then A transpose is equal to A

Q: 2. Almost! But there's nothing that maps to 0. In your notes at the top you've listed ℕ={1,2,3,…},…

A: Solution:  f : Z → N Consider f(x) = |x| Now, we see, f(-1) = |-1| = 1 and f(1) = |1| = 1 although…

Q: Determine the value of the element in g32 3 7 15 0 - G = 0. 3 3 1 -1 6 7. O-1 6. 3

A: Compare given two matrices we get required element

Q: Let :[6.-5] and = [-1,5). Find the vecror %3D 7 =62-55 and its additive in verse

A: Given that: x→=[6,-5] and y→=[-1,-5]