7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

Q: PROVE: Z3 = 26 k 2 4 3 a 5 8 7 b LO

A: Given:

Q: 18 9s 52-4s+4 s2-4s+4

A: Consider the given expression. 9ss2-4s+4-18s2-4s+4   The objective of the problem is to simplify the…

Q: c) 73x +3 = 21 d) 1 = 2(4*) – 5 Page 7 of 19 WCLN PCMath 12 - Rev. 2019 e) 3x+1 = 5% 1) 5(2³x-2) =…

A: We have to find the value of x As per guidelines we have to solve three parts

Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

A:

Q: 2. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2+ 5, express an in terms of n. 3. Let, a, = 3,…

A:

Q: 2 If C = |2 -1 0 Show that (C")-1 = (C-')" -2 2 2

A:

Q: = .7 and p, = .6. Test Ho: (P, – P2) =0 against Ho: (P, - P2) >0 using. .05 a =

A: Hypothesis testing about the difference between two population proportions is otherwise called…

Q: 2 2/The third term of a geometric sequace whose First term 2 and its FiFth tom 162 is ? A- az a 18…

A:

Q: 27. * Σ n(n - 1)anan-2. n=2 + n=0 and

A:

Q: 8. 3n+1 .251-n n#1

A: We have to solve given problem:

Q: 2 3 n a. If n E N, then + + + •+ 3! 4! (n+1)! (Hint: 3! (reads 3 factorial) = 3 x 2 x 1. n! = nx…

A: Induction theory: Let the given statement is P(n). Step-1: We need to check P(n) is true for n=1.(or…

Q: 6. If x = -4 and y = 2, then verify that. 7 (ii) - (x+y)= (-2) + Cy

A: 6 Given that x=−47and y=25. We have to verify that −x+y=−x+−y. First take left hand side -x+y…

Q: IfΣ (aκ + bk) 6n and n+1 k=1 n Σ (α- bk) then Lar = n+2 n k=1 k=1 5. 2 None 3. 2

A:

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: (1- k)cx b. Ck+2 (k+2)

A:

Q: Зх —7%3D 8х + 23-

A:

Q: (-1)**'n! 1-3-5..(2n+1) n+1

A: The objective is to find whether the series is convergent or divergent.

Q: 8. Determine (MN)-1 where M (:) 5 and N -5 2

A: The given matrices are M=8541  and  N=5-1-52. Evaluate MN as follows.…

Q: (21)3 if z1 = 1230°, z2 = 1260°, and z3 = 1245°, find , (z3)% %3D 1275° O 1Z175° O 1Z125° O 125°

A: We have to find out

Q: 2. Regarding the following statement: "If xs9, then -3 Sx and xS3." (a) Write down its converse.

A:

Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: 19. Algebra If mZRZT- 110, mRZs-36, and MZTZS- 8, what are mRZS and mTZS?

A:

Q: 3 5 - Let C= 2 6 |. Find - 5C. - 1

A: The given matrix is                                C=-3   5  2   6  0-1 We have to find -5C.

Q: μ1 = μ2 = 0, n2 = 27 and n1 = 19; thus df is:

A: Given that, μ1 = 0, μ2 = 0, n1 = 19, n2 = 27. df is degrees of freedom for testing the hypothesis,…

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: > (atan (2n – 1) – atan (2n +3)) n=0

A:

Q: 8. If n+1, 2n-1 and n+5 are in AP. Find the value of n

A:

Q: Suppose gcd(a, n) = 1. Then a(") = 1 (n

A:

Q: 6. Show that when 0 < |z – 1| < 2, Σ (z-1)(z-3) 00 --Σ n=0 = (z-1)" 2n+2 1 2(z - 1)*

A:

Q: 4β) 5 482/25 28 -10-t(n-1)

A: Random variable can be α=4,β Mean and variance can be, E(X)=αβ=4βVar(X)=αβ2=4β2 Size of sample is…

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Q: 2.3.1. (3a³b*)³ =Bab 10 3D59 049 ab 2.3.2. (-4a³b²)° -4ab3+2 (24 - 43+ 82)2 4 44 4 2.3.3. 4. 4.…

A: As per the guidelines we can solve 3 questions only.

Q: n(n – 1) is O(n²). 2 Show that

A: f(n) is O(g(n)) if there exist positive constants c and k such that f(n)≤c g(n) whenever n&gt;k.…

Q: k+1 In k + 2

A:

Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: (-5, 2). (3, -2) in z11 x Z4 is (0 ,5) (1 (3,0) (2 (3,5) None 4 3.

A: We have to find the element -5,2·3,-2 in Z11×Z4.

Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

Q: 5 Σ (3n + 2)(2n – 1) n = 3

A:

Q: What is the z-score if µ = 122, σ = 52.3, and x = 264.3? -1.74 2.72 -2.72 1.74

A: μ=122σ=52.3x=264.3z=?

Q: 2+8i)N2-8 i) Ja (Ja-aA

A:

Q: Q1. If n=3, expand µ = a"x;x¡ Q2. Write out the expression Tki (n=4) in full. Which are free and…

A:

Q: 28. The expansion of the binomial (x +y)2a +5 has 18 terms. The value of a is

A:

Q: 8, n+1 Zn(n + 2) n31

A:

Q: Since n.n=1 and n-n2=(2/2)/5 then n3 +3/5 %3D

A:

Q: 2n2 – 4n +1 is even → n is odd

A:

Q: 2. 4s+32 s²-16

A:

Q: M(-1)"+1cos²n n = 1

A: