Let T = a) 4 n, 5 1 The b) 4+n,

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

Q: 4-(3n+2) = 4(- 3n+5) %3D

A: Given : 4 - 3n + 2 = 4-3n + 5

Q: b) –5x + 3 > 8 6 –5 –4 –3 –2 –1 0 i 2 3 -3 - 2 4 5 6 |

A: Given, -5x+3≥8 Aim: Graph inequality

Q: Compute: 35] [30] : -1 5 20

A: According to the question,

Q: If n(A ∪ B) = 96 and n(A) = n(B) = 67, find n(A ∩ B).

A:

Q: Given A= 7 2 80 and B= - 2 3 find: a) A+B, b) A-B, c) 2A+5B

A: We need to find out the values as given.

Q: i) 3(-2) – (-2)7 + (-1)_ 2(5) – 6(-3) =

A: 3(-2)- (-2)*7+-1=-6+14-1=19 3(-2)- (-2)*7+-1-2(5)-6(-3)=-6+14-1-10+18=19+8=27

Q: 2zdz (z²–4

A: We will use substitution to solve this

Q: Q) find Projs ぶっi+) +3K, 5こてi-j+k

A: Given vector is : a→=i+2j+3kb→=2i-j+k To find the projection of b→ on a→.

Q: 4) Finde'A, if A = -2 24 -2 32 1 -2 1

A:

Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: All of them

A:

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: Any integer of the form 12k +11 is also of the form a) 3m + 1 b) 5m +2 4m + 3 6m + 1

A: Answer

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: lim (Vx2 +2x-x) ズ→

A:

Q: If 2 (5) = 72, then the value of n is:

A:

Q: d) √23-√37 √23+√37

A:

Q: 5+2-5+p 13) 3. 3) 28

A: Given: The equation 53p+23=5+p2p, To determine: The value of p,

Q: In Z12, what is the order of a +b if a = 6 and a = 2? 3 A C B.

A: SOLUTION-

Q: 5. Factor each expression. 8 e) (x- 3)' + (3x- 2y a) 27 b) - 432x 125 128x² -512 d) 512

A: Solution is given below:

Q: a) 5+3+1+(-1) ++ (-33)

A:

Q: 3S+8 2) L S42845 s428+5)

A: We need to find , Inverse Laplace Transform, of F(s) = 3s + 8s2 + 2s + 5 Since , F(s) = 3s + 8s2 +…

Q: 1) If A = 3 5 (³2) and B=(4) -4 d) B-1

A: Given,

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 69, find n(A ∩ B).

A: Given, n(A ∪ B) = 99 and n(A) = n(B) = 69   The objective is to find  n(A ∩ B).

Q: for b) where did you get 65

A: n = 10  The 95% confidence interval is 65±12 The mean is given in the question as 65 The mean = x¯ =…

Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: 72c2K+7) ニ72C2K+72)

A:

Q: 4) - 3 8 (33) A) 4 B) {-1} C) {-2} D) {1}

A: First we will cross multiply to given fraction a-63=688(a-6)=6(3)8a-48=18

Q: 2. If 24x = 16, then x = (A) I 2 (B) (C) 4 (D) 8 (E) 12

A:

Q: 56 C-16)

A:

Q: fox) = 2メ+1

A: Find the attachment

Q: Let B : and i Then (7)8

A:

Q: 10) Find mMX 6x + 4 7x+13 6x + 14 7.

A:

Q: 6) 5 Vx3у13 4xy 8y10 +

A: Consider the given expression:

Q: Z, x Z3 and Z3 × Z3 × Z3 Z21 and Z3 × Z,

A: CASE 1 In case of ℤ9×ℤ3, there exist at least one element of order equal to lcm(3,9)=9 In case of…

Q: 2) (-17) + (-22) + (-27) + (-32)..., A) -224 B) -448 C) -217 D) -218

A:

Q: 2+13y+ 12

A:

Q: 7.) What is the quotient of - and 3 45

A: