12 For A = = || aud B=3 4 show that AB + BA

Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

A:

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

A:

Q: 30 Given that (1 – x + 3x?)15 = ana" 30 = ao + a1x + a2x + ... + a30x. %3D n=0 (a) Find ao. 30 (b)…

A: Given that

Q: d. None of the above (3) Based on part (2), we can deduce that: dw a. 1+ w2 Jo dw dw 1+ w? dw dw 1+…

A:

Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: Oa, 1+ 16a, 2+ 225n for n> 2 with initial conditions ag = -23, a1 -19.

A: Given recurrance relation is  an=16an-2+225n     , n≥2 and initial conditions are a0=-23, a1=-19

Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

A:

Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: 1. Which of the following is true a) D;= Ps = Qs b) D50 = P; = Q25 c) D;= Ps0 = Q2 %3D

A:

Q: 4. Show that for all formulas p, p,0 E S(P), (a) (9 = 4) = ¬(4 ^ ¬ab).

A:

Q: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: N/W 00 x9 ex, 3. .a O 16 3 IT bC 4 .cO 3

A:

Q: Q D 2. Identify the missing information necessary to prove that TV 1 SU S O <SVT ZUVT O ST SV ST UT…

A: Given:     Triangle Figures is given

Q: 3. A populatian of NE7 scares na 3 a meañ of H=13. Wnat is the alve of Ex for this popuation ?

A: We have given that, A population size N=7 and Mean μ = 13   Mean μ: It is the sum of total…

Q: Q1) If B = B-1 then B = I or B = -I. Prove or give counter example. %3D

A: A detailed solution is given below.

Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: -10 -4 3 6 Qs: A- Given A = L -4 and B = -8. 2 -14 -28 Prove that: - AB+BA = -7 14

A:

Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

Q: For which situation is n = EX? a. when the values of X have no duplicates b. when the values of X…

A: Solution:- We have given that,      for which situation is  n=Σ X ?

Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: (b) Pr[X > 0.6n] < 0.85. Let X be the number of HEADS after n fair coin tosses. Show that

A:

Q: Which of these is a possible solution for cscx + Oin the interval 0 < x < 2r? O x = 3 O x = 3

A:

Q: 2 4 Q2) Assume A = |1 3 and B = show that (AB)' = B' A' 3 4] l3 6 4

A:

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

A:

Q: Which of the following is nota possible rvalue? A. 1.6 О В. -0.6 С. 0.3 ) D. -0.3

A: In this case, we need to identify the correct option.

Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

A:

Q: For which values of a and m does ax = 1 have a solutionin Z m?

A: To find for which values of a and m does ax=1 have a solution in Zm. Zm=0,1,2,....,m-1 when a=0,…

Q: 1. Simplify the following expressions: a) 2 In Ve b) In(e-x²-y²) c) In(In e*)

A: Simplify the following expression.   (a).  2 lne             ⇒2 lne=2 lne12  ⇒2 lne=12×2 lne   ,…

Q: 8. Prove 3n e R|n? – n < 0

A:

Q: 3 Reverse the order of whyndien of ? X (6x-2) dyds x- 4

A:

Q: Q4/ If A = 3 - l: prove A-A-5I = 0

A: Given that: A=213-1

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

A: Given :A=123456101

Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

A: The solution is given as

Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

A:

Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

A:

Q: (-1) is where n is an integer. equal to the above e(1+2n)i where n is an integer. equal to the abov…

A: We know from eular formula e^iθ = cos θ + isin θ

Q: 4y – 3 51 54 D 57 S. 17х + 3

A:

Q: (33) Let X = b(20, p) and E-x) = E(3–10x) find p. р.

A: Let X follows binomial distribution with parameters ( n =20, p) The mean of X is, Use the…

Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

A:

Q: [2 Q2) Assume A = |1 3 11 show that (AB)' = B' A' 6. 4 and B = 13 4. 213

A:

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.